scholarly journals On the Quantum Mechanics-like Description of the Theories of the Brownian Motion and Quantum Statistical Mechanics

1956 ◽  
Vol 16 (2) ◽  
pp. 71-94 ◽  
Author(s):  
Nobuhiko Saitô ◽  
Mikio Namiki
Keyword(s):  
Quantum Mechanics ◽  
Brownian Motion ◽  
Statistical Mechanics ◽  
Quantum Statistical Mechanics ◽  
Quantum Statistical

QUANTIZATION OF CLASSICAL CONSTANTS OF MOTION AND EQUILIBRIUM DISTRIBUTIONS IN QUANTUM MECHANICS

1996 ◽  
Vol 10 (15) ◽  
pp. 723-730
Author(s):  
Z. HABA
Keyword(s):  
Quantum Mechanics ◽  
Statistical Mechanics ◽  
Quantum Statistical Mechanics ◽  
Quantum Systems ◽  
Quantization Procedure ◽  
Constant Of Motion ◽  
Additional Constant ◽  
Constants Of Motion ◽  
Equilibrium Distributions ◽  
Quantum Statistical

We distinguish a class of quantum systems (trigonometric and hyperbolic potentials) with an additional constant of motion unrelated to any symmetry. The various quantum constants of motion result from non-uniqueness of the quantization procedure. We discuss equilibrium distributions in quantum statistical mechanics determined by the constants of motion.

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