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2021 Construction of Solutions of the Classical Field Equation of a Massless Klein-Gordon Field Interacting with a Static Source
Toshimitsu TAKAESU
Tokyo J. Math. Advance Publication 1-10 (2021). DOI: 10.3836/tjm/1502179328

Abstract

In this paper, we investigate a quantum-classical correspondence property of a system of a massless Klein-Gordon field coupled to a static source. Under momentum regularity conditions, the total Hamiltonian is a self-adjoint operator on a boson Fock space. We introduce annihilation operators in the Heisenberg picture and define a sesquilinear form. Under additional momentum regularity conditions, it is proven that the sesquilinear form is a solution of the classical field equation.

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Toshimitsu TAKAESU. "Construction of Solutions of the Classical Field Equation of a Massless Klein-Gordon Field Interacting with a Static Source." Tokyo J. Math. Advance Publication 1 - 10, 2021. https://doi.org/10.3836/tjm/1502179328

Information

Published: 2021
First available in Project Euclid: 7 January 2021

Digital Object Identifier: 10.3836/tjm/1502179328

Subjects:
Primary: 81Q10
Secondary: 47B25

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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