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Quantum chaos for the vibrating rectangular billiard

Abstract:

We consider oscillations of the length and width in rectangular quantum billiards, a two "degree-of-vibration" configuration. We consider several superpositon states and discuss the effects of symmetry (in terms of the relative values of the quantum numbers of the superposed states) on the resulting evolution equations and derive necessary conditions for quantum chaos for both separable and inseparable potentials. We extend this analysis to n-dimensional rectangular parallelepipeds with two d...

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Publication status:
Published

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Publisher copy:
10.1142/S0218127401003474

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume:
11
Issue:
9
Pages:
2317-2337
Publication date:
2001-09-01
DOI:
EISSN:
1793-6551
ISSN:
0218-1274
Source identifiers:
191379
Language:
English
Pubs id:
pubs:191379
UUID:
uuid:509b57f5-96d1-4786-9b3c-aff161ecc76d
Local pid:
pubs:191379
Deposit date:
2012-12-19

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