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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 7, Number 3, Pages 342–347
(Mi tmf4316)
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This article is cited in 4 scientific papers (total in 4 papers)
Generalized coulomb Green's function for bound states of the nonrelativistic Schrödinger equation
A. I. Sherstyuk
Abstract:
The well-known closed expression for the Coulomb Green's function in the coordinate representation in terms of Whittaker functions is used to obtain an explicit expression for a generalized Coulomb Green's function for an arbitrary bound state of the nonretativistic Schrödinger equation in the three-dimensional case. Formulas are derived that express the corrections of the higher orders of perturbation theory in terms of the generalized Green's function.
Received: 04.05.1970 Revised: 01.09.1970
Citation:
A. I. Sherstyuk, “Generalized coulomb Green's function for bound states of the nonrelativistic Schrödinger equation”, TMF, 7:3 (1971), 342–347; Theoret. and Math. Phys., 7:3 (1971), 579–583
Linking options:
https://www.mathnet.ru/eng/tmf4316 https://www.mathnet.ru/eng/tmf/v7/i3/p342
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