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Quantum mechanics of rectilinear orbits of the Coulomb-Kepler problem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Rauh, Alexander |
| Copyright Year | 2017 |
| Abstract | Based on coherent states of the reversed harmonic oscillator, a wave function is proposed with the following three properties: (1) The mean values of position, r0, and velocity, v0, are parallel to the x axis; (2) The wave function is extended by a curve parameter w ≥ 0 such that, as a function of w, the mean values rw and vw describe a rectilinear orbit along the x axis with the mean initial values r0 and v0; (3) The mean energy is constant with respect to w by the leading order of the perturbation parameter ∈. For comparison, the classical one-dimensional equation of motion is integrated. Exact analytical equivalence between classical and the ∈ = 0 quantum limit is found, both for positive and negative mean energy. The curve parameter w is in 1-1 correspondence with time t ≥ 0. |
| Starting Page | 129 |
| Ending Page | 150 |
| Page Count | 22 |
| File Format | PDF HTM / HTML |
| DOI | 10.12988/astp.2017.7520 |
| Alternate Webpage(s) | http://www.m-hikari.com/astp/astp2017/astp5-8-2017/p/rauhASTP5-8-2017.pdf |
| Alternate Webpage(s) | http://www.m-hikari.com/astp/astp2018/astp1-4-2018/p/rauhASTP1-4-2018.pdf |
| Alternate Webpage(s) | https://doi.org/10.12988/astp.2017.7520 |
| Volume Number | 11 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
