Self-adjoint extensions and SUSY breaking in supersymmetric quantum mechanics

被引：18
|
作者：
Falomir, H [1 ]
Pisani, PAG [1 ]
机构：
[1] Natl Univ La Plata, CONICET, Fac Ciencias Exactas, Dept Fis,IFLP, RA-1900 La Plata, Argentina
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 21期
关键词：
D O I：
10.1088/0305-4470/38/21/011
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 = I SUSY algebra is obtained, with spontaneously broken SUSY and non-degenerate energy spectrum.
引用
收藏
页码：4665 / 4683
页数：19
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