Timeline for Non-Relativistic Electron Hamiltonian
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44 events
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| Oct 4, 2022 at 0:17 | history | edited | hft | CC BY-SA 4.0 |
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| Oct 3, 2022 at 23:51 | comment | added | John | Check out the paper by Bopp and Haag, Z. Naturforsch. 5a, 644 (1950) | |
| Oct 25, 2021 at 6:03 | 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. | |
| Sep 24, 2021 at 19:24 | history | edited | DanielC | CC BY-SA 4.0 |
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| Sep 24, 2021 at 19:05 | 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. | |
| Aug 24, 2021 at 19:32 | answer | added | Mauricio | timeline score: 2 | |
| Aug 24, 2021 at 18:04 | 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. | |
| Apr 23, 2021 at 17:02 | 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. | |
| Dec 22, 2020 at 17:00 | 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. | |
| Aug 24, 2020 at 7:02 | 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. | |
| Apr 24, 2020 at 23:05 | 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. | |
| Dec 21, 2019 at 8:02 | 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. | |
| Aug 22, 2019 at 11:03 | 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. | |
| Apr 10, 2019 at 4:04 | 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. | |
| Dec 9, 2018 at 19:35 | comment | added | Vladimir Kalitvianski | Your formula (3) is wrong: the Hamiltonian is not a sum of a vector and a scalar. Formula (5) can only be valid for very-high-spin (nearly classical) particles; for an electron there may be only two possible projections of the spin on the magnetic field. | |
| Dec 9, 2018 at 19:02 | 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. | |
| Nov 8, 2018 at 23:02 | 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. | |
| Oct 7, 2018 at 14:00 | 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. | |
| Sep 6, 2018 at 22:00 | 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. | |
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| Jul 7, 2018 at 4:48 | 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. | |
| Jun 3, 2018 at 21:12 | 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. | |
| May 3, 2018 at 6:59 | 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. | |
| Apr 3, 2018 at 1:08 | 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. | |
| Mar 4, 2018 at 0:02 | 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. | |
| Feb 1, 2018 at 0:32 | 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. | |
| Dec 31, 2017 at 14:43 | 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. | |
| Nov 30, 2017 at 3:28 | 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. | |
| Oct 28, 2017 at 2:25 | 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. | |
| Sep 27, 2017 at 1:52 | 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. | |
| Aug 27, 2017 at 9:27 | 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. | |
| Jul 27, 2017 at 12:05 | 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. | |
| Jun 27, 2017 at 9:06 | 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. | |
| May 26, 2017 at 4:18 | 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. | |
| Apr 25, 2017 at 15:04 | history | tweeted | twitter.com/StackPhysics/status/856886737787908096 | ||
| Apr 24, 2017 at 22:20 | comment | added | Emilio Pisanty | @Fururologist Sure, you can make up an ad-hoc classical description for the spin. Now where in classical or non-relativistic quantum mechanics are you going to get the corresponding hamiltonian? | |
| Apr 24, 2017 at 21:56 | comment | added | Futurologist | @tbt I think the canonical coordinates here are $(x,p,\sigma) \in T^*\mathbb{R}^3 \times so^*(3) = T^*\mathbb{R}^3 \times su^*(2)$. The Poisson structure is the combination of the canonical symplectic structure on the cotangent bundle $ T^*\mathbb{R}^3$ plus the Lie-Poisson structure on the dual of the Lie algebra $so(3) \cong su(3)$. | |
| Apr 24, 2017 at 20:43 | history | edited | Sam |
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| Apr 24, 2017 at 19:56 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
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| Apr 24, 2017 at 18:24 | comment | added | tbt | as far as I know, you cannot truly derive it from the classical non-relativistic model. The presence of the $\vec B \cdot \vec \sigma$ term is a quantum effect. You will surely recognize that from the classical point of view you're missing something: how should $\vec s$ be expressed in terms of the canonical coordinates $p,q$ ? To get that term, one has to consider the hamiltonian of the Dirac spinor in presence of an electromagnetic potential. Then by taking the non-relativistic limit one gets a term $\sim \vec B \cdot \vec \sigma$. | |
| Apr 23, 2017 at 3:32 | answer | added | Futurologist | timeline score: 0 | |
| Apr 21, 2017 at 15:39 | history | edited | Sam | CC BY-SA 3.0 |
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| Apr 20, 2017 at 14:33 | history | edited | Sam | CC BY-SA 3.0 |
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| Apr 20, 2017 at 13:43 | history | asked | Sam | CC BY-SA 3.0 |