Dynamics of particles with anisotropic mass depending on time and position

Representations of solutions of equations describing the diffusion and quantum dynamics of particles in a Riemannian manifold are discussed under the assumption that the mass of particles is anisotropic and depends on both time and position. These equations are evolution differential equations with secondorder elliptic operators, in which the coefficients depend on time and position. The Riemannian manifold is assumed to be isometrically embedded into Euclidean space, and the solutions are represented by Feynman formulas; the representation of a solution depends on the embedding.


Published in:
Doklady Mathematics, 92, 3, 723-726
Year:
2015
Publisher:
New York, Springer Verlag
ISSN:
1064-5624
Laboratories:




 Record created 2016-02-16, last modified 2018-09-13


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