The Vladimirov operator with variable coefficients on finite adeles and the Feynman formulas for the Schrödinger equation

Author:

Urban Roman1ORCID

Affiliation:

1. Institute of Mathematics, Wroclaw University , Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland

Abstract

We construct the Hamiltonian Feynman, Lagrangian Feynman, and Feynman–Kac formulas for the solution of the Cauchy problem with the Schrödinger operator −MgDα − V, where Dα is the Vladimirov operator and Mg is the operator of multiplication by a real-valued function g defined on the d-dimensional space AKd of finite adeles over the algebraic number field K.

Publisher

AIP Publishing

Reference63 articles.

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