0185099 - UJF-V 20000269 RIV GB eng J - Journal Article
Znojil, Miloslav
New perturbation method with the matching of wave functions.
International Journal of Quantum Chemistry. Roč. 79, - (2000), s. 235-242. ISSN 0020-7608. E-ISSN 1097-461X
R&D Projects: GA AV ČR IAA1048004
Subject RIV: BE - Theoretical Physics
Impact factor: 1.317, year: 2000

We propose a new approach to the Rayleigh-Schrödinger perturbation expansions of bound states in quantum mechanics. Weare inspired by the enormous flexibility of solvable interactions with several (N) discontinuities. Their standard matching solution is modified and transferred in perturbation regime. We employ the global renormalization freedom of thelocal wave functions and derive a compact N-dimensional matrix formula for corrections. In applications, our recipe isshown non-numerical for all polynomial perturbations of anypiece-wise constant zero order potential.
Permanent Link: http://hdl.handle.net/11104/0081518