Timeline for Electron transitions and spin [closed]
Current License: CC BY-SA 4.0
28 events
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| Dec 18, 2018 at 0:16 | history | closed |
Emilio Pisanty Buzz♦ Jon Custer ZeroTheHero BioPhysicist |
Needs details or clarity | |
| Dec 15, 2018 at 4:50 | review | Close votes | |||
| Dec 18, 2018 at 0:16 | |||||
| Dec 15, 2018 at 1:44 | history | edited | Qmechanic♦ |
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| Dec 15, 2018 at 1:02 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| S Nov 9, 2018 at 1:00 | history | bounty ended | CommunityBot | ||
| S Nov 9, 2018 at 1:00 | history | notice removed | CommunityBot | ||
| Nov 7, 2018 at 19:04 | answer | added | akpc | timeline score: 0 | |
| Nov 6, 2018 at 14:51 | comment | added | Pulcinella | @BruceGreetham I asked someone in person about this. They didn't know the answer, but recommended that (1) the Hilbert space to deal with is $H_\text{electron}\otimes H_\text{light}$ (the first being the one in my question and the second describing the possible states of light) (this then satisfies Accidental's complaint), and (2) that ``An Introduction to Quantum Optics'' by Aspect might actually contain the values of this Hamiltonian. | |
| Nov 6, 2018 at 14:47 | comment | added | isometry | Thanks but these comments were just my learning process. In the end I have bought The Quantum Theory of Light (Loudon) - once I've read that I may write up a full answer how all the threads hang together. | |
| Nov 6, 2018 at 12:43 | comment | added | Pulcinella | @BruceGreetham Thank you for all of this. If you're interested in points, I'd be happy to give you the bounty if you transcribe that onto an answer. | |
| Nov 3, 2018 at 20:14 | comment | added | isometry | The best SE answer I have found for the background theory of the 3 processes (absorption , stimulated emission and spontaneous emission) is physics.stackexchange.com/questions/314469/transitions-in-qm. The point is, as I understand it, they all boil down to roughly the same matrix element calculations of the type specified in OP question. | |
| Nov 3, 2018 at 19:52 | comment | added | isometry | Search SE for "electric dipole transition" came up with physics.stackexchange.com/questions/284231/… | |
| Nov 1, 2018 at 19:01 | comment | added | isometry | Search for "Spontaneous emission rate for hydrogen" came up with this physicspages.com/pdf/Griffiths%20QM/… | |
| Nov 1, 2018 at 10:48 | comment | added | Pulcinella | @BruceGreetham Thanks, this is exactly the sort of thing I was looking for. Now I know which entries are zero. However, I looked at the lecture notes, and I don't think either mentions how to calculate what the values $H$ has in the entries which selection rules allow to be nonzero. (It does for a couple, but some are given in terms of things like $\textbf{B}$, not $n,\ell,m,\pm 1/2$). | |
| Nov 1, 2018 at 3:36 | comment | added | isometry | Reference for this question is en.wikipedia.org/wiki/Selection_rule#Summary_table and lecture notes referenced there. | |
| Nov 1, 2018 at 2:40 | history | edited | Pulcinella | CC BY-SA 4.0 |
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| Nov 1, 2018 at 2:39 | comment | added | Pulcinella | @bysymmetry See the edit: I understand that my question is equivalent to choosing the model. That is, the point of the question was to find a model that for instance gives a first-order correction to "$H\approx$ the diagonal with values $E_n$". | |
| Nov 1, 2018 at 2:34 | history | edited | Pulcinella | CC BY-SA 4.0 |
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| Oct 31, 2018 at 23:30 | comment | added | user137289 | You can calculate the transition matrix elements. Electric dipole transitions are easiest, lead to selection rules, "forbidding" most transitions. | |
| Oct 31, 2018 at 23:26 | comment | added | By Symmetry | What physics are you considering in your Hamiltonian? Just the gross structure? Fine structure? Hyperfine structure? | |
| Oct 31, 2018 at 23:08 | comment | added | Pulcinella | @AaronStevens In any case, even if I've misunderstood something, the thing I'd like to know are the entries of $H$. | |
| Oct 31, 2018 at 23:07 | comment | added | Pulcinella | @AaronStevens Yes, I mean that. I was under the impression that (the square of) $\langle \psi | \exp(iHt/\hbar)| \varphi\rangle$ was the probability that, starting at $\varphi$, it is observed in state $\psi$ when the observation is made at time $t$. | |
| S Oct 31, 2018 at 23:05 | history | bounty started | Meow | ||
| S Oct 31, 2018 at 23:05 | history | notice added | Meow | Authoritative reference needed | |
| Oct 31, 2018 at 23:03 | comment | added | BioPhysicist | Do you mean the probability of measuring the system to be in one state given that it starts in another? The QM states themselves evolve deterministically, so if you are talking about the evolution of the state function then you shouldn't be talking about probabilities. Can you clarify? | |
| Oct 31, 2018 at 22:59 | history | edited | Pulcinella | CC BY-SA 4.0 |
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| Oct 29, 2018 at 2:07 | history | edited | BioPhysicist | CC BY-SA 4.0 |
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| Oct 29, 2018 at 1:42 | history | asked | Pulcinella | CC BY-SA 4.0 |