WKB and exact wave functions for inverse power-law potentials

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 228, Issue 3, 1997, Pages 127-133

  Trost, J ^a   Friedrich, H ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Modified WKB approximation; Reflection phases; Scattering phase shifts; Singular potentials

Indexed keywords

ALGEBRAIC FORMULAS; HARMONIC OSCILLATORS; HIGH-ACCURACY; INVERSE POWER LAW; REFLECTION PHASIS; SINGULAR POTENTIALS; WKB APPROXIMATIONS;

WAVE FUNCTIONS;

EID: 0346047375     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00115-1     Document Type: Article

References (16)

1. W.M. Frank, D.J. Land and R.M. Spector, Rev. Mod. Phys. 43 (1971) 36.
2. V.C. Aguilera-Navarro, G.A. Estevez and R. Guardiola, J. Math. Phys. 31 (1990) 99.
3. V.C. Aguilera-Navarro and R. Guardiola, J. Math. Phys. 32 (1991) 2135.
4. H.G. Miller, J. Math. Phys. 35 (1994) 2229.
5. H. Friedrich and J. Trost, Phys. Rev. Lett. 76 (1996) 4869.
6. H. Friedrich and J. Trost, Phys. Rev. A 54 (1996) 1136.
7. L.D. Landau and E.M. Lifschitz, Quantum mechanics (Non-relativistic theory) (Pergamon, Oxford, 1965).
8. M.V. Berry and K.E. Mount, Rep. Prog. Phys. 35 (1972) 312.
9. N. Fröman and P.O. Fröman, in: Springer tracts in modern philosophy, Vol. 40. Phase integral method, ed. C. Truesdell (Springer, New York, 1996).
10. N. Fröman and K. Thylwe, J. Math. Phys. 20 (1979) 1716.
11. O. Brander, J. Math. Phys. 22 (1981) 1229.
12. L. Bertocchi, S. Fubini and G. Furlan, Nuovo Cimento 35 (1965) 633.
13. J. Trost, Doctoral Thesis, Technische Universität München (1996).
14. M. Abramowitz and I.A. Stegun, Handbook of mathematical functions (Dover, New York, 1972).
15. E.M. Harrell, Ann. Phys. 105 (1977) 379.
16. H. Guerin, J. Phys. B 29 (1996) 1285.