On the representation of the position operator and Lie-Hamilton equation in the discrete momentum space
Won Sang Chung
TL;DR
This paper explores how the position operator and Lie-Hamilton equation can be represented within the framework of discrete momentum space, providing insights into their mathematical structure and potential applications.
Contribution
It introduces a novel representation of the position operator and Lie-Hamilton equation specifically tailored for discrete momentum space.
Findings
New mathematical representation of position operator in discrete momentum space
Derivation of Lie-Hamilton equation in the same framework
Potential applications in quantum mechanics and signal processing
Abstract
In this paper the representation of the position operator and the Lie-Hamilton equation in the discrete momentum space.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Quantum chaos and dynamical systems