Geometric Quantization

Abstract

In Chapter 4 we have quantized the Kepler Problem using the Schrödinger method, i.e., we have found the eigenvalues and the eigenfunctions of the Hermitian operator

$$\begin{array}{*{20}{c}} {\hat{H} = \frac{1}{2}{{{\hat{p}}}^{2}} - \frac{1}{q},} & {where} & {{{{\hat{p}}}_{k}} = - i\frac{\partial }{{\partial {{q}^{k}}}}.} \\ \end{array}$$