Schrodinger equation as recurrences. III. Partitioning approach
- 1 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (8) , 1611-1624
- https://doi.org/10.1088/0305-4470/17/8/017
Abstract
For pt.II see ibid., vol.17, no.8, p.1603-10 (1984). In the generalised Lanczos basis, the author partitions the Hamiltonian to tridiagonal form and, mutatis mutandis, apply the ideas of I and II. It solves the Schrodinger eigenvalue problem again. The resulting method modifies and complements the formalism and simplifies its use and interpretation. As an example of application, the unique asymptotical effective Hamiltonian is derived. Also, for the anharmonic oscillators, the convergence of its continued fractional definition is proved and the compact formula for the higher-order asymptotic corrections is found.Keywords
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