Ratiu, T. S.
Smolyanov, O. G.
Dynamics of particles with anisotropic mass depending on time and position
Doklady Mathematics
1064-5624
10.1134/S1064562415060241
92
3
723-726
4
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.
Springer Verlag
New York
2015