Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

In this paper the Hamiltonian for the system of semi-relativistic particles
interacting with a scalar bose field is investigated. A scaled total
Hamiltonian of the system is defined and its scaling limit is considered. Then
the semi-relativistic Schrodinger operator with an effective potential is
derived.

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