From Classical to Quantum Mechanics

J. Iliopoulos, Theodore N. Tomaras

Published Oct 25, 2021• 0 citations

Abstract

Abstract In Chapter 2 we presented the method of canonical quantisation which yields a quantum theory if we know the corresponding classical theory. In this chapter we argue that this method is not unique and, furthermore, it has several drawbacks. In particular, its application to constrained systems is often problematic. We present Feynman’s path integral quantisation method and derive from it Schroödinger’s equation. We follow Feynman’s original approach and we present, in addition, more recent experimental results which support the basic assumptions. We establish the equivalence between canonical and path integral quantisation of the harmonic oscillator.

DOI: 10.1093/oso/9780192844200.003.0009

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