Skala, L. and Cizek, J. and Weniger, Ernst Joachim and Zamastil, J. (1999) Large-order behavior of the convergent perturbation theory for anharmonic oscillators. PHYSICAL REVIEW A, 59 (1). pp. 102-106. ISSN 1050-2947,
Full text not available from this repository. (Request a copy)Abstract
Using the large-order formula for the coefficients of the divergent weak-coupling series for the energy of the anharmonic oscillators, we derive a simple analytic large-order formula for the coefficients of the convergent renormalized strong-coupling series. This formula is valid for all the states of the anharmonic oscillators defined by the Hamiltonians H=p(2)+x(2)+beta x(2m) with m greater than or equal to 2. A further generalization of this formula is also proposed. Numerical tests of the formula are performed for the quartic, sextic, octic, and decadic oscillator with the help of asymptotic analysis. Further it is shown that the renormalized strong-coupling perturbation expansion converges for all the states of these oscillators and for all physically relevant beta epsilon [0,infinity). [S1050-2947(99)04901-X].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GROUND-STATE ENERGY; STRONG-COUPLING EXPANSION; NONADIABATIC CORRECTIONS; EIGENVALUES; SERIES; |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Dec 2022 09:18 |
| Last Modified: | 05 Dec 2022 09:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48727 |
Actions (login required)
 |
View Item |
