Secondly, we show that a gaussian shape-preserving distribution in phase-space, that corresponds to a statistical mixture of gaussons, gives a possible description of the irreversible approach to equilibrium of the oscillator coupled to the heat reservoir. This distribution is shown to satisfy a ...
The essential novelty inthat theory comprises the use of complex classical coordinates and momenta. We first show how for the nondissipative harmonic oscillator driven by an external classical force, the theory leads to the correct well-known quantum analogue of the classical Liouville equation. We ...
We consider scale transformations (q, p) → (λq, λp) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop...
It is shown that at classical level the Darboux transformation may be treated as a transformation of Khler potential, which leads to a distortion of the initial phase space.doi:10.1063/1.532364BorisTomskF.TomskSamsonovTomskAmerican Institute of Physics...
q-Deformed harmonic oscillatorExternal magnetic fieldNoncommutative phase spaceIn the paper, we consider the two-dimensional oscillator within the framework of the noncommutative q-deformed Dirac oscillator. We discuss the eigenvalues of q-deformed Dirac oscillator in (1+2)-dimensions in the presence ...
GANTSOG Ts,TANA S′ R.Phase properties of self -squeezed states generated by the anharmonic oscillator.Journal of Modern Optics. 1991Cantsog T,Tanas R.Phase properties of self -squeezed states generated by the anharmonic oscillator. Journal of Modern Optics . 1991...
The phase space has the conic structure of an orbifold . That structure is closely related to a Z2 gauge symmetry which corresponds to the center of a 2-fold covering of SO(1,2), the symplectic group . The basic variables on the phase space are the functions h0 = I , h1 = I cos...
Before proceeding to more complex examples, consider the case of an overdamped simple harmonic oscillator. In this case the simple two dimensional phase space for the system is marked by constant convergence everywhere in the space toward the origin. The rate of convergence is simply the dissipation...
Problems concerning with application of quantum rules on classical phenomena have been widely studied, for which lifted up the idea about quantization and uncertainty principle. Energy quantization on classical example of simple harmonic oscillator has been reviewed in this paper....
Harmonic Analysis in Phase Space 2025 pdf epub mobi 电子书 图书描述 This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas ...