- #1
andre220
- 75
- 1
Homework Statement
Consider a spinless particle in a central field in a state described by:
[tex] \psi_a(r) = (x^2 - y^2) e^{-\alpha r^2} [/tex]
[tex] \psi_b(r) = xyz e^{-\alpha r^2} [/tex]
Find quantum numbers [tex] l [/tex] and [tex] l_z [/tex] (or their appropriate superposition) for these two cases.
Homework Equations
[tex] \psi(r) = \psi(r, \theta, \phi) = R(r)Y(\theta, \phi) [/tex]
The Attempt at a Solution
Okay so I am not sure where to start with this problem, I could construct the Schrodinger equation in terms of the radial and spherical harmonics and then we know that [tex] l [/tex] can be determined from this equation, yet I do not know what the potential for such equation should be.