V. L. Chernyshev, V. E. Nazaikinskii, A. V. Tsvetkova
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引用次数: 0
Abstract
We consider linear equations with shifts of the arguments on the rectangular lattice with small step \(h\) in \(\mathbb{R}^n\) and construct a version of the canonical operator providing semiclassical asymptotics for such equations. Examples include the Feynman checkers model arising in quantum theory and a problem on the wave packet propagation on a homogeneous tree.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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