Some generalizations in supersymmetric quantum mechanics and the supersymmetric ε-system revisited (2013)
- Authors:
- Autor USP: SILVA, ADILSON JOSE DA - IF
- Unidade: IF
- Subjects: SUPERSIMETRIA; MECÂNICA QUÂNTICA
- Language: Inglês
- Abstract: We discuss two distinct aspects in supersymmetric quantum mechanics. First, we introduce a new class of operators A and A¯ in terms of anticommutators between the momentum operator and N + 1 arbitrary superpotentials. We show that these operators reduce to the conventional ones which are the starting point in standard supersymmetric quantum mechanics. In this context, we argue furthermore that supersymmetry does not only connect Schrödinger-like operators, but also a more general class of differential operators. Second, we revisit the supersymmetric ε-system recently introduced in the literature by exploiting its intrinsic supersymmetry. Specifically, combining the Hamilton hierarchy method and the δ-expansion method, we determine an energy for the first excited state of the bosonic Hamiltonian close to that calculated in earlier works.
- Imprenta:
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ABNT
GALLEGOS, E A e SILVA, Adílson José da e SPEHLER, D. Some generalizations in supersymmetric quantum mechanics and the supersymmetric ε-system revisited. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1307.1107v1.pdf. Acesso em: 11 mar. 2026. , 2013 -
APA
Gallegos, E. A., Silva, A. J. da, & Spehler, D. (2013). Some generalizations in supersymmetric quantum mechanics and the supersymmetric ε-system revisited. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1307.1107v1.pdf -
NLM
Gallegos EA, Silva AJ da, Spehler D. Some generalizations in supersymmetric quantum mechanics and the supersymmetric ε-system revisited [Internet]. 2013 ;[citado 2026 mar. 11 ] Available from: http://lanl.arxiv.org/pdf/1307.1107v1.pdf -
Vancouver
Gallegos EA, Silva AJ da, Spehler D. Some generalizations in supersymmetric quantum mechanics and the supersymmetric ε-system revisited [Internet]. 2013 ;[citado 2026 mar. 11 ] Available from: http://lanl.arxiv.org/pdf/1307.1107v1.pdf - Two-loop finiteness of self-energies in higher-derivative SUSY theories at three dimensions
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