{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T00:27:01Z","timestamp":1786580821636,"version":"3.56.0"},"reference-count":81,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,18]],"date-time":"2026-07-18T00:00:00Z","timestamp":1784332800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100014180","name":"Junta de Castilla y Leon","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100014180","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011033","name":"Agencia Estatal de Investigaci\u00f3n","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100011033","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.cnsns.2026.110552","type":"journal-article","created":{"date-parts":[[2026,7,13]],"date-time":"2026-07-13T06:32:20Z","timestamp":1783924340000},"page":"110552","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P2","title":["The Fock-Darwin-Darboux system: Eigenstates, information entropies and dispersion-like measures"],"prefix":"10.1016","volume":"163","author":[{"given":"Ignacio","family":"Baena-Jimenez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Angel","family":"Ballesteros","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8607-6609","authenticated-orcid":false,"given":"Ivan","family":"Gutierrez-Sagredo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.110552_bib0001","article-title":"Quantum computing and industrial information integration: a review","volume":"35","author":"Lu","year":"2023","journal-title":"J Ind Inf Integr"},{"key":"10.1016\/j.cnsns.2026.110552_bib0002","doi-asserted-by":"crossref","DOI":"10.1103\/RevModPhys.95.011002","article-title":"Colloquium: quantum anomalous hall effect","volume":"95","author":"Chang","year":"2023","journal-title":"Rev Mod Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0003","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1038\/s41535-021-00399-2","article-title":"3D quantum Hall effects and nonlinear Hall effect","volume":"6","author":"Li","year":"2021","journal-title":"Npj Quantum Mater"},{"key":"10.1016\/j.cnsns.2026.110552_bib0004","doi-asserted-by":"crossref","DOI":"10.1038\/s41467-021-24725-1","article-title":"Spin defects in hbn as promising temperature, pressure and magnetic field quantum sensors","volume":"12","author":"Gottscholl","year":"2021","journal-title":"Nat Commun"},{"key":"10.1016\/j.cnsns.2026.110552_bib0005","doi-asserted-by":"crossref","first-page":"15641","DOI":"10.1364\/OE.425851","article-title":"High-sensitivity operation of a single-beam atomic magnetometer for three-axis magnetic field measurement","volume":"29","author":"Tang","year":"2021","journal-title":"Opt Express"},{"key":"10.1016\/j.cnsns.2026.110552_bib0006","doi-asserted-by":"crossref","DOI":"10.1002\/qute.202200146","article-title":"Quantum-based magnetic field sensors for biosensing","volume":"6","author":"Bao","year":"2023","journal-title":"Adv Quantum Technol"},{"key":"10.1016\/j.cnsns.2026.110552_bib0007","doi-asserted-by":"crossref","DOI":"10.1098\/rsif.2022.0325","article-title":"Magnetic field effects in biology from the perspective of the radical pair mechanism","volume":"19","author":"Zadeh-Haghighi","year":"2022","journal-title":"J R Soc Interface"},{"key":"10.1016\/j.cnsns.2026.110552_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108194","article-title":"Nonexistence of integrable nonlinear magnetic fields with invariants quadratic in momenta","volume":"138","author":"Erd\u00e9lyi","year":"2024","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0009","doi-asserted-by":"crossref","first-page":"2065","DOI":"10.1063\/1.1340868","article-title":"Variable separation for natural hamiltonians with scalar and vector potentials on Riemannian manifolds","volume":"42","author":"Benenti","year":"2001","journal-title":"J Math Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0010","doi-asserted-by":"crossref","unstructured":"Ekelchik T., Marchesiello A.. Superintegrable 2d systems in magnetic fields with a parabolic type integral, 2026. arXiv preprint arXiv: 2604.20465.","DOI":"10.46298\/ocnmp.18305"},{"key":"10.1016\/j.cnsns.2026.110552_bib0011","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1007\/BF01390750","article-title":"Bemerkung zur quantelung des harmonischen oszillators im magnetfeld","volume":"47","author":"Fock","year":"1928","journal-title":"Z F\u201dur Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0012","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1017\/S0305004100009373","article-title":"The diamagnetism of the free electron","volume":"27","author":"Darwin","year":"1931","journal-title":"Math Proc Camb Philos Soc"},{"key":"10.1016\/j.cnsns.2026.110552_bib0013","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.aop.2017.05.003","article-title":"Superintegrability of the Fock\u2013Darwin system","volume":"383","author":"Drigho-Filho","year":"2017","journal-title":"Ann Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0014","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.74.155301","article-title":"Emission