On the Schrödinger equation in ellipsoidal coordinates

Computer Physics Communications

Volumn 126, Issue 1-2, 2000, Pages 107-113

  Levitina, Tatiana ^a   Brändas, Erkki J ^b  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b UPPSALA UNIVERSITY   (Sweden)

Author keywords

Ellipsoidal coordinates; Optical theorem; Quantum scattering; Separation of the variables

Indexed keywords

ELECTRIC POTENTIAL; FUNCTIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; SCATTERING; WAVE EQUATIONS;

LAME WAVE FUNCTIONS; QUANTUM SCATTERING; SCHRODINGER EQUATION;

QUANTUM THEORY;

EID: 0034174166     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(99)00449-x     Document Type: Article

References (15)

1. T. Levitina, E.J. Brändas, The partial waves in the nonspherical case, Int. J. Quant. Chem. 60 (1996) 1217-1221.
2. T. Levitina, E.J. Brändas, Scattering by a potential separable in ellipsoidal coordinates, Int. J. Quant. Chem. 65 (1997) 601-608.
3. T. Levitina, E.J. Brändas, Perturbed ellipsoidal wave functions for quantum scattering, Int. J. Quant. Chem. 70 (1998) 1017-1022.
4. P.M. Morse, H. Feshbach, Methods of Theoretical Physics, Part 1 (McGraw-Hill, New York, 1953).
5. A.A. Abramov, A.L. Dyshko, N.B. Konyukhova, T.V. Levitina, Evaluation of Lamé angular wave functions by solving of auxiliary differential equations, Comput. Maths Math. Phys. 29 (3) (1989) 119-131.
6. A.A. Abramov, A.L. Dyshko, N.B. Konyukhova, T. V. Levitina, Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method, Comput. Maths Math. Phys. 31 (2) (1991) 25-42.
7. A.A. Abramov, A.L. Dyshko, N.B. Konyukhova, T.V. Levitina, A numerical-analytic investigation of the diffraction of a plane acoustic wave by ideal prolate spheroids and triaxial ellipsoids, Comput. Math. Math. Phys. 35 (9) (1995) 1103-1123.
8. J.W. Perram, P.J. Stiles, On the application of ellipsoidal harmonics to potential problems in molecular electrostatics and magnetostatics, Proc. Roy. Soc. London A 349 (1976) 125-139.
9. M. Aubert-Frécon, Spheroidal multipolar expansions for intermolecular energy in crystal theory, Chem. Phys. 34 (1978) 341-357.
10. D. Rinaldi, Lamé's functions and ellipsoidal harmonics for use in chemical physics, Computers and Chemistry 6 (4) (1982) 155-160.
11. H. Volkmer, Multiparameter Eigenvalue Problems and Expansion Theorems, Lectures Notes (Springer, Berlin, 1988).
12. L.P. Eisenhart, Enumeration of potentials for which one-particle Schrödinger equations are separable, Phys. Review 74 (1) (1948) 87-89.
13. I.V. Komarov, L.I. Ponomarev, S.Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions (Nauka, Moscow, 1976) [in Russian].
14. A.G. Sitenko, Lectures in Scattering Theory (Pergamon Press Ltd, New York, 1971).
15. L.P. Landau, E.M. Lifschitz, Quantum Mechanics, Nonrelativistic Theory (Pergamon Press Ltd, New York, 1958).