Correspondence identities II. The Bohr-Sommerfeld identity for the hydrogen atom
- 1 September 1968
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 1 (5) , 784-794
- https://doi.org/10.1088/0022-3700/1/5/304
Abstract
The Bohr-Sommerfeld identity between the hydrogen energy levels given by the old quantum theory and the actual energy levels is explained. The quantum-dynamical solution of the hydrogen-like problem is obtained for bound states in terms of sums over classical paths using the symmetric representation of Fock. The classical analogue of the Fock theory of the hydrogen atom is discussed. Schwinger's expression for the Green function is obtained in a new form.Keywords
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