Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field
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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, a semi-relativistic Schrödinger operator with an effective potential is derived.
Mathematics Subject Classification (2010)81Q10 62M15
Keywordsspectral analysis relativistic Schrödinger operator quantum field theory.
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