Accurate summation of the perturbation series for periodic eigenvalue problems

European Physical Journal D

Volumn 15, Issue 1, 2001, Pages 41-46

  Fernandez F M ^a   Diaz, C G ^b  

^a FACULTAD DE CIENCIAS EXACTAS   (Argentina)

^b UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE SUMMATION; APPROXIMANTS; BRANCH POINTS; BRANCH POINTS IN THE COMPLEX PLANES; EIGEN-VALUE; MATHIEU'S EQUATION; PERIODIC EIGENVALUE PROBLEMS; PERIODIC PROBLEMS; PERTURBATION SERIES;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0035402771     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100530170181     Document Type: Article

References (14)

1. G.A. Arteca, F.M. Fernández, E.A. Castro, Large, order perturbation theory and summation methods in quantum mechanics (Springer, Berlin, 1990).
2. A.V. Sergeev, J. Phys. A 28, 4157 (1995).
3. A.V. Sergeev, D.Z. Goodson, J. Phys. A 31, 4301 (1998).
4. F.M. Fernández, R.H. Tipping, J. Mol. Struct. (Theochem) 488, 157 (1999).
5. P.R. Graves-Morris, Padé approximants (The Institute of Physics, London and Bristol, 1973).
6. N.W. McLachlan, Theory and application of Mathieu functions (Oxford University Press, 1947).
7. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, 9th edn. (Dover, New York, 1972).
8. H.P. Mulholland, S. Goldstein, Philos. Mag. 8, 834 (1929).
9. G. Blanch, D.S. Clemm, Math. Comp. 23, 97 (1969).
10. C. Hunter, B. Guerrieri, Stud. Appl. Math. 64, 113 (1981).
11. F.M. Fernández, E.A. Castro, J. Phys. B 20, L331 (1987).
12. C.M. Bender, S.A. Orszag, Advanced mathematical methods for scientists and engineers (McGraw-Hill, New York, 1978).
13. Maple 6 (Waterloo Maple Inc., 2000).
14. F.M. Fernández, Introduction to Perturbation Theory in Quantum Mechanics (CRC Press, Boca Raton, 2000).