Generalized Phase-Space Representatives of Spin-J Operators in Terms of Bloch Coherent States

1995 ◽  
Vol 242 (1) ◽  
pp. 188-231 ◽  
Author(s):  
V.R. Vieira ◽  
P.D. Sacramento
Keyword(s):  
Phase Space ◽  
Coherent States ◽  
Generalized Phase Space

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.

TOPOLOGICAL ASPECTS OF THE SPECIFIC HEAT

2009 ◽  
Vol 23 (20n21) ◽  
pp. 4170-4185 ◽  
Author(s):  
C. M. SARRIS ◽  
A. N. PROTO
Keyword(s):  
Phase Space ◽  
Specific Heat ◽  
Quantum System ◽  
Uncertainty Principle ◽  
Positive Definite ◽  
Metric Tensor ◽  
Quantum Nature ◽  
Generalized Phase Space

We describe how the specific heat of a quantum system is related to a positive definite metric defined on the generalized phase space in which the dynamics and thermodynamics of the system take place. This relationship is given through the components of a second-rank covariant metric tensor, enhancing a topological nature of the specific heat. We also present two examples where it can be seen how the uncertainty principle imposes strong constraints on the values achieved by the specific heat showing its inherent quantum nature.

scholarly journals Quantum tetrachotomous states: Superposition of four coherent states on a line in phase space

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Namrata Shukla ◽  
Naeem Akhtar ◽  
Barry C. Sanders
Keyword(s):  
Phase Space ◽  
Coherent States

Reply to  Comment on   Semiclassical approximations in phase space with coherent states   

2002 ◽  
Vol 35 (44) ◽  
pp. 9493-9497 ◽  
Author(s):  
M Baranger ◽  
M A M de Aguiar ◽  
F Keck ◽  
H J Korsch ◽  
B Schellhaa 
Keyword(s):  
Phase Space ◽  
Coherent States ◽  
Semiclassical Approximations

Generalized phase space and conservative systems

2013 ◽  
Vol 88 (1) ◽  
pp. 457-459 ◽  
Author(s):  
B. I. Sadovnikov ◽  
N. G. Inozemtseva ◽  
E. E. Perepelkin
Keyword(s):  
Phase Space ◽  
Conservative Systems ◽  
Generalized Phase Space

An Extra Phase for Two-Mode Coherent States Displaced in Noncommutative Phase Space

2012 ◽  
Vol 29 (4) ◽  
pp. 041102
Author(s):  
Long Yan ◽  
Xun-Li Feng ◽  
Zhi-Ming Zhang ◽  
Song-Hao Liu
Keyword(s):  
Phase Space ◽  
Coherent States ◽  
Noncommutative Phase Space

COHERENT STATES WITHOUT GROUPS: QUANTIZATION ON NONHOMOGENEOUS MANIFOLDS

1993 ◽  
Vol 08 (18) ◽  
pp. 1735-1738 ◽  
Author(s):  
JOHN R. KLAUDER
Keyword(s):  
Phase Space ◽  
Coherent State ◽  
Wide Class ◽  
Coherent States ◽  
Path Integrals ◽  
Killing Vector ◽  
Single Variable ◽  
Holomorphic Representation ◽  
Representation Spaces ◽  
State Path

A wide class of single-variable holomorphic representation spaces are constructed that are associated with very general sets of coherent states defined without the use of transitively acting groups. These representations and states are used to define coherent-state path integrals involving phase-space manifolds having one Killing vector but a quite general curvature otherwise.

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