Original Articles

GEOMETRIC QUANTIZATION OF THE THREE-DIMENSIONAL HARMONIC OSCILLATOR

Published in: Quaestiones Mathematicae
Volume 8 , issue 4 , 1985 , pages: 387–393

DOI: 10.1080/16073606.1985.9631926

Author(s): GC Sherry Department of Mathematics and Applied Mathematics,

Keywords: 58F06

Abstract

In this article we apply the geometric quantization method of Rund to the case of the three-dimensional harmonic oscillator and show that the eigenvalue spectrum thus obtained coincides precisely with the energy eigenvalue spectrum that is prescribed by standard quantum mechanics.

« ALL GRAPHS ON A NON-PRIME NUMBER OF VERTICES ARE DESTRUCTIBLE

ADDENDUM TO MY PAPER “GAUGE TRANSFORMATIONS OF TYPE (0,2) TENSOR FIELDS AND ASSOCIATED VARIATIONAL PRINCIPLES” »