Applications of Path Integrals to Problems in Dissipation
Feynman’s path-integral method offers a unique approach to problems involving the transport of electrons in dissipative media in electric and magnetic fields. This is because actual, physical dissipative systems can be approximated by similar dissipative systems which can be solved exactly using path integrals. The difference between the exact and approximate systems can then be treated as a perturbation. Several examples are considered including both a.c.-linear and d.c.-nonlinear response as well as the problem of electron acceleration in sub-threshold fields. The latter problem appears to require a more detailed understanding of the scattering in the presence of the field than do transport problems.
KeywordsBoltzmann Equation Path Integral Dissipative System Cross Term General Expansion
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