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arXiv · 0911.1627

Basic-deformed quantum mechanics

A. Lavagno
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Abstract

Starting on the basis of $q$-symmetric oscillator algebra and on the associate $q$-calculus properties, we study a deformed quantum mechanics defined in the framework of the basic square-integrable wave functions space. In this context, we introduce a deformed Schroedinger equation, which satisfies the main quantum mechanics assumptions and admits, in the free case, plane wave functions that can be expressed in terms of the q-deformed exponential, originally introduced in the framework of the basic-hypergeometric functions.

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A. Lavagno. 2009-11-09. Basic-deformed quantum mechanics. https://doi.org/10.1016/s0034-4877(09)90021-0

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