from a highly excited single inas-Gaas quantum dot in magnetic fields: an excitonic Fock-Darwin diagram","volume":"74","author":"Babinski","year":"2006","journal-title":"Phys Rev B Condens Matter Mater Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0015","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.101.226807","article-title":"Fock-Darwin-like quantum dot states formed by charged mn interstitial ions","volume":"101","author":"Makarovsky","year":"2008","journal-title":"Phys Rev Lett"},{"key":"10.1016\/j.cnsns.2026.110552_bib0016","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.80.153302","article-title":"Magnetoconfined levels in a parabolic quantum dot: an analytical solution of a three-dimensional Fock-Darwin problem in a tilted magnetic field","volume":"80","author":"Henriques","year":"2009","journal-title":"Phys Rev B Condens Matter Mater Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0017","doi-asserted-by":"crossref","first-page":"3347","DOI":"10.1103\/PhysRevLett.71.3347","article-title":"Single-electron capacitance spectroscopy of few-electron artificial atoms in a magnetic field: theory and experiment","volume":"71","author":"Hawrylak","year":"1993","journal-title":"Phys Rev Lett"},{"key":"10.1016\/j.cnsns.2026.110552_bib0018","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1088\/0034-4885\/64\/6\/201","article-title":"Few-electron quantum dots","volume":"64","author":"Kouwenhoven","year":"2001","journal-title":"Rep Prog Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0019","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1209\/epl\/i2000-00503-6","article-title":"Enhanced dynamical symmetries and quantum degeneracies in mesoscopic quantum dots: role of the symmetries of closed classical orbits","volume":"51","author":"Johnson","year":"2000","journal-title":"Europhys Lett"},{"key":"10.1016\/j.cnsns.2026.110552_bib0020","doi-asserted-by":"crossref","first-page":"8163","DOI":"10.1103\/PhysRevB.49.8163","article-title":"Electronic properties of anisotropic quantum dots in a magnetic field","volume":"49","author":"Madhav","year":"1994","journal-title":"Phys Rev B"},{"key":"10.1016\/j.cnsns.2026.110552_bib0021","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.85.153301","article-title":"Strong enhancement of rashba spin-orbit coupling with increasing anisotropy in the fock-darwin states of a quantum dot","volume":"85","author":"Avetisyan","year":"2012","journal-title":"Phys Rev B"},{"key":"10.1016\/j.cnsns.2026.110552_bib0022","doi-asserted-by":"crossref","first-page":"5209","DOI":"10.1364\/OE.554614","article-title":"Manifesting the connection between Laguerre-Gaussian modes and hypotrochoid modes from quantum Fock-Darwin system","volume":"33","author":"Chen","year":"2025","journal-title":"Opt Express"},{"key":"10.1016\/j.cnsns.2026.110552_bib0023","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1038\/s41467-019-14053-w","article-title":"Coherent spin control of s-, p-, d- and f-electrons in a silicon quantum dot","volume":"11","author":"Leon","year":"2020","journal-title":"Nat Commun"},{"key":"10.1016\/j.cnsns.2026.110552_bib0024","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.101.012116","article-title":"Quasistatic and quantum-adiabatic otto engine for a two-dimensional material: the case of a graphene quantum dot","volume":"101","author":"Pen\u00e3","year":"2020","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110552_bib0025","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1016\/j.physd.2007.09.021","article-title":"A maximally superintegrable system on a n-dimensional space of nonconstant curvature","volume":"237","author":"Ballesteros","year":"2008","journal-title":"Phys D Nonlinear Phenom"},{"key":"10.1016\/j.cnsns.2026.110552_bib0026","doi-asserted-by":"crossref","first-page":"1431","DOI":"10.1016\/j.physleta.2011.02.034","article-title":"A new exactly solvable quantum model in n dimensions","volume":"375","author":"Ballesteros","year":"2011","journal-title":"Phys Lett A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0027","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1016\/j.aop.2011.03.002","article-title":"Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability","volume":"326","author":"Ballesteros","year":"2011","journal-title":"Ann Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0028","series-title":"Le\u00e7ons Sur La Th\u00e9orie G\u00e9n\u00e9rale Des Surfaces Et Les Applications G\u00e9om\u00e9triques Du Calcul Infinit\u00e9simal; Volume 4","author":"Darboux","year":"1972"},{"issue":"16","key":"10.1016\/j.cnsns.2026.110552_bib0029","doi-asserted-by":"crossref","DOI":"10.1088\/0264-9381\/25\/16\/165005","article-title":"Bertrand spacetimes as kepler\/oscillator potentials","volume":"25","author":"Ballesteros","year":"2008","journal-title":"Class Quantum