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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 2, Pages 249–268
DOI: https://doi.org/10.4213/tmf2084 (Mi tmf2084) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Classical and quantum integrability of Hamiltonians without scattering states

A. Enciso, D. Peralta-Salas

Universidad Complutense, Departamento de Fisica Teorica II
Full-text PDF (462 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf2084
Abstract: We establish that every quantum Hamiltonian without scattering states has a complete family of conserved quantities independently of the dimension of the system. This result leads to a comparison of the general properties of classical and quantum integrable systems. We discuss several relevant examples and an application to the statistical distribution of energies. As a spin-off, we obtain additional support for the Berry–Tabor conjecture without taking the semiclassical limit into account.
Keywords: quantum mechanics, integrability, spectral theory, Berry–Tabor conjecture.
Received: 28.09.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 2, Pages 1086–1099
DOI: https://doi.org/10.1007/s11232-006-0103-8
Bibliographic databases:
Language: Russian
Citation: A. Enciso, D. Peralta-Salas, “Classical and quantum integrability of Hamiltonians without scattering states”, TMF, 148:2 (2006), 249–268; Theoret. and Math. Phys., 148:2 (2006), 1086–1099
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v148/i2/p249
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:67
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