Abstract
So far, we have not solved many perturbed Coulomb problems by conventional perturbation theory, that is, by the conventional radial and angular functions. The difficulty here is that perturbation terms which are functions of the radial coordinate, r, lead to an infinite number of nonzero matrix elements, connecting a bound state of definite, n, to all other bound states, as well as to the full spectrum of continuum states. The complete set of states includes both the bound states and the continuum states.
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© 2000 Springer Science+Business Media New York
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Hecht, K.T. (2000). Perturbed Coulomb Problems via SO(2,1) Algebra. In: Quantum Mechanics. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1272-0_35
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DOI: https://doi.org/10.1007/978-1-4612-1272-0_35
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4612-1272-0
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