Dynamical mapping method in nonrelativistic models of quantum field theory
A.N.Vall, S.E.Korenblit, V.M.Leviant, A.B.Tanaev
TL;DR
This paper develops a dynamical mapping method to solve Heisenberg equations and eigenvalue problems in nonrelativistic quantum field models, clarifying the relation between renormalization and selfadjoint extensions.
Contribution
It introduces a dynamical mapping approach for nonrelativistic quantum field models and explores its equivalence and connection to renormalization and selfadjoint extensions.
Findings
Solutions to Heisenberg equations obtained
Equivalence of different dynamical mappings demonstrated
Connection between renormalization and selfadjoint extensions clarified
Abstract
The solutions of Heisenberg equations and two-particles eigenvalue problems for nonrelativistic models of current-current fermion interaction and model are obtained in the frameworks of dynamical mapping method. The equivalence of different types of dynamical mapping is shown. The connection between renormalization procedure and theory of selfadjoint extensions is elucidated.
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