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:
-
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: 06 mar. 2025. , 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 2025 mar. 06 ] 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 2025 mar. 06 ] Available from: http://lanl.arxiv.org/pdf/1307.1107v1.pdf - Equivalencia thirring-acoplamento derivativo
- On the 'LAMBDA''0 POT.4'-o (n) model at finite temperature
- Efeitos do Vácuo na Mecânica Quântica
- Referenciais acelerados na relatividade restrita
- Vortices, infrared effects and lorentz invariance violation
- Non relativistic limit in field theory models involving Chern Simons interactions
- Alternative dimensional reduction via the density matrix
- A new simple class of superpotentials in SUSY quantum mechanics
- Low energy limit of the Chern-Simons theory coupled to fermions
- On the many-field f(R) brane
How to cite
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
