格方程与半经典渐近

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-06-18 DOI:10.1134/S1061920823020024

V. L. Chernyshev, V. E. Nazaikinskii, A. V. Tsvetkova

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引用次数: 0

摘要

我们考虑了在\(\mathbb{R}^n\)中具有小步长\(h\)的矩形格上具有参数位移的线性方程，并构造了一个正则算子的版本，提供了此类方程的半经典渐近性。例子包括量子理论中出现的费曼跳棋模型和齐次树上的波包传播问题。

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Lattice Equations and Semiclassical Asymptotics

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.

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

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.