دانلود مقاله : Supersymmetric descendants of self-adjointly extended quantum mechanical Hamiltonia

چکیده : 

We consider the descendants of self-adjointly extended Hamiltonians

in supersymmetric quantum mechanics on a half-line,

on an interval, and on a punctured line or interval. While there

is a 4-parameter family of self-adjointly extended Hamiltonians

on a punctured line, only a 3-parameter sub-family has supersymmetric

descendants that are themselves self-adjoint. We also

address the self-adjointness of an operator related to the supercharge,

and point out that only a sub-class of its most general selfadjoint

extensions is physical. Besides a general characterization of

self-adjoint extensions and their supersymmetric descendants, we

explicitly consider concrete examples, including a particle in a box

with general boundary conditions, with and without an additional

point interaction. We also discuss bulk-boundary resonances and

their manifestation in the supersymmetric descendant