A Coherent State Associated with Shape-Invariant Potentials
Takahiro Fukui,Naruhiko Aizawa +1 more
TLDR
An algebraic treatment of shape-invariant potentials is discussed in this article, where an operator which reparametrizes wave functions can be related to a generalized Heisenberg-Weyl algebra.Abstract:
An algebraic treatment of shape-invariant potentials is discussed. By introducing an operator which reparametrizes wave functions, the shape-invariance condition can be related to a generalized Heisenberg-Weyl algebra. It is shown that this makes it possible to define a coherent state associated with the shape-invariant potentials.read more
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Generalized Coherent States and Their Applications
TL;DR: In this paper, the authors define the notion of generalized coherent states and define a generalization of the Coherent State Representation T?(g) of the Heisenberg-Weyl Group.
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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The factorization method
Leopold Infeld,T. E. Hull +1 more
TL;DR: The first-order differential-difference factorization method as mentioned in this paper is an operational procedure which enables us to answer, in a direct manner, questions about eigenvalue problems which are of importance to physicists.
Book
Coherent states: applications in physics and mathematical physics
TL;DR: In this article, the usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics, and a review on coherent states and some of their applications is given.