|
|||||
|
|
Perturbation theory with a tridiagonal zeroth-order hamiltonian |
|
| Affiliation: | 1. Department of Chemistry, Lomonosov Moscow State University, Leninskiye Gory 1-3, Moscow 119991, Russian Federation;2. Department of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskiye Gory 1-1, 119991 Moscow, Russian Federation;3. Gubkin Russian State University of Oil and Gas, Leninsky Prospekt 65, 119991 Moscow, Russian Federation |
| Abstract: | We generalize the Rayleigh-Schrödinger perturbation formalism to the hamiltonians H=H0+λH1 where the correction λH1 is small and the unperturbed operator H0 is represented by an infinite tridiagonal matrix. This enables us to construct the solutions E=E0+λE1+λ2E2+… and |ψ〉 = |ψ0〉+λ|ψ1〉+λ2|ψ2〉+… in terms of the analytic continued fractions. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |