Journal ArticleDOI
Berry phase for supersymmetric shape-invariant potentials
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In this article, a recurrence relation linking the Berry connections for different states is derived for shape invariant potentials, and the Berry phases are discussed for shape-invariant potential potentials.About:
This article is published in Physics Letters A.The article was published on 1994-09-19. It has received 0 citations till now. The article focuses on the topics: Berry connection and curvature & Invariant (mathematics).read more
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.
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Aspects of Supersymmetric Quantum Mechanics
Fred Cooper,Barry Freedman +1 more
TL;DR: In this article, the properties of supersymmetric quantum mechanics for a class of models proposed by Witten were reviewed using both Hamiltonian and path integral formulations, and general conditions for which supersymmetry is broken (unbroken) by quantum fluctuations.
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Supersymmetric quantum mechanics of one-dimensional systems
TL;DR: In this article, it was shown that every one-dimensional quantum mechanical Hamiltonian H1 can have a partner H2 such that H1 and H2 taken together may be viewed as the components of a supersymmetric Hamiltonian.
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Supersymmetry, Shape Invariance and Exactly Solvable Potentials
TL;DR: In this paper, it is shown that the harmonic oscillator potential can be solved by using raising and lowering operators, which can be generalized with the help of supersymmetry and the concept of shape invariant potentials, allowing one to calculate energy eigenvalues and eigenfunctions of essentially all known exactly solvable potentials in a simple and elegant manner.