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Quantum chaos for the radially vibrating spherical billiard.

Abstract:

The spherical quantum billiard with a time-varying radius, a(t), is considered. It is proved that only superposition states with components of common rotational symmetry give rise to chaos. Examples of both nonchaotic and chaotic states are described. In both cases, a Hamiltonian is derived in which a and P are canonical coordinate and momentum, respectively. For the chaotic case, working in Bloch variables (x,y,z), equations describing the motion are derived. A potential function is introduc...

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Publication status:
Published

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Publisher copy:
10.1063/1.166503

Authors


Liboff, RL More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Chaos (Woodbury, N.Y.)
Volume:
10
Issue:
2
Pages:
366-370
Publication date:
2000-06-05
DOI:
EISSN:
1089-7682
ISSN:
1054-1500
URN:
uuid:4171871d-1b50-4a6d-adf8-454bf47b46ba
Source identifiers:
191366
Local pid:
pubs:191366
Language:
English

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