Self-adjoint extensions and SUSY breaking in SUSYQM

H. FALOMIR; P. A. G. PISANI

Facultad de Ciencias Exactas y Naturales de la UBA, Buenos Aires

Congreso; 1ra. Reunión conjunta AFA - SUF - 2008; 2008

AFA y Sociedad Uruguaya de Física

Charla para la División de Física Teórica: We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a model of SUSY Quantum Mechanics in 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.