Hybrid derivation of the 1D harmonic oscillator propagator
Marco Moriconi
Abstract
Marco Moriconi
Abstract
We provide an elementary derivation of the one-dimensional quantum harmonic oscillator propagator, using a mix of approaches, such as path integrals, canonical operators, and ladder operators. This way we take the best of each world, and find the propagator with as few tears as possible.
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We provide an elementary derivation of the one-dimensional quantum harmonic oscillator propagator, using a mix of approaches, such as path integrals, canonical operators, and ladder operators. This way we take the best of each world, and find the propagator with as few tears as possible.
Key concepts: Propagator, Physics, Harmonic oscillator, Path integral formulation, Quantum harmonic oscillator, Coherent states, Harmonic, Quantum