Gravity"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110552_bib0030","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1088\/0264-9381\/9\/4\/016","article-title":"Bertrand spacetimes","volume":"9","author":"Perlick","year":"1992","journal-title":"Class Quantum Gravity"},{"key":"10.1016\/j.cnsns.2026.110552_bib0031","article-title":"A generalized self-consistent approach to study position-dependent mass in semiconductors organic heterostructures and crystalline impure materials","volume":"124","author":"El-Nabulsi","year":"2020","journal-title":"Phys E Low Dimens Syst Nanostructures"},{"key":"10.1016\/j.cnsns.2026.110552_bib0032","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1038\/nnano.2017.46","article-title":"Position-dependent and millimetre-range photodetection in phototransistors with micrometre-scale graphene on sic","volume":"12","author":"Sarker","year":"2017","journal-title":"Nat Nanotechnol"},{"key":"10.1016\/j.cnsns.2026.110552_bib0033","article-title":"Influence of position-dependent effective mass on the nonlinear optical properties in alxga1-xas\/gaas single and double triangular quantum wells","volume":"115","author":"Zhao","year":"2020","journal-title":"Phys E Low Dimens Syst Nanostructures"},{"key":"10.1016\/j.cnsns.2026.110552_bib0034","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s40509-015-0037-7","article-title":"New scenarios for classical and quantum mechanical systems with position-dependent mass","volume":"2","author":"Morris","year":"2015","journal-title":"Quantum Stud Math Found"},{"key":"10.1016\/j.cnsns.2026.110552_bib0035","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1016\/j.physleta.2016.12.040","article-title":"On hamiltonians with position-dependent mass from Kaluza-Klein compactifications","volume":"381","author":"Ballesteros","year":"2017","journal-title":"Phys Lett A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0036","doi-asserted-by":"crossref","DOI":"10.1016\/j.aop.2023.169543","article-title":"The dunkl oscillator on a space of nonconstant curvature: an exactly solvable quantum model with reflections","volume":"460","author":"Ballesteros","year":"2024","journal-title":"Ann Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0037","article-title":"Self-localized solitons of a q-deformed quantum system","author":"Bayindir","year":"2020","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0038","doi-asserted-by":"crossref","first-page":"4653","DOI":"10.1016\/j.cnsns.2012.05.033","article-title":"An image encryption scheme based on quantum logistic map","volume":"17","author":"Akhshani","year":"2012","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0039","article-title":"Applications in electronic systems","volume":"02","year":"2015","journal-title":"J Theor Comput Sci"},{"key":"10.1016\/j.cnsns.2026.110552_bib0040","doi-asserted-by":"crossref","first-page":"2602","DOI":"10.1103\/PhysRevA.59.2602","article-title":"Universal geometric approach to uncertainty, entropy and information","volume":"59","author":"Hall","year":"2000","journal-title":"Phys Rev A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0041","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.74.052101","article-title":"Formulation of the uncertainty relations in terms of the R\u00e9nyi entropies","volume":"74","author":"Bialynicki-Birula","year":"2006","journal-title":"Phys Rev A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0042","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1016\/j.physa.2006.09.019","article-title":"On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles","volume":"375","author":"Zozor","year":"2006","journal-title":"Phys A Stat Mech Appl"},{"key":"10.1016\/j.cnsns.2026.110552_bib0043","doi-asserted-by":"crossref","first-page":"164","DOI":"10.3390\/e19040164","article-title":"Heisenberg and entropic uncertainty measures for large-dimensional harmonic systems","volume":"19","author":"Puertas-Centeno","year":"2017","journal-title":"Entropy"},{"key":"10.1016\/j.cnsns.2026.110552_bib0044","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst Tech J"},{"key":"10.1016\/j.cnsns.2026.110552_bib0045","series-title":"Elements of Information Theory","author":"Cover","year":"2001"},{"key":"10.1016\/j.cnsns.2026.110552_bib0046","series-title":"Entropy and Information Theory","author":"Gray","year":"1990"},{"key":"10.1016\/j.cnsns.2026.110552_bib0047","series-title":"Proceedings of the fourth berkeley symposium on mathematical statistics and probability","first-page":"547","article-title":"On measures of entropy and information","volume":"vol. 1","author":"R\u00e9nyi","year":"1961"},{"key":"10.1016\/j.cnsns.2026.110552_bib0048","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","article-title":"Possible generalization of Boltzmann-Gibbs statistics","volume":"52","author":"Tsallis","year":"1988","journal-title":"J Stat Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0049","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1137\/1019093","article-title":"On