Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
Falomir, H. ; Pisani, P. A. G.
arXiv, 0501083 / Harvested from arXiv
Text on arXiv
We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a model of SUSY Quantum Mechanics in $\mathbb{R}^+$ with a singular superpotential. We show that only for two particular SAE, whose domains are scale invariant, the algebra of N=2 SUSY is realized, one with manifest SUSY and the other with spontaneously broken SUSY. Otherwise, only the N=1 SUSY algebra is obtained, with spontaneously broken SUSY and non degenerate energy spectrum.
Publié le : 2005-01-11
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{0501083,
     author = {Falomir, H. and Pisani, P. A. G.},
     title = {Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum
  Mechanics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501083}
}

Falomir, H.; Pisani, P. A. G. Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum
  Mechanics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501083/