doi:10.1134/S1064562415060241
ISI:000368186800021
Ratiu, T. S.
Smolyanov, O. G.
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.
2016-02-16T09:22:40Z
http://infoscience.epfl.ch/record/216688
http://infoscience.epfl.ch/record/216688