{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T03:29:53Z","timestamp":1743046193908,"version":"3.40.3"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031718007"},{"type":"electronic","value":"9783031718014"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-71801-4_34","type":"book-chapter","created":{"date-parts":[[2024,10,2]],"date-time":"2024-10-02T08:02:39Z","timestamp":1727856159000},"page":"464-473","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Application of the Numerical Phase Method to Find the Electronic Energy Spectrum in a Spherical Quantum Dot with Arbitrary Confining Potential"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9072-164X","authenticated-orcid":false,"given":"Roman","family":"Leshko","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-7282-8050","authenticated-orcid":false,"given":"Vitaliy","family":"Hol\u2019skyi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7549-2335","authenticated-orcid":false,"given":"Ihor","family":"Stolyarchuk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4535-6129","authenticated-orcid":false,"given":"Viktor","family":"Brytan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0476-3406","authenticated-orcid":false,"given":"Dmytro","family":"Karpyn","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3172-5499","authenticated-orcid":false,"given":"Olha","family":"Harbych","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,10,2]]},"reference":[{"key":"34_CR1","doi-asserted-by":"publisher","DOI":"10.1103\/PRXQuantum.3.030319","volume":"3","author":"M Vasmer","year":"2022","unstructured":"Vasmer, M., Kubica, A.: Morphing quantum codes. PRX Quant. 3, 030319 (2022)","journal-title":"PRX Quant."},{"issue":"1","key":"34_CR2","doi-asserted-by":"publisher","first-page":"5","DOI":"10.3390\/computation11010005","volume":"11","author":"GA Mantashian","year":"2023","unstructured":"Mantashian, G.A., Mantashyan, P.A., Hayrapetyan, D.B.: Modeling of quantum dots with the finite element method. Computation 11(1), 5 (2023). https:\/\/doi.org\/10.3390\/computation11010005","journal-title":"Computation"},{"key":"34_CR3","volume-title":"Quasiparticles in nanosystems","author":"MV Tkach","year":"2015","unstructured":"Tkach, M.V., Seti, Y., Voytsekhivska, O.M.: Quasiparticles in nanosystems. Wires, and Films. Books-XXI, Chernivtsi, Quantum Dots (2015)"},{"key":"34_CR4","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1016\/j.physe.2019.01.024","volume":"110","author":"RY Leshko","year":"2019","unstructured":"Leshko, R.Y., Bilynskyi, I.V.: The hole energy spectrum of an open spherical quantum dot within the multiband model. Phys. E 110, 10\u201314 (2019)","journal-title":"Phys. E"},{"key":"34_CR5","volume-title":"Numerical methods in quantum mechanics","author":"P Giannozzi","year":"2021","unstructured":"Giannozzi, P.: Numerical methods in quantum mechanics. Formerly at University of Udine, Udine (2021)"},{"issue":"21","key":"34_CR6","doi-asserted-by":"publisher","first-page":"11765","DOI":"10.1021\/acs.jpcc.1c02874","volume":"125","author":"T Preston","year":"2021","unstructured":"Preston, T., Snee, D.: FT calculations of InP quantum dots: model chemistries, surface passivation, and open-shell singlet ground states. J. Phys. Chem. C 125(21), 11765\u201311772 (2021)","journal-title":"J. Phys. Chem. C"},{"key":"34_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.micrna.2023.207615","volume":"181","author":"RY Leshko","year":"2023","unstructured":"Leshko, R.Y., Bilynskyi, I.V., Leshko, O.V.: Electron energy spectrum of the non-concentric spherical core-shell quantum dot. Micro and Nanostructures 181, 207615 (2023)","journal-title":"Micro and Nanostructures"},{"key":"34_CR8","volume-title":"Quantum mechanics: textbook","author":"IO Vakarchuk","year":"2012","unstructured":"Vakarchuk, I.O.: Quantum mechanics: textbook. Ivan Franko National University of Lviv, Lviv (2012)"},{"key":"34_CR9","doi-asserted-by":"publisher","DOI":"10.1201\/b17899","volume-title":"Quantum mechanics I","author":"S Rajasekar","year":"2014","unstructured":"Rajasekar, S., Velusamy, R.: Quantum mechanics I. CRC Press, Boca Raton (2014)"},{"key":"34_CR10","doi-asserted-by":"publisher","first-page":"1846","DOI":"10.1016\/j.cma.2011.02.008","volume":"200","author":"C Huajie","year":"2011","unstructured":"Huajie, C., Lianhua, H., Aihui, Z.: Finite element approximations of nonlinear eigenvalue problems in quantum physics. Comput. Methods Appl. Mech. Eng. 200, 1846\u20131865 (2011)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"34_CR11","first-page":"914","volume":"5","author":"A Soba","year":"2009","unstructured":"Soba, A.: A finite element method solver for time-dependent and stationary schrodinger equations with a generic potential. Commun. Comput. Phys. 5, 914\u2013927 (2009)","journal-title":"Commun. Comput. Phys."},{"key":"34_CR12","doi-asserted-by":"crossref","unstructured":"Caruso, F., Oguri, V., Silveira, F.: Applications of the numerov method to simple quantum systems using python.ArXiv, https:\/\/arxiv.org\/abs\/2203.15262. Accessed 29 March 2022","DOI":"10.1590\/1806-9126-rbef-2022-0098"},{"key":"34_CR13","unstructured":"Kalitkin, N.N.: Numerical methods. Nauka (1978)"},{"key":"34_CR14","doi-asserted-by":"crossref","unstructured":"F\u00f6rster., J., Saenz, A., Wolff, U.: Matrix algorithm for solving schr\u00f6dinger equations with position-dependent mass or complex optical potentials. Phys. Rev. E 86, 016701 (2012)","DOI":"10.1103\/PhysRevE.86.016701"},{"key":"34_CR15","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1119\/1.4748813","volume":"80","author":"M Pillai","year":"2012","unstructured":"Pillai, M., Goglio, J., Walker, T.G.: Matrix numerov method for solving schr\u00f6dinger\u2019s equation. Am. J. Phys. 80, 1017\u20131019 (2012)","journal-title":"Am. J. Phys."},{"key":"34_CR16","volume-title":"Interval finite element method with MATLAB","author":"S Nayak","year":"2018","unstructured":"Nayak, S., Chakraverty, S.: Interval finite element method with MATLAB. Academic Press, Cambridge, Massachusetts (2018)"},{"key":"34_CR17","unstructured":"Leshko, R.: Wolfram mathematica code for computing the electron energy in a quantum dot with a smooth potential using the phase method. https:\/\/github.com\/leshkoroman\/phase_method. Accessed 14 May 2024"}],"container-title":["Lecture Notes on Data Engineering and Communications Technologies","Information Technology for Education, Science, and Technics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-71801-4_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,2]],"date-time":"2024-10-02T08:06:53Z","timestamp":1727856413000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-71801-4_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031718007","9783031718014"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-71801-4_34","relation":{},"ISSN":["2367-4512","2367-4520"],"issn-type":[{"type":"print","value":"2367-4512"},{"type":"electronic","value":"2367-4520"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"2 October 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ITEST","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Scientific-Practical Conference \"Information Technology for Education, Science and Technics\"","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Cherkasy","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ukraine","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 May 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"24 May 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"itest2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/itest.chdtu.edu.ua\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}