Lecture 1: Wigner Functions. Coherent States. Gabor Transform. Semiclassical Correlation Functions

2016 ◽  
pp. 1-25
Author(s):  
Gianfausto Dell’Antonio
Keyword(s):  
Correlation Functions ◽  
Coherent States ◽  
Gabor Transform ◽  
Wigner Functions

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR

2009 ◽  
Vol 24 (17) ◽  
pp. 1343-1353 ◽  
Author(s):  
ATREYEE BISWAS ◽  
BARNANA ROY
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Closed Form ◽  
Effective Mass ◽  
Coherent States ◽  
Mass Function ◽  
Wigner Functions

We construct coherent state of the effective mass harmonic oscillator and examine some of its properties. In particular closed form expressions of coherent states for different choices of the mass function are obtained and it is shown that such states are not in general x - p uncertainty states. We also compute the associated Wigner functions.

scholarly journals Wigner functions for the photon-added and photon-depleted even and odd coherent states

2005 ◽  
Vol 54 (6) ◽  
pp. 2704
Author(s):  
Yang Qing-Yi ◽  
Sun Jing-Wen ◽  
Wei Lian-Fu ◽  
Ding Liang-En
Keyword(s):  
Coherent States ◽  
Wigner Functions

Wigner functions and tomograms of the photon-depleted even and odd coherent states

2008 ◽  
Vol 17 (4) ◽  
pp. 1254-1262 ◽  
Author(s):  
Wang Ji-Suo ◽  
Meng Xiang-Guo
Keyword(s):  
Coherent States ◽  
Wigner Functions

Wigner Functions and Tomogram Functions of Even and Odd Pair Coherent States

2008 ◽  
Vol 28 (3) ◽  
pp. 549-555
Author(s):  
孟祥国 Meng Xiangguo ◽  
王继锁 Wang Jisuo ◽  
梁宝龙 Liang Baolong
Keyword(s):  
Coherent States ◽  
Wigner Functions

scholarly journals Wigner functions of multiple-photon excited coherent states

2009 ◽  
Vol 58 (12) ◽  
pp. 8281
Author(s):  
Lan Hai-Jiang ◽  
Pang Hua-Feng ◽  
Wei Lian-Fu
Keyword(s):  
Coherent States ◽  
Wigner Functions
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