- #1
Salmone
- 101
- 13
In a central potential problem we have for the Hamiltonian the expression: ##H=\frac{p^2}{2m}+V(r)## and we use to solve problems like this noting that the Hamiltonian is separable, by separable I mean that we can express the Hamiltonian as the sum of multiple parts each one commuting with the other, so for example: ##H=H_1+H_2+H_3## and ##[H_1,H_2]=0## ##[H_2,H_3]=0## ##[H_1,H_3]=0##. In the case of the central potential, how can we separate the Hamiltonian? In which Hamiltonians does it separate?