- #1
BRN
- 107
- 10
Hi guys!
For nuclear case, I need to write an Schrödinger equation in cylindrical coordinates with an total potential formed by Woods-Saxon potential, spin-orbit potential and the Coulomb potential.
Schrödinger equation can be written in this form:
$$[-\frac{\hbar^2}{2m}(\frac{\partial ^2}{\partial r^2}+\frac{1}{r}\frac{\partial }{\partial r}+\frac{1}{r^2}\frac{\partial^2}{\partial \varphi^2 }+\frac{\partial^2}{\partial z^2})+V_{tot}]\Psi (r, \varphi, z)=E \Psi (r, \varphi, z)$$
How can I write explicitly ##V_{tot}##?
Someone could give me some ideas on how to write Woods-Saxon, spin-orbit, Coulomb potentials in cylindrical coordinates?
Thanks!
For nuclear case, I need to write an Schrödinger equation in cylindrical coordinates with an total potential formed by Woods-Saxon potential, spin-orbit potential and the Coulomb potential.
Schrödinger equation can be written in this form:
$$[-\frac{\hbar^2}{2m}(\frac{\partial ^2}{\partial r^2}+\frac{1}{r}\frac{\partial }{\partial r}+\frac{1}{r^2}\frac{\partial^2}{\partial \varphi^2 }+\frac{\partial^2}{\partial z^2})+V_{tot}]\Psi (r, \varphi, z)=E \Psi (r, \varphi, z)$$
How can I write explicitly ##V_{tot}##?
Someone could give me some ideas on how to write Woods-Saxon, spin-orbit, Coulomb potentials in cylindrical coordinates?
Thanks!