Title :
Quantum dynamics on small stochastic background
Author_Institution :
Dept. of Math.& Computational Phys., St. Petersburg Univ., Russia
Abstract :
The dynamics of a quantum particle performing Brownian motion at large (in comparison with diffusion) drift field is investigated. It is shown that time scaled dynamics with a spectral representation is governed by upper block triangular matrices with elements depending on the Hamiltonian at points of local minima of the drift field
Keywords :
Brownian motion; graph theory; matrix algebra; partial differential equations; quantum statistical mechanics; stochastic processes; Brownian motion; drift field; graph theory; quantum dynamics Hamiltonian; quantum particle dynamics; singular matrices; spectral representation; stochastic background; stochastic differential equation; time scaled dynamics; upper block triangular matrices; Algebra; Differential equations; Frequency; Laplace equations; Physics computing; Quantum computing; Stochastic processes; Stochastic resonance; Wave functions; White noise;
Conference_Titel :
Day on Diffraction 2001. Proceedings. International Seminar
Conference_Location :
St.Petersburg
Print_ISBN :
5-7997-0366-9
DOI :
10.1109/DD.2001.988457
