Meissner, Holger and Steinborn, E. Otto (1997) A new iterative method for solving the time-independent Schrodinger equation based on the generalized bloch equation .1. Boson systems: The quartic anharmonic oscillator. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 61 (5). pp. 777-795. ISSN 0020-7608, 1097-461X
Full text not available from this repository.Abstract
The eigenvalue problem of the time-independent Schrodinger equation is solved as usual by expanding the eigenfunctions in terms of a basis set. However, the wave-function expansion coefficients (WECs), which are certain matrix elements of the wave operator, are determined by an iterative method. For these WECs, we deduced new nonlinear equations utilizing the concept of a reference space and the generalized Bloch equation for the wave operator. To test these equations, the method is used to calculate with great accuracy the energy eigenvalues of the ground state and first few excited states of the quartic anharmonic oscillator, whose Rayleigh-Schrodinger perturbation series diverges strongly for every nonzero coupling constant. (C) 1997 John Wiley & Sons, Inc.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COUPLED-CLUSTER THEORY; BODY PERTURBATION-THEORY; GROUND-STATE ENERGY; MODEL SYSTEMS; LARGE-ORDER; SPACE; SPECTRA; NUCLEI |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 May 2023 05:22 |
| Last Modified: | 17 May 2023 05:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51036 |
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