Hamiltonian path integral quantization in polar coordinates

1998/04/15 by A. K. Kapoor, Kapoor, A. K., Pankaj Sharan +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9804037

15 pages, latex, no figures

arxiv created 1998/04/15 · arxiv updated 2009/12/01

Abstract

Using a scheme proposed earlier we set up Hamiltonian path integral quantization for a particle in two dimensions in plane polar coordinates.This scheme uses the classical Hamiltonian, without any O(ℏ²) terms, in the polar varivables. We show that the propagator satisfies the correct Schrödinger equation.

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