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A scenario of supersymmetry in quantum mechanics
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In this article, a scenario of supersymmetry in quantum mechanics was constructed by imposing a structure on the raising and lowering operators, and possible consequences were worked out in one dimension.Abstract:
We construct a scenario of supersymmetry in quantum mechanics by imposing a structure on the raising and lowering operators. Possible consequences are worked out in one dimension which includes relating supersymmetry to the infinite deep well problemread more
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The Quantum mechanics SUSY algebra: An Introductory review
TL;DR: In this paper, the Dirac canonical quantization method is implemented for the Lagrangian formalism with N = 2 supersymmetry in terms of two Grassmann variables in Classical Mechanics.
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Odd potentials in supersymmetric quantum mechanics
TL;DR: In this paper, the case of odd potentials for which supersymmetry is broken is investigated, and it is always possible to construct a representation which includes a non-degenerate zero-energy ground state.
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Some remarks on a model of supersymmetric quantum mechanics
TL;DR: In this article, a supersymmetric quantum mechanics model was developed that put a group structure on the creation and annihilation operators, and applied the scheme to a variety of quantum mechanical problems and work out a two-term energy recursion equation when the overall group structure is U(1, 1).
Journal ArticleDOI
Some remarks on a scenario of supersymmetry in quantum mechanics
TL;DR: In this paper, the authors give some remarks on a recent paper of Lahiri, Kumar Roy and Bagchi who have constructed a scenario of supersymmetry in quantum mechanics by imposing a structure on the raising and lowering operators.
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Some solvable eigenvalue problems
TL;DR: In this paper, an extension of supersymmetrization is proposed in which the couple of separated second-order differential equations can be fit into a new scheme with existence of a double degeneracy of their eigenspectra.
References
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Journal ArticleDOI
Dynamical Breaking of Supersymmetry
TL;DR: In this article, general conditions for dynamical supersymmetry breaking are discussed and examples are given (in 0 + 1 and 2 + 1 dimensions) in which such a program in four dimensions is possible.
Journal ArticleDOI
Supersymmetry and the Bistable Fokker-Planck equation
Marc Bernstein,Lowell S. Brown +1 more
TL;DR: The approach to equilibrium in a bistable system is governed by a small eigenvalue which appears to be difficult to compute as discussed by the authors, but supersymmetry makes possible an easy evaluation of this eigen value.
Journal ArticleDOI
Accidental Degeneracies and Supersymmetric Quantum Mechanics
TL;DR: The relevant spectrum-generating superalgebras for these supersymmetric quantum-mechanical systems are introduced and studied in this paper, where the appropriate dynamical supersymmetries are identified.
Journal ArticleDOI
Square-well potential by an algebraic approach
Sabre Kais,Raphael D. Levine +1 more
TL;DR: The spectrum-generating algebra for the problem of a particle in a potential well is shown to be su(1,1) and the coherent states are explicitly constructed.