Abstract
In non-relativistic theory the hydrogen atom is one of the few cases for which the Schrödinger equation may be solved exactly. For this to be possible the proton and electron are assumed to be spinless, and the only role that the proton plays is to provide an attractive Coulombic potential; the finite mass of the proton may, of course, be taken into account by using a reduced mass for the electron.
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Bibliography
Solution of the Dirac equation for the hydrogen atom
Be the and Salpeter: pages 63–70.
Corinaldesi, E., and Strocchi, F. (1963), Relativistic Wave Mechanics, North-Holland, Amsterdam : part II, Chapters 8 and 9.
Dirac, P. A. M. (1958), Quantum Mechanics, Clarendon Press, Oxford: pages 269–273.
Rose: pages 157–181.
Sakurai: pages 122–131.
Comparison of Dirac and non-relativistic atomic orbitals
Bethe and Salpeter: pages 70–71.
Powell, R. E. (1968), ‘Relativistic quantum chemistry. The electrons and theNodes’, J. Chem. Fduc., 45, 558.
Szabo, A. (1969), ‘Contour diagrams for relativistic orbitals’, J. Chem. Educ., 46, 678.
The Lamb shift
Series, G. W. (1957), The Spectrum of Atomic Hydrogen, Clarendon Press, Oxford: pages 37–65.
Sikolov, A. A., Koskutov, Y. M., and Ternov, I. M. (1966), Quantum Mechanics, Holt, Rinehart and Winston, New York: pages 350–354.
The introduction of nuclear spin
Breit, G. (1930), ‘Possible effects of nuclear spin on X-ray terms’, Phys. Rev., 35, 1447: relativistic corrections to hyperfine splittings.
Rose: relativistic corrections to nuclear hyperfine splittings are discussed on pages 188–191.
Velenik, A., Živković, T., de Jeu, W. H., and Murrell, J. N. (1970), ‘The hydrogen atom in the presence of the Fermi contact interaction’, Molec. Phys., 18, 693: a demonstration that the Fermi contact operator taken to second order with non-relativistic atomic orbitals leads to an infinite hyperfine splitting.
Many-electron atoms
Grant, I. P. (1970), ‘Relativistic calculation of atomic structures’, Adv. Phys., 19, 747: a review of relativistic calculations on atoms.
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© 1973 R. E. Moss
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Moss, R.E. (1973). The Hydrogen Atom. In: Advanced Molecular Quantum Mechanics. Studies in Chemical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5688-9_11
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DOI: https://doi.org/10.1007/978-94-009-5688-9_11
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