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Preserving Coherence of Coherent State Studied via Weyl-Wigner Correspondence

范洪义, 吕翠红, 夏云杰

理论物理通讯：英文版Jan 1, 20100 citations

Weyl Quantization and Coherent States

Monique Combescure, Didier Robert

Theoretical and mathematical physicsJan 1, 20120 citations

Coherent state path integrals in the Weyl representation

Luana Carolina Santos, Marcus A. M. de Aguiar

We construct a representation of the coherent state path integral using the Weyl symbol of the Hamiltonian operator. This representation is very different from the usual path integral forms suggested by Klauder and Skagerstam (1985 Coherent States: Applications in Physics and Mathematical Physics (Singapore: World Scientific)), which involve the normal or the antinormal ordering of the Hamiltonian. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. We show that the semiclassical limit of the coherent state propagator in the Weyl representation involves classical trajectories that are independent of the width of coherent states. This propagator is also free from the phase corrections found in Baranger et al ( 2001 J. Phys. A: Math. Gen. 34 7227 ) for the two Klauder forms and provides an explicit connection between the Wigner and the Husimi representations of the evolution operator.We construct a representation of the coherent state path integral using the Weyl symbol of the Hamiltonian operator. This representation is very different from the usual path integral forms suggested by Klauder and Skagerstam (1985 Coherent States: Applications in Physics and Mathematical Physics (Singapore: World Scientific)), which involve the normal or the antinormal ordering of the Hamiltonian. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. We show that the semiclassical limit of the coherent state propagator in the Weyl representation involves classical trajectories that are independent of the width of coherent states. This propagator is also free from the phase corrections found in Baranger et al ( 2001 J. Phys. A: Math. Gen. 34 7227 ) for the two Klauder forms and provides an explicit connection between the Wigner and the Husimi representations of the evolution operator.

arXiv:quant-ph/0607136Journal of Physics A Mathematical and GeneralOct 10, 200616 citations

COHERENT STATE REPRESENTATION AND QUANTUM FIELD THEORY.

Fritz Rohrlich

Jan 1, 19702 citations

Non uniqueness and equivalence of the q-deformed Weyl-Heisenberg algebra representations

Noureddine Boucerredj, N. Mebarki

The non uniqueness and equivalence of the q-deformed Weyl-Heinsenberg algebra are studied in the weak deformation parameter approximation. It turns out that the Macfarlane representation is not unique leading to inequivalant solutions of the q-deformed coherent states. Moreover, it is shown that the Krolikowski representation gives also a completely different result for the same algebra.

AIP conference proceedingsJan 1, 20120 citations

p-mechanics as a physical theory: an introduction

Vladimir V Kisil

This paper provides an introduction to p -mechanics, which is a consistent physical theory suitable for a simultaneous description of classical and quantum mechanics. p -mechanics naturally provides a common ground for several different approaches to quantization (geometric, Weyl, coherent states, Berezin, deformation, Moyal, etc) and has a potential for expansions into field and string theories. The backbone of p -mechanics is solely the representation theory of the Heisenberg group.

arXiv:quant-ph/0212101Journal of Physics A Mathematical and GeneralDec 9, 200342 citations

Are the Weyl and coherent state descriptions physically equivalent?

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