measures of information and their characterizations (j. acz\u00e9l and z. dar\u00f3czy)","volume":"19","author":"Campbell","year":"1977","journal-title":"SIAM Rev"},{"key":"10.1016\/j.cnsns.2026.110552_bib0050","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.aop.2004.01.002","article-title":"The world according to R\u00e9nyi: thermodynamics of multifractal systems","volume":"312","author":"Jizba","year":"2004","journal-title":"Ann Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0051","doi-asserted-by":"crossref","first-page":"2153","DOI":"10.1214\/07-AOS539","article-title":"A class of R\u00e9nyi information estimators for multidimensional densities","volume":"36","author":"Leonenko","year":"2008","journal-title":"Ann Stat"},{"key":"10.1016\/j.cnsns.2026.110552_bib0052","series-title":"Statistical Complexity","author":"Bialynicki-Birula","year":"2011"},{"key":"10.1016\/j.cnsns.2026.110552_bib0053","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.aop.2015.01.031","article-title":"Role of information theoretic uncertainty relations in quantum theory","volume":"355","author":"Jizba","year":"2014","journal-title":"Ann Phys"},{"issue":"e26220","key":"10.1016\/j.cnsns.2026.110552_bib0054","article-title":"R\u00e9nyi and Tsallis entropies of the Dirichlet and Neumann one-dimensional quantum wells","volume":"120","author":"Olendski","year":"2020","journal-title":"Int J Quantum Chem"},{"key":"10.1016\/j.cnsns.2026.110552_bib0055","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1002\/andp.201400228","article-title":"Comparative analysis of electric field influence on the quantum wells with different boundary conditions.: i. energy spectrum, quantum information entropy and polarization","volume":"527","author":"Olendski","year":"2015","journal-title":"Ann Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0056","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1016\/j.cnsns.2016.04.006","article-title":"A fractal derivative model for the characterization of anomalous diffusion in magnetic resonance imaging","volume":"39","author":"Liang","year":"2016","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0057","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.cnsns.2009.02.025","article-title":"Magnetic field line diffusion coefficient and Kolmogorov entropy in the percolation regime","volume":"15","author":"Bitane","year":"2010","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0058","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/j.cnsns.2018.04.002","article-title":"Analytical solutions to mixed convection mhd fluid flow induced by a nonlinearly deforming permeable surface","volume":"63","author":"Turkyilmazoglu","year":"2018","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"10.1016\/j.cnsns.2026.110552_bib0059","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.83.214425","article-title":"R\u00e9nyi entropy and parity oscillations of anisotropic spin-s Heisenberg chains in a magnetic field","volume":"83","author":"Xavier","year":"2011","journal-title":"Phys Rev B Condens Matter Mater Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0060","doi-asserted-by":"crossref","DOI":"10.1142\/S0219887822500906","article-title":"Magnetic field effect on dynamics of entanglement for time-dependent harmonic oscillator","volume":"19","author":"Hab-arrih","year":"2022","journal-title":"Int J Geom Methods Mod Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0061","doi-asserted-by":"crossref","DOI":"10.1016\/j.physleta.2020.126415","article-title":"The physics of helical electron beam in a uniform magnetic field as a testing ground of gauge principle","volume":"384","author":"Wakamatsu","year":"2020","journal-title":"Phys Lett a"},{"key":"10.1016\/j.cnsns.2026.110552_bib0062","article-title":"Radial distribution of charged particles in a magnetic field","volume":"86","author":"Sjue","year":"2014","journal-title":"Rev Sci Instrum"},{"key":"10.1016\/j.cnsns.2026.110552_bib0063","doi-asserted-by":"crossref","DOI":"10.1016\/j.physd.2022.133618","article-title":"Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature","volume":"445","author":"Ballesteros","year":"2023","journal-title":"Phys D Nonlinear Phenom"},{"key":"10.1016\/j.cnsns.2026.110552_bib0064","doi-asserted-by":"crossref","DOI":"10.1016\/j.physd.2026.135225","article-title":"R\u00e9nyi and tsallis information entropies for the darboux III quantum nonlinear oscillator","volume":"492","author":"Baena-Jimenez","year":"2026","journal-title":"Phys D Nonlinear Phenom"},{"key":"10.1016\/j.cnsns.2026.110552_bib0065","series-title":"Collected Papers of L. D. Landau","author":"Landau","year":"1965"},{"key":"10.1016\/j.cnsns.2026.110552_bib0066","doi-asserted-by":"crossref","first-page":"2309","DOI":"10.1063\/1.1360711","article-title":"The hausdorff entropic moment problem","volume":"42","author":"Romera","year":"2001","journal-title":"J