Classical invariants and the quantization of chaotic systems
Due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller’s theory of chaotic systems. Therefore, it would be desirable that other classical invariants, not suffering from the same problem, could be used in alternative semiclassical quantization schemes...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2004 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/75111 |
| Acesso em linha: | http://hdl.handle.net/11336/75111 |
| Access Level: | Acceso aberto |
| Palavra-chave: | SEMICLASSICAL MECHANICS QUANTUM CHAOS https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Resumo: | Due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller’s theory of chaotic systems. Therefore, it would be desirable that other classical invariants, not suffering from the same problem, could be used in alternative semiclassical quantization schemes. In this Rapid Communication, we demonstrate how a suitable dynamical analysis of chaotic quantum spectra unveils the role played, in this respect, by classical invariant areas related to the stable and unstable manifolds of short periodic orbits. © 2004 The American Physical Society. |
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