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Results tagged with homework-and-exercises
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user 93851
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
0
votes
Trying to understand lowest configurations of carbon
Electron configuration means the distribution of electrons in atomic (or molecular) orbitals. Here you seem to have an idea dealing with angular and spin momenta.
Hund's rule can tell us what the low …
- 420
2
votes
Hermitian conjugate of differential operator
Hermitian conjugate (also called adjoint) of the operator $A$ is the operator $A^*$ satisfying
$$\langle f,Ag\rangle\,=\,\langle A^* f,g\rangle \text{ for all }f,g\,\in H$$
$H$ is so-called Hilbert sp …
- 420
0
votes
Accepted
Commutator of position and momentum
Two main points are....
Generally $\langle{x}|[X,P]|\alpha\rangle \not= \langle{x}|XP|\alpha\rangle-\langle{x}|PX|\alpha\rangle$
When $[X,P]=XP-PX$ is an well-defined operator in a Hilbert space, …
- 420
1
vote
Mathematical confusion in quantum mechanics
$\int{x\psi\nabla^2\psi^*}d\tau=\int{\psi^*\nabla^2(x\psi)}d\tau$??
$\int{x\psi\nabla^2\psi^*}d\tau=\int x\psi (\frac{\partial^2}{\partial x^2}+\frac{\partial^2}{\partial y^2}+\frac{\partial^2}{\pa …
- 420
1
vote
Characteristic Ka X-rays
I'll give you some points here.
If you just treat $K_\alpha$-rays as a transition from principal number 2 to 1, $\Delta E \approx \frac{3}{4}Z^2$ Hartree, which has unit of keV when $Z>10$.
Use char …
- 420