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Soviet physics. Doklady

Relativistic quantum Hamiltonian formulation for a system of directly interacting particles

Skiff N. Sokolov

Published Apr 1, 1977• 2 citations
OpenAlex

Abstract

The general quantum solution of Dirac's problem is given for a system of directly interacting particles where the number of particles may be either constant or variable. (AIP)

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For an arbitrary number of particles an explicit construction is given for direct interactions satisfying cluster separability (macrolocality). The Hamiltonian is in many ways similar to the nonrelativistic many-body Hamiltonian. Under conditions of physical interest the strength of the NNN-body interaction decreases rapidly with increasing NNN.
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Bound state solutions of a quantum Dirac particle with a tensor interactions terms are investigated by Asymptotic Iteration Method. The eigenvalues are calculated for tensor potentials and formulated into closed forms. Similarity Transformation is used to convert the Dirac equation into a generalized useful form. The s-wave analytical solutions for the relativistic problems of the Dirac-oscillator, Scarf, Rosen-Morse II, and Pöschl-Teller tensor potentials are obtained with an excellent agreement with previous works.