Path Integrals in Quantum and Statistical Physics

1978 ◽  
pp. 85-162
Author(s):  
G. J. Papadopoulos
Keyword(s):  
Statistical Physics ◽  
Path Integrals

scholarly journals A PATH INTEGRAL FOR CLASSICAL DYNAMICS, ENTANGLEMENT, AND JAYNES-CUMMINGS MODEL AT THE QUANTUM-CLASSICAL DIVIDE

2011 ◽  
Vol 09 (supp01) ◽  
pp. 203-224 ◽  
Author(s):  
HANS-THOMAS ELZE ◽  
GIOVANNI GAMBAROTTA ◽  
FABIO VALLONE
Keyword(s):  
Time Evolution ◽  
Path Integral ◽  
Statistical Physics ◽  
Hamiltonian Dynamics ◽  
Path Integrals ◽  
Classical Mechanics ◽  
Quantum Evolution ◽  
Classical Dynamics ◽  
Von Neumann ◽  
Feynman Path Integrals

The Liouville equation differs from the von Neumann equation "only" by a characteristic superoperator. We demonstrate this for Hamiltonian dynamics, in general, and for the Jaynes-Cummings model, in particular. Employing superspace (instead of Hilbert space), we describe time evolution of density matrices in terms of path integrals, which are formally identical for quantum and classical mechanics. They only differ by the interaction contributing to the action. This allows us to import tools developed for Feynman path integrals, in order to deal with superoperators instead of quantum mechanical commutators in real time evolution. Perturbation theory is derived. Besides applications in classical statistical physics, the "classical path integral" and the parallel study of classical and quantum evolution indicate new aspects of (dynamically assisted) entanglement (generation). Our findings suggest to distinguish intra- from inter-space entanglement.

Essential Statistical Physics

2020 ◽  
Author(s):  
Malcolm P. Kennett
Keyword(s):  
Statistical Physics

Methods of Statistical Physics

2002 ◽  
Author(s):  
Tomoyasu Tanaka
Keyword(s):  
Statistical Physics

Statistical physics of liquid-crystalline polymers

1988 ◽  
Vol 156 (11) ◽  
pp. 427 ◽  
Author(s):  
A.N. Semenov ◽  
Alexei R. Khokhlov
Keyword(s):  
Statistical Physics ◽  
Liquid Crystalline ◽  
Liquid Crystalline Polymers ◽  
Crystalline Polymers
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