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.
- Publication:
-
Physical Review D
- Pub Date:
- May 2003
- DOI:
- 10.1103/PhysRevD.67.107702
- arXiv:
- arXiv:hep-th/0301175
- Bibcode:
- 2003PhRvD..67j7702C
- Keywords:
-
- 11.30.Pb;
- 03.65.Ge;
- 05.45.Yv;
- Supersymmetry;
- Solutions of wave equations: bound states;
- Solitons;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- revised version, to be pubilshed in PRD