Charged particles interaction in both a finite volume and a uniform magnetic field

Abstract

A formalism for describing charged particles interaction in both a finite volume and a uniform magnetic field is presented. In the case of short-range interaction between charged particles, we show that the factorization between short-range physics and finite volume long-range correlation effect is possible, a Lüscher formula-like quantization condition is thus obtained.

Revised version, an error in Eq.(63) is corrected, to appear in PRD

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Cited by in corpus (7)

• Coulomb corrections to two-particle interaction in artificial traps
• Nuclear reactions in artificial traps
• Charged-particle bound states in periodic boxes
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Polar magneto-optic Kerr and Faraday effects in finite periodic \texorpdfstring{$\mathcal{P}\mathcal{T}$}{PT}-symmetric systems
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Particles in finite volumes and a toy model of decaying neutrons