Star products and deformed oscillators
Demosthenes Ellinas
TL;DR
This paper introduces a star-product formalism to describe deformations of the quantum harmonic oscillator, unifying various generalized oscillators and exploring star dynamics and coherent states.
Contribution
It presents a novel star-product framework for oscillator deformations, connecting existing models and analyzing their properties.
Findings
Unified description of generalized oscillators
Development of star dynamics and coherent states
Identification of specific star-products for oscillator deformations
Abstract
A star-product formalism describing deformations of the standard quantum mechanical harmonic oscillator is introduced. A number of existing generalized oscillators occur as particular choises of star-products between the elements of the ordinary oscillator algebra. Star dynamics and coherent states are introduced and studied.
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Taxonomy
TopicsHistory and Developments in Astronomy