Coordinate uncertainty principle in a generalized phase space

2014 ◽  
Vol 90 (2) ◽  
pp. 628-630 ◽  
Author(s):  
B. I. Sadovnikov ◽  
E. E. Perepelkin ◽  
N. G. Inozemtseva
Keyword(s):  
Phase Space ◽  
Uncertainty Principle ◽  
Generalized Phase Space

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.

Phase space quantization and the uncertainty principle

2003 ◽  
Vol 317 (5-6) ◽  
pp. 365-369 ◽  
Author(s):  
Maurice A de Gosson
Keyword(s):  
Phase Space ◽  
Uncertainty Principle

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

Generalized phase space representations in classical optics

2011 ◽  
Author(s):  
Miguel A. Alonso ◽  
Jonathan C. Petruccelli ◽  
Seongkeun Cho
Keyword(s):  
Phase Space ◽  
Generalized Phase Space
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