Abstract

New relativistic semiclassical quantization conditions are obtained for a system of two equal-mass fermions interacting via nonsingular confining quasipotentials and quasipotentials of the funnel type. The quantization conditions are specified in the pseudoscalar, pseudovector, and vector cases. The respective analysis is performed within the Hamiltonian formulation of quantum field theory via a transition to the relativistic configuration representation for the case of a bound system formed by two relativistic spin particles of equal mass.

中文翻译：

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两个等质量费米子相对论界系统的半经典量化条件

摘要

对于两个通过非奇异约束拟势和漏斗型拟势相互作用的两个等质量费米子系统，获得了新的相对论半经典量化条件。在伪标量，伪向量和向量情况下指定了量化条件。对于由两个质量相等的相对论自旋粒子形成的束缚系统，在量子场论的哈密顿公式中，通过转换为相对论构型表示，进行了相应的分析。