Very-high-Precision Normalized Eigenfunctions for a Class of Schrödinger Type Equations
We demonstrate that it is possible to compute wave function normalization constants for a class of Schr¨odinger type equations by an algorithm which scales linearly (in the number of eigenfunction evaluations) with the desired precision P in decimals.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334948Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2526
 A. Mushtaq, A. Noreen, K. Olaussen, and I. ├ÿverb├©, Very-high-precision solutions of a class of Schrdinger type equations, Computer Physics Communications, (in press) doi:10.1016/j.cpc.2010.12.046 (2011)
 J. Zinn-Justin, Expansion around instantons in quantum mechanics, J. Math Phys. 22, 511 (1981)
 C.M. Bender, K. Olaussen and P.S. Wang, Numerological analysis of the WKB approximation in large order, Physical Review D16, 1740 (1977)
 A collection is given in M. Abramowitz and I.A. Stegun, Handbook of mathematical functions, sect. 25.4, Dover Publications, (1970).
 Ibid, equation. 25.4.4
 ├ÿ. Tafjord, Master thesis, Institutt for fysikk, NTH 1994.
 B. Haible and R.B. Kreckel, CLN - Class Library for Numbers, http://www.ginac.de/CLN/