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Coherent states: Theory and some applications
Abstract
In this review, a general algorithm for constructing coherent states of dynamical groups for a given quantum physical system is presented. The result is that, for a given dynamical group, the coherent states are isomorphic to a coset space of group geometrical space. Thus the topological and algebraic structure of the coherent states as well as the associated dynamical system can be extensively discussed. In addition, a quantum-mechanical phase-space representation is constructed via the coherent-state theory. Several useful methods for employing the coherent states to study the physical phenomena of quantum-dynamic systems, such as the path integral, variational principle, classical limit, and thermodynamic limit of quantum mechanics, are described.
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Citations
Cites
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Quantum mechanics as a statistical theory
Moyal, J. E. (1949) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100000487 · Cited by 3,116
Cited by
General Non-Markovian Dynamics of Open Quantum Systems
Zhang, W.-M., Lo, P.-Y., Xiong, H.-N., Tu, M. W.-Y., & Nori, F. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.170402 · Cited by 349
Self-citationOperator ordering in quantum optics theory and the development of Dirac s symbolic method
Fan, H.-Y. (2003) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/5/4/201 · Cited by 326
Quantum systems with finite Hilbert space
Vourdas, A. (2004) · Reports on Progress in Physics · doi:10.1088/0034-4885/67/3/r03 · Cited by 321
Nonadiabatic Alignment by Intense Pulses. Concepts, Theory, and Directions
Seideman, T., & Hamilton, E. (2005) · Advances In Atomic, Molecular, and Optical Physics · doi:10.1016/s1049-250x(05)52006-8 · Cited by 321
EFFECTIVE EQUATIONS OF MOTION FOR QUANTUM SYSTEMS
BOJOWALD, M., & SKIRZEWSKI, A. (2006) · Reviews in Mathematical Physics · doi:10.1142/s0129055x06002772 · Cited by 185
Metadata
- Authors
- Zhang, W.-M., Feng, D. H., & Gilmore, R.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1990-10-01
- Volume
- 62
- Issue
- 4
- Pages
- 867-927
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W1994090126
- Cited by
- 1,521
- References
- 2
- FWCI
- 13.04
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zhang, W.-M., Feng, D. H., & Gilmore, R. (1990). Coherent states: Theory and some applications. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.62.867
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
