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Quantum dynamics in Wigner representation

โœ 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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โœฆ 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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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