Wigner phase‐space description of a Morse oscillator

1982 ◽  
Vol 77 (9) ◽  
pp. 4604-4610 ◽  
Author(s):  
Hai‐Woong Lee ◽  
Marlan O. Scully
Keyword(s):  
Phase Space ◽  
Morse Oscillator ◽  
Space Description

scholarly journals Emergent phase space description of unitary matrix model

2017 ◽  
Vol 2017 (11) ◽  
Author(s):  
Arghya Chattopadhyay ◽  
Parikshit Dutta ◽  
Suvankar Dutta
Keyword(s):  
Phase Space ◽  
Matrix Model ◽  
Unitary Matrix ◽  
Space Description

scholarly journals Dirac’s Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 180 ◽  
Author(s):  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Canonical Quantization ◽  
Extended Phase Space ◽  
Two Dimensional ◽  
Class Constraint ◽  
Extended Phase ◽  
Damped Harmonic Oscillator ◽  
Points Of View ◽  
Space Description

The system of a two-dimensional damped harmonic oscillator is revisited in the extended phase space. It is an old problem that has already been addressed by many authors that we present here with some fresh points of view and carry on a whole discussion. We show that the system is singular. The classical Hamiltonian is proportional to the first-class constraint. We pursue with the Dirac’s canonical quantization procedure by fixing the gauge and provide a reduced phase space description of the system. As a result, the quantum system is simply modeled by the original quantum Hamiltonian.

scholarly journals Coherent representation of fields and deformation quantization

2020 ◽  
Vol 17 (11) ◽  
pp. 2050166 ◽  
Author(s):  
Jasel Berra-Montiel ◽  
Alberto Molgado
Keyword(s):  
Phase Space ◽  
Deformation Quantization ◽  
Probability Distributions ◽  
Series Representation ◽  
Quantum Field ◽  
Husimi Distribution ◽  
Normal Star ◽  
Holomorphic Representation ◽  
Functional Distribution ◽  
Space Description

Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a scalar field within the deformation quantization program. Notably, the symbol of a symmetric ordered operator in terms of holomorphic variables may be straightforwardly obtained by the quantum field analogue of the Husimi distribution associated with a normal ordered operator. This relation also allows to establish a [Formula: see text]-equivalence between the Moyal and the normal star-products. In addition, by writing the density operator in terms of coherent states we are able to directly introduce a series representation of the Wigner functional distribution, which may be convenient in order to calculate probability distributions of quantum field observables without performing formal phase space integrals at all.

The Wigner phase-space description of collision processes

1983 ◽  
Vol 13 (1) ◽  
pp. 61-72 ◽  
Author(s):  
Hai-Woong Lee ◽  
Marlan O. Scully
Keyword(s):  
Phase Space ◽  
Collision Processes ◽  
Space Description

scholarly journals Phase space description of nonlocal teleparallel gravity

2018 ◽  
Vol 78 (9) ◽  
Author(s):  
Kazuharu Bamba ◽  
Davood Momeni ◽  
Mudhahir Al Ajmi
Keyword(s):  
Phase Space ◽  
Teleparallel Gravity ◽  
Space Description
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