216688
20180913063605.0
1064-5624
10.1134/S1064562415060241
doi
000368186800021
ISI
ARTICLE
Dynamics of particles with anisotropic mass depending on time and position
New York
2015
Springer Verlag
2015
4
Journal Articles
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.
Ratiu, T. S.
Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
118378
243113
Smolyanov, O. G.
723-726
3
Doklady Mathematics
92
CAG2
252609
oai:infoscience.tind.io:216688
article
180122
EPFL-ARTICLE-216688
EPFL
PUBLISHED
REVIEWED
ARTICLE