Math Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0067","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.93.060104","article-title":"One-parameter class of uncertainty relations based on entropy power","volume":"93","author":"Jizba","year":"2016","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110552_bib0068","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.physa.2014.07.008","article-title":"Multifractal diffusion entropy analysis: optimal bin width of probability histograms","volume":"413","author":"Jizba","year":"2014","journal-title":"Phys A Stat Mech Appl"},{"key":"10.1016\/j.cnsns.2026.110552_bib0069","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.86.134201","article-title":"R\u00e9nyi entropy and the multifractal spectra of systems near the localization transition","volume":"86","author":"Chen","year":"2012","journal-title":"Phys Rev B Condens Matter Mater Phys"},{"key":"10.1016\/j.cnsns.2026.110552_bib0070","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/S0378-4371(99)00449-5","article-title":"Information entropy and power-law distributions for chaotic systems","volume":"277","author":"Bashkirov","year":"2000","journal-title":"Phys A Stat Mech Appl"},{"key":"10.1016\/j.cnsns.2026.110552_bib0071","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1140\/epja\/i2009-10799-0","article-title":"Nonadditive entropy: the concept and its use","volume":"40","author":"Tsallis","year":"2008","journal-title":"Eur Phys J A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0072","doi-asserted-by":"crossref","first-page":"1060","DOI":"10.3390\/e21111060","article-title":"R\u00e9nyi and Tsallis entropies of the aharonov\u2013bohm ring in uniform magnetic fields","volume":"21","author":"Olendski","year":"2019","journal-title":"Entropy"},{"key":"10.1016\/j.cnsns.2026.110552_bib0073","doi-asserted-by":"crossref","first-page":"4800","DOI":"10.1016\/j.physa.2008.04.010","article-title":"Some extensions of the uncertainty principle","volume":"387","author":"Zozor","year":"2008","journal-title":"Phys A Stat Mech Appl"},{"key":"10.1016\/j.cnsns.2026.110552_bib0074","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/0375-9601(95)00500-3","article-title":"The Sobolev inequality and the Tsallis entropic uncertainty relation","volume":"205","author":"Rajagopal","year":"1995","journal-title":"Phys Lett A"},{"key":"10.1016\/j.cnsns.2026.110552_bib0075","doi-asserted-by":"crossref","first-page":"91","DOI":"10.4310\/MAA.1997.v4.n1.a7","article-title":"Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials","volume":"4","author":"Dehesa","year":"1997","journal-title":"Methods Appl Anal"},{"key":"10.1016\/j.cnsns.2026.110552_bib0076","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1140\/epjst\/e2018-00092-4","article-title":"Exact R\u00e9nyi entropies of d-dimensional harmonic systems","volume":"227","author":"Puertas-Centeno","year":"2018","journal-title":"Eur Phys J Spec Top"},{"key":"10.1016\/j.cnsns.2026.110552_bib0077","doi-asserted-by":"crossref","first-page":"1129","DOI":"10.1016\/j.cam.2010.07.022","article-title":"Direct spreading measures of Laguerre polynomials","volume":"235","author":"S\u00e1nchez-Moreno","year":"2011","journal-title":"J Comput Appl Math"},{"key":"10.1016\/j.cnsns.2026.110552_bib0078","series-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables","volume":"vol. 55","year":"1968"},{"key":"10.1016\/j.cnsns.2026.110552_bib0079","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1140\/epjp\/s13360-020-00736-7","article-title":"Dispersion and entropy-like measures of multidimensional harmonic systems. application to rydberg states and high-dimensional oscillators","volume":"135","author":"Dehesa","year":"2020","journal-title":"Eur Phys J Plus"},{"key":"10.1016\/j.cnsns.2026.110552_bib0080","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/S0895-7177(03)00003-7","article-title":"Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals","volume":"37","author":"Srivastava","year":"2003","journal-title":"Math Comput Model"},{"key":"10.1016\/j.cnsns.2026.110552_bib0081","series-title":"Two-dimensional Fourier transforms in polar coordinates","first-page":"1","volume":"vol. 165","author":"Baddour","year":"2011"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426009068?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426009068?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,8,12]],"date-time":"2026-08-12T23:28:30Z","timestamp":1786577310000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426009068"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":81,"alternative-id":["S1007570426009068"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110552","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The Fock-Darwin-Darboux system: Eigenstates, information entropies and dispersion-like measures","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110552","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"110552"}}