Quantum nonintegrability in finite systems

Wei Min Zhang; Da Hsuan Feng

doi:10.1016/0370-1573(94)00081-D

Quantum nonintegrability in finite systems

Wei Min Zhang, Da Hsuan Feng

Department of Physics

Research output: Contribution to journal › Review article › peer-review

64 Citations (Scopus)

Abstract

Quantum nonintegrability in finite systems, as viewed from geometry and dynamical symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can be constructed from the mathematical structures of quantum mechanics. It is shown that there is a natural geometrical description for a quantum system, which provides a suitable stage to investigate the time-honored question of quantum-classical correspondence as well as the underlying problem of nonintegrability in quantum mechanics. The implication of dynamical symmetry breaking to quantum nonintegrability and chaos is explored.

Original language	English
Pages (from-to)	1-100
Number of pages	100
Journal	Physics Reports
Volume	252
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-1573(94)00081-D
Publication status	Published - 1995 Feb

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/0370-1573(94)00081-D

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title = "Quantum nonintegrability in finite systems",

abstract = "Quantum nonintegrability in finite systems, as viewed from geometry and dynamical symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can be constructed from the mathematical structures of quantum mechanics. It is shown that there is a natural geometrical description for a quantum system, which provides a suitable stage to investigate the time-honored question of quantum-classical correspondence as well as the underlying problem of nonintegrability in quantum mechanics. The implication of dynamical symmetry breaking to quantum nonintegrability and chaos is explored.",

author = "Zhang, {Wei Min} and Feng, {Da Hsuan}",

note = "Funding Information: National Science Foundation of the United States (under Grant No. PHY-9102922, PHY-8858250 and PHY-9203145 (WMZ) and PHY-9004582 (DHF). Oak Ridge National Laboratory is managed by Martin Marietta Energy Systems,I nc. for the United StatesD epartmento f Energy under Contract No. DE-AC05-840R21400 (DHF) .",

year = "1995",

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doi = "10.1016/0370-1573(94)00081-D",

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T1 - Quantum nonintegrability in finite systems

AU - Zhang, Wei Min

AU - Feng, Da Hsuan

N1 - Funding Information: National Science Foundation of the United States (under Grant No. PHY-9102922, PHY-8858250 and PHY-9203145 (WMZ) and PHY-9004582 (DHF). Oak Ridge National Laboratory is managed by Martin Marietta Energy Systems,I nc. for the United StatesD epartmento f Energy under Contract No. DE-AC05-840R21400 (DHF) .

PY - 1995/2

Y1 - 1995/2

N2 - Quantum nonintegrability in finite systems, as viewed from geometry and dynamical symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can be constructed from the mathematical structures of quantum mechanics. It is shown that there is a natural geometrical description for a quantum system, which provides a suitable stage to investigate the time-honored question of quantum-classical correspondence as well as the underlying problem of nonintegrability in quantum mechanics. The implication of dynamical symmetry breaking to quantum nonintegrability and chaos is explored.

AB - Quantum nonintegrability in finite systems, as viewed from geometry and dynamical symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can be constructed from the mathematical structures of quantum mechanics. It is shown that there is a natural geometrical description for a quantum system, which provides a suitable stage to investigate the time-honored question of quantum-classical correspondence as well as the underlying problem of nonintegrability in quantum mechanics. The implication of dynamical symmetry breaking to quantum nonintegrability and chaos is explored.

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DO - 10.1016/0370-1573(94)00081-D

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VL - 252

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EP - 100

JO - Physics Reports

JF - Physics Reports

SN - 0370-1573

IS - 1-2

ER -

Quantum nonintegrability in finite systems

Abstract

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