q-oscillators, (non-)Kaehler manifolds and constrained dynamics
Sergey V. Shabanov
TL;DR
This paper explores the interpretation of q-deformed quantum mechanics as quantum mechanics on Kaehler manifolds or with constrained dynamics, providing a geometric perspective on deformation.
Contribution
It establishes a connection between q-deformed quantum mechanics and geometric structures like Kaehler manifolds and constrained systems, offering new insights into deformation theory.
Findings
q-deformed Heisenberg algebra relates to Kaehler manifolds
Quantum mechanics can be viewed as constrained dynamics
Provides geometric interpretation of quantum deformation
Abstract
It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or first-) class constraints. (Saclay, T93/027).
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