Feynman formulas for the Schrödinger equations with the Vladimirov operator

Autor:	O. V. Beloshapka
Rok vydání:	2010
Předmět:	Mathematical analysis Statistical and Nonlinear Physics Differential operator Semi-elliptic operator symbols.namesake Elliptic operator Laplace–Beltrami operator Hypoelliptic operator symbols Feynman diagram C0-semigroup Laplace operator Mathematical Physics Mathematics
Zdroj:	Russian Journal of Mathematical Physics. 17:267-271
ISSN:	1555-6638 1061-9208
DOI:	10.1134/s1061920810030015
Popis:	A Feynman formula for heat-type equations with respect to functions defined on the product of a real line and the space ℚpn is obtained. By a Feynman formula we mean a representation of a solution of the Cauchy problem for the differential evolution equation as a limit of integrals over Cartesian powers of some space. The result thus obtained sharpens results of the paper [1]. The role of the Laplace operator is played here by the Vladimirov operator. Equations of this type turned out to be useful when describing the dynamics of proteins.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9835a1f18b9eb0de76bcd61f0cb68ee9 https://doi.org/10.1134/s1061920810030015 Zobrazit plný text záznamu Full text from SpringerLink