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Let us consider an electron state in a hydrogen atom characterized by quantum numbers n ≳ 1 and l = n - 1, which corresponds, as it is known, to circular orbits. Is the radial wave function Rn,n-1(r) of this state semiclassical? At first sight, no. Indeed, the radial quantum number nr = n - l - 1 is in this case in no way large, but is equal to zero, so that the wave function Rn,n-1(r) has no nodes at all.
| Original language | English |
|---|---|
| Title of host publication | Theoretical Kaleidoscope |
| Editors | I.B. Khriplovich |
| Pages | 23-44 |
| Number of pages | 22 |
| DOIs | |
| State | Published - 11 Jan 2008 |
| Name | Lecture Notes in Physics |
|---|---|
| Volume | 748 |
| ISSN (Print) | 0075-8450 |
ID: 36641376