Coherent States: A General Approach

Details Coherent States: A General Approach Coherent States: A General Approach

2003-02-22

arxiv.org/abs/quant-ph/0302171v1

Physics

Quantum Physics

7 pages, 1 figure, article style

Scientific paper

A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and rely on the properties of the orthogonal polynomials, for their derivation. The information about a given quantum mechanical potential enters into these states, through the orthogonal polynomials associated with it and also through its ground state wave function. The time evolution of some of these states exhibit fractional revivals, having relevance to the factorization problem.

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