Canonical quantization of dynamical systems using gauge transformation

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.