Almost-zero-energy Eigenvalues of Some Broken Supersymmetric Systems

Abstract

For a quantum mechanical system with broken supersymmetry, we present a simple method of determining the ground state when the corresponding energy eigenvalue is sufficiently small. A concise formula is derived for the approximate ground state energy in an associated, well-separated, asymmetric double-well-type potential. Our discussion is also relevant for the analysis of the fermion bound state in the kink-antikink scalar background.

revised version, to be pubilshed in PRD

References in corpus (2)

• Mode regularization of the susy sphaleron and kink: zero modes and discrete gauge symmetry
• Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Cited by in corpus (1)

• Creation of Bound Half-Fermion Pairs by Solitons