Recent content by Leamas

The usual procedure is like this: first quantize it in x, y, z coordinate system, one obtains: H=-\frac{\hbar^2}{2m}(\frac{\partial^2}{\partial x}+\frac{\partial^2}{\partial y}+\frac{\partial^2}{\partial z}). Then change it to the spherical coordinate system, using simple calculus, one gets...

For example, I want to know how to quantize a free particle in the spherical coordinates. Given a classical Hamiltonian H(r, \theta, \phi, p_r, p_{\theta}, p_{\phi}), the standard procedure tells us to let r, \theta, \phi be operators and they form a complete set. And The corresponding...