Generalized Binomial States: Ladder Operator Approach

Details Generalized Binomial States: Ladder Operator Approach Generalized Binomial States: Ladder Operator Approach

1996-07-15

arxiv.org/abs/quant-ph/9607012v1

J.Phys.A29:5637-5644,1996

Physics

Quantum Physics

LaTeX-2e, 11 pages, no figure. Accepted for publication in J.Phys.A:math.Gen

Scientific paper

10.1088/0305-4470/29/17/034

We show that the binomial states (BS) of Stoler {\it et al.} admit the ladder and displacement operator formalism. By generalizing the ladder operator formalism we propose an eigenvalue equation which possesses the number and the squeezed states as its limiting solutions. The explicit forms of the solutions, to be referred to as the {\it generalized binomial states} (GBS), are given. Corresponding to the wide range of the eigenvalue spectrum these GBS have as widely different properties. Their limits to number and {\it squeezed} states are investigated in detail. The time evolution of BS is obtained as a special case of the approach.

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