Scaling Limits for the System of Semi-Relativistic Particles Coupled to a Scalar Bose Field
arXiv:1004.4261 · doi:10.1007/s11005-011-0487-8
Abstract
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.