Open AccessFrom Quantum Field Theory to the Contemporary Quantum Mechanics
Publication year - 2019
Publication title -
advances in theoretical and computational physics
Language(s) - English
Resource type - Journals
ISSN - 2639-0108
DOI - 10.33140/atcp.02.04.13
Subject(s) - physics , quantum mechanics , observable , mathematical formulation of quantum mechanics , hamiltonian (control theory) , fock space , relativistic quantum mechanics , hilbert space , quantum dissipation , quantum field theory , bound state , quantization (signal processing) , classical mechanics , theoretical physics , quantum , quantum process , quantum dynamics , mathematics , mathematical optimization , algorithm
In this talk we remind how the notion of the so-called clothed particles, put forward in relativistic quantum field theory byGreenberg and Schweber, can be used via the method of unitary clothing transformations (shortly, the UCT method) when findingthe eigenstates of the total Hamiltonian H in case of interacting fields with the Yukawa - type couplings. In general, the UCTmethod is aimed at reduction of the exact eigenvalue problem in the primary Fock space to the model-space problems in thecorresponding Hilbert spaces of the contemporary quantum mechanics. In this context we consider an approximate treatmentof the physical vacuum, the observable one-particle and two-particle bound and scattering states.