L-S band module for phase/amplitude processing

Author(s):  
A.B. Kozyrev ◽  
V.N. Osadchy ◽  
D.M. Kosmin
Keyword(s):  
Author(s):  
A.B. Kozyrev ◽  
V.N. Osadchy ◽  
D.M. Kosmin
Keyword(s):  

1978 ◽  
Author(s):  
T. Collins
Keyword(s):  

Author(s):  
Peter Mann

This chapter focuses on Liouville’s theorem and classical statistical mechanics, deriving the classical propagator. The terms ‘phase space volume element’ and ‘Liouville operator’ are defined and an n-particle phase space probability density function is constructed to derive the Liouville equation. This is deconstructed into the BBGKY hierarchy, and radial distribution functions are used to develop n-body correlation functions. Koopman–von Neumann theory is investigated as a classical wavefunction approach. The chapter develops an operatorial mechanics based on classical Hilbert space, and discusses the de Broglie–Bohm formulation of quantum mechanics. Partition functions, ensemble averages and the virial theorem of Clausius are defined and Poincaré’s recurrence theorem, the Gibbs H-theorem and the Gibbs paradox are discussed. The chapter also discusses commuting observables, phase–amplitude decoupling, microcanonical ensembles, canonical ensembles, grand canonical ensembles, the Boltzmann factor, Mayer–Montroll cluster expansion and the equipartition theorem and investigates symplectic integrators, focusing on molecular dynamics.


NeuroImage ◽  
2021 ◽  
Vol 227 ◽  
pp. 117648
Author(s):  
Janet Giehl ◽  
Nima Noury ◽  
Markus Siegel

Author(s):  
Hiroaki Hashimoto ◽  
Hui Ming Khoo ◽  
Takufumi Yanagisawa ◽  
Naoki Tani ◽  
Satoru Oshino ◽  
...  
Keyword(s):  

Author(s):  
Tiziana Cattai ◽  
Stefania Colonnese ◽  
Marie-Constance Corsi ◽  
Danielle S. Bassett ◽  
Gaetano Scarano ◽  
...  

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