Meissner, Holger and Steinborn, E. Otto (1997) Quartic, sextic, and octic anharmonic oscillators: Precise energies of ground state and excited states by an iterative method based on the generalized Bloch equation. PHYSICAL REVIEW A, 56 (2). pp. 1189-1200. ISSN 2469-9926, 2469-9934
Full text not available from this repository.Abstract
Recently, we proposed an iteration method for solving the eigenvalue problem of the time-independent Schrodinger equation [H. Meissner and E. O. Steinborn, Int. J. Quantum Chem. 61, 777 (1997)]. This method, which is based on the generalized Bloch equation, calculates iteratively certain matrix elements of the wave operator which are the wave-function expansion coefficients (WECs). It is valid for boson as well as fermion systems. In this article we show that the WEC-iteration method, together with a renormalization technique, allows us to calculate energy eigenvalues for the ground state and excited states of the quartic, sextic, and octic anharmonic oscillator with very high accuracy. In order to overcome slow convergence in the iteration scheme we use a renormalization technique introduced by F. Vinette and J. Cizek [J. Math. Phys. (N.Y.) 32, 3392 (1991)] and show that this method is equivalent to the renormalization scheme based on the Bogoliubov transformation [N. N. Bogoliubov, Izv. Akad. Nauk SSSR, Ser. Fit. 11, 77 (1947)] which is frequently used for the treatment of anharmonic oscillators in second quantization.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COUPLED-CLUSTER METHOD; PERTURBATION-THEORY; HOLOMORPHIC REPRESENTATION; LARGE-ORDER; SPECTRA; NUCLEI |
| Subjects: | 500 Science > 530 Physics 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Apr 2023 06:19 |
| Last Modified: | 25 Apr 2023 06:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50682 |
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