- Autor(in)
- Referenz
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10 Wilenkin, N. Ya., Special functions and the theory of group representations. "Nauka", Moscow 1965.
11 Wigner, E. P., Group Theory. Ch. 3, Academic Press. New York, 1959.
12 Edmonds, A. R., Angular momentum in quantum mechanics, Ch. 4, Princeton University Press, Princeton 1957.
13 Heitler, W., The Quantum Theory of Radiation. Oxford, 1954, Ch. 1, § 6.
14 Rose, M. E., Multipole fields, § 12, John Wiley and Sons, New York 1955.
1 Born, M., u. J. Oppenheimer, Ann. Physik 84 (1927) 457;
2 Davydov, A. S., Quantum Mechanics, § 116, GIMFL, Moscow 1963.
3 Ponomarev, L. I., Quantum-mechanical problem of three bodies interacting according to the Coulomb law. Preprint JINR P 4 - 3011, Dubna, 1966.
4 Eyges, L., J. Math. Phys. 6 (1965) 1320.
5 van Kampen, N. G., Dan. Mat. Fys. Medd. 26 (1951) No. 15.
6 Morse, Ph. M., and H. Feshbach, Methods of Theoretical Physics, p. II, McGraw Hill Book Co., New York 1953.
7 Flammer, C., Spheroidal wave functions. Stanford, California, 1957.
8 Smirnov, V. I., Course on Higher Mathematics. v. Y, Ch. V, § 2, [164]. GIMFL, Moscow 1959.
9 Watson, G. N., A Treatise on the Theory of Bessel Functions, 1945, v. I, Ch. Y, (5.51).
JETP 52 (1967) 1550.
R. L. de Kronig, Z. Physik 50 (1928) 347.
- Seitenbereich
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0225 - 0234
- Zusammenfsg.
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It is known that the scattering of a low-energy particle by a potential of a small radius of action is satisfactorily described by the <I>s</I>-wave alone. In the present paper we give a method for obtaining functions by means of which the scattering of particle on two localized potentials separated by an arbitrary distance 2<I>d</I> can be described with the aid of two waves alone. Two-point solenoidal vector functions are also obtained. In the case of two centers they play the same role as the well-known electric and magnetic multipoles in one-centre problems (for example, problems of scattering or emission of a photon in the dipole approximation).
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- Forschungsartikel