Operator Domains and SUSY Breaking in a Model of SUSYQM with a Singular Potential

The self-adjoint extension of the symmetric supercharges and Hamiltonian of a model of Supersymmetric Quantum Mechanics on the half-line, for the case of a singular superpotential, is analyzed. The compatibility of the domains of definition of the different operators and the possibility of effective...

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Autores principales: Falomir, Horacio Alberto, González Pisani, Pablo Andrés
Formato: Objeto de conferencia
Lenguaje:Español
Publicado: 2010
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139201
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Sumario:The self-adjoint extension of the symmetric supercharges and Hamiltonian of a model of Supersymmetric Quantum Mechanics on the half-line, for the case of a singular superpotential, is analyzed. The compatibility of the domains of definition of the different operators and the possibility of effectively implement the graded superalgebra in a dense subspace of the Hilbert space is considered. As a consequence, conditions for SUSY breaking in this model are established.