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research article
Dynamics of particles with anisotropic mass depending on time and position
2015
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.
Type
research article
Web of Science ID
WOS:000368186800021
Authors
Publication date
2015
Publisher
Published in
Volume
92
Issue
3
Start page
723
End page
726
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 16, 2016
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