arXiv 1003.26842010-03-13quant-ph

On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential

V Chithiika Ruby, M Senthilvelan

备注：: 19 pages, Accepted for Publication in Journal of Mathematical Physics

英文摘要：

In this paper, we propose an algorithm to construct coherent states for an exactly solvable position dependent mass Schrödinger equation. We use point canonical transformation method and obtain ground state eigenfunction of the position dependent mass Schrödinger equation. We fix the ladder operators in the deformed form and obtain explicit expression of the deformed superpotential in terms of mass distribution and its derivative. We also prove that these deformed operators lead to minimum uncertainty relations. Further, we illustrate our algorithm with two examples in which the coherent states given for the second example is new.

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