Zeitschrift für Naturforschung A

Canonical quantization of dynamical systems using gauge transformation

Farhan Saif

Published Jun 3, 2025• 0 citations

Abstract

Abstract We show the canonical quantization of dynamical systems using gauge transformation. The modulating external forcing is given a structural similarity to a vector potential in the transformed effective Hamiltonian, which is similar to that of a static system. Quantization of the coupled modulation provides Lie algebra and Hilbert space spanned by eigenstates |n⟩, which we explain as external modulation generated effective quantized electromagnetic field.

DOI: 10.1515/zna-2024-0311

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