dorsal/arxiv
View SchemaCoherent states for the hydrogen atom
| Authors | Pushan Majumdar, H. S. Sharatchandra |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708010 |
| URL | https://arxiv.org/abs/quant-ph/9708010 |
| DOI | 10.1103/PhysRevA.56.R3322 |
| Journal | Phys. Rev. A56 (1997) R3322 |
Abstract
We construct wave packets for the hydrogen atom labelled by the classical action-angle variables with the following properties. i) The time evolution is exactly given by classical evolution of the angle variables. (The angle variable corresponding to the position on the orbit is now non-compact and we do not get exactly the same state after one period. However the gross features do not change. In particular the wave packet remains peaked around the labels.) ii) Resolution of identity using this overcomplete set involves exactly the classical phase space measure. iii) Semi-classical limit is related to Bohr-Sommerfield quantization. iv) They are almost minimum uncertainty wave packets in position and momentum.
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"abstract": "We construct wave packets for the hydrogen atom labelled by the classical\naction-angle variables with the following properties. i) The time evolution is\nexactly given by classical evolution of the angle variables. (The angle\nvariable corresponding to the position on the orbit is now non-compact and we\ndo not get exactly the same state after one period. However the gross features\ndo not change. In particular the wave packet remains peaked around the labels.)\nii) Resolution of identity using this overcomplete set involves exactly the\nclassical phase space measure. iii) Semi-classical limit is related to\nBohr-Sommerfield quantization. iv) They are almost minimum uncertainty wave\npackets in position and momentum.",
"arxiv_id": "quant-ph/9708010",
"authors": [
"Pushan Majumdar",
"H. S. Sharatchandra"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.R3322",
"journal_ref": "Phys. Rev. A56 (1997) R3322",
"title": "Coherent states for the hydrogen atom",
"url": "https://arxiv.org/abs/quant-ph/9708010"
},
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