## Peculiarities of energy diffusion in the well-known model of a quantum rotator excited by an external periodic s-like field are investigated in the Wigner representation. It is shown that in a semi-classical region of parameters quantum diffusion can be approximately described by means of clas
Quantum dynamics in Wigner representation
โ Scribed by V.S. Filinov; Yu.E. Lozovik; A.V. Filinov; I.E. Zacharov
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 667 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0167-7322
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โฆ Synopsis
A new numerical approach for the treatment of quantum dynamics and for the computation of average values of quantum operators and of time correlation functions in the Wigner representation of quantum statistical mechanics has been developed. For electrons in a disordered system of scatterers, new numerical results have been obtained for various average values of quantum operators, including the position and momentum dispersions, the average energy, the energy distribution function, and frequency-dependent tensors, such as the electron conductivity and the permittivity, which follow from the quantum Kubo formula.
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Numerical stochastic integration is a powerful tool for the investigation of quantum dynamics in interacting many-body systems. As with all numerical integration of differential equations, the initial conditions of the system being investigated must be specified. With application to quantum optics i
The new numerical approach for consideration of quantum dynamics and calculations of the average values of quantum operators and time correlation functions in the Wigner representation of quantum statistical mechanics has been developed. The time correlation functions have been presented in the form