{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:52:28Z","timestamp":1773244348105,"version":"3.50.1"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,8]]},"abstract":"<jats:p> Based on a quantum dynamical invariant of motion, I, we study the classical limit of a semiclassical Hamiltonian composed by a full quantum harmonic oscillator plus a classical particle plus a \"semiclassical\" coupling quartic term. The motion-invariant is closely related to the uncertainty principle. The classical limit (CL) is determined by the relationship between I and the total energy of the system, defining an adimensional invariant E<jats:sub>r<\/jats:sub>. We find that the CL coincides with the results of a purely classical treatment. Both invariants allow to follow the transit between quantum nonchaotic to the classical chaotic regime. Particularly, with E<jats:sub>r<\/jats:sub> we define the threshold above which chaos appears, and the interval during which both regimes co-exist. <\/jats:p>","DOI":"10.1142\/s0218127403007977","type":"journal-article","created":{"date-parts":[[2003,9,25]],"date-time":"2003-09-25T03:19:09Z","timestamp":1064459949000},"page":"2315-2325","source":"Crossref","is-referenced-by-count":18,"title":["Classical Limit and Chaotic Regime in a Semi-Quantum Hamiltonian"],"prefix":"10.1142","volume":"13","author":[{"given":"A. M.","family":"Kowalski","sequence":"first","affiliation":[{"name":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"},{"name":"Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina"},{"name":"Buenos Aires Scientific Research Commission  (CIC), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. T.","family":"Martin","sequence":"additional","affiliation":[{"name":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"},{"name":"Argentine National Research Council  (CONICET), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Plastino","sequence":"additional","affiliation":[{"name":"National University La Plata, Casilla de Correo 727, (1900) La Plata, Argentina"},{"name":"Argentine National Research Council  (CONICET), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. N.","family":"Proto","sequence":"additional","affiliation":[{"name":"Laboratorio de Sistemas Complejos, Dpto. de Computaci\u00f3n, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Argentina"},{"name":"Buenos Aires Scientific Research Commission  (CIC), Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.35.2304"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.4852"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.57.932"},{"key":"rf4","volume-title":"An Introduction to Wavelets","author":"Chui C. 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E"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.6370"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90896-6"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.52.165"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(96)00379-2"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.58.2596"},{"key":"rf15","unstructured":"E.\u00a0Merzbacher, Quantum Mechanics (Wiley, NY, 1963)\u00a0p. 155."},{"key":"rf16","unstructured":"A.\u00a0Messiah, Quantum Mechanics\u00a0I (North Holland, Amsterdam, 1961)\u00a0pp. 214\u2013215."},{"key":"rf17","volume-title":"Wavelets. Algorithms and Applications","author":"Meyer Y.","year":"1993"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.5181"},{"key":"rf19","first-page":"026201-1","volume":"64","author":"Van Vessen M.","journal-title":"Phys. Rev. E"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.62.R4513"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1063\/1.881293"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007977","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:10:33Z","timestamp":1565190633000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007977"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8]]},"references-count":21,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,8]]}},"alternative-id":["10.1142\/S0218127403007977"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007977","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,8]]}}}