4 edited tags; edited tags
| link

Operators commutation and relation between eigenfunctionseigenvalues

3 added 2 characters in body
source | link

operators Operators commutation and relation between eigenfunctions

Good morning,

If H$H$ and L$L_i$ are commuting ( $[H, L] = 0$$[H, L_i] = 0$ ) could we deduce that the eigenvalues of H$H$ depend/ do not depend on m$m$ and l$\ell$ ( eigenvalue of $L_z, L^2$ )  ? I don't think so since it does not depend for the hydrogen atom but in a more general case could we deduce some relation between eigenvalues when two operators are commuting  ?

And in the particular case where H = $L^2/2\mu a$ $H = L^2/2\mu a$?

Thanks

operators commutation and relation between eigenfunctions

Good morning,

If H and L are commuting ( $[H, L] = 0$ ) could we deduce that the eigenvalues of H depend/ do not depend on m and l ( eigenvalue of $L_z, L^2$ )  ? I don't think so since it does not depend for the hydrogen atom but in a more general case could we deduce some relation between eigenvalues when two operators are commuting  ?

And in the particular case where H = $L^2/2\mu a$ ?

Thanks

Operators commutation and relation between eigenfunctions

If $H$ and $L_i$ are commuting ( $[H, L_i] = 0$ ) could we deduce that the eigenvalues of $H$ depend/ do not depend on $m$ and $\ell$ ( eigenvalue of $L_z, L^2$ )? I don't think so since it does not depend for the hydrogen atom but in a more general case could we deduce some relation between eigenvalues when two operators are commuting?

And in the particular case where $H = L^2/2\mu a$?

2 [Edit removed during grace period]
source | link
1
source | link