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arXiv · 0808.1976

Deformed quantum mechanics and q-Hermitian operators

A. Lavagno
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Abstract

Starting on the basis of the non-commutative q-differential calculus, we introduce a generalized q-deformed Schrödinger equation. It can be viewed as the quantum stochastic counterpart of a generalized classical kinetic equation, which reproduces at the equilibrium the well-known q-deformed exponential stationary distribution. In this framework, q-deformed adjoint of an operator and q-hermitian operator properties occur in a natural way in order to satisfy the basic quantum mechanics assumptions.

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A. Lavagno. 2008-08-14. Deformed quantum mechanics and q-Hermitian operators. https://doi.org/10.1088/1751-8113/41/24/244014

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