Timeline for Examples of potentials for which Schrödinger equation lacks discrete points in continuous spectrum
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Dec 10, 2016 at 17:33 | vote | accept | Ruslan | ||
| Jan 6, 2015 at 19:45 | comment | added | jjcale | Maybe this makes sense in the rigged Hilbert space approach ? | |
| Jan 6, 2015 at 18:53 | comment | added | Christian Remling | The highlighted statement (in English, I don't read Russian) doesn't make mathematical sense if taken at face value. Attempts at interpretation are provided in the answers below. In my experience, when physicists say "continuous spectrum", more often than not, they are referring to what mathematicians would call the essential spectrum. | |
| Jan 6, 2015 at 17:48 | answer | added | Bazin | timeline score: 4 | |
| Jan 6, 2015 at 16:42 | answer | added | Robert Israel | timeline score: 4 | |
| Jan 6, 2015 at 16:34 | comment | added | Carlo Beenakker | in a tight-binding model on a bipartite lattice, there is a chiral symmetry that prevents $E=0$ from being an eigenvalue (the density of states of the continuous spectrum vanishes in the limit $E\rightarrow 0$); but I would guess that the sentence in L&L is a "typo" in выпадать: "absent from" --> "added to", as it has been changed in some translations. | |
| Jan 6, 2015 at 16:12 | history | asked | Ruslan | CC BY-SA 3.0 |