Coherent states for the Hydrogen atom
نویسنده
چکیده
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 expectation values remain 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 BohrSommerfield quantization. iv) They are almost minimum uncertainty wave packets in position and momentum. PACS No.(s) 03.65., 03.65.Ca, 32.80.Rm, 33.80.Rv Typeset using REVTEX ∗e-mail:[email protected] †e-mail:[email protected] 1
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Coherent States for the Hydrogen Atom
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