Schrodinger equation as recurrences. II. General solutions and their physical asymptotics
- 1 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (8) , 1603-1610
- https://doi.org/10.1088/0305-4470/17/8/016
Abstract
For pt.I see ibid., vol.16, no.17, p.4001-11 (1983). The general Schrodinger equation is converted into equivalent (2t+1)-term recurrences by the generalised Lanczos construction of the basis. Then, the exact bound states are given by the t-parametric determinantal formula. Finally, the values of the free parameters are shown to follow from the Hill type normalisability requirement.Keywords
This publication has 9 references indexed in Scilit:
- Schrodinger equation as recurrences. I. Band-matrix HamiltoniansJournal of Physics A: General Physics, 1983
- The recursion method of a linear operator inversion. IIIJournal of Physics A: General Physics, 1983
- Potential r2+λr2/(1+gr2) and the analytic continued fractionsJournal of Physics A: General Physics, 1983
- Exact solutions of the Schrodinger equation (-d/dx2+x2+ λx2/(1 +gx2))ψ(x) =Eψ(x)Journal of Physics A: General Physics, 1982
- Eigenvalue MethodPhysical Review Letters, 1982
- Kinetic few-body propagator by exact inversionJournal of Physics A: General Physics, 1980
- Generalized method of a resolvent operator expansion. IIIJournal of Mathematical Physics, 1980
- A matrix continued-fraction solution for the anharmonic-oscillator eigenvaluesLettere al Nuovo Cimento (1971-1985), 1975
- An iteration method for the solution of the eigenvalue problem of linear differential and integral operatorsJournal of Research of the National Bureau of Standards, 1950