Автор |
Alexander V Bogdanov |
Автор |
Ashot S Gevorkyan |
Дата выпуска |
1997-11-07 |
dc.description |
The new perturbation theory for the problem of the nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zeroth-order approximation, the exact wavefunction of the harmonic oscillator with variable frequency in external field is used. Based on some intrinsic properties of unperturbed wavefunctions, the variational - iterational method is proposed, which makes it possible to correct both the amplitude and phase of the wavefunction. As an application, the first-order corrections are proposed for both the wavefunction and S-matrix elements for asymmetric perturbation potential of the type . The transition amplitude `ground state - ground state' is analysed in detail depending on the perturbation parameter (including the strong coupling region ) and the one-dimensional refraction coefficient . |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
New perturbation theory for the nonstationary anharmonic oscillator |
Тип |
paper |
DOI |
10.1088/0305-4470/30/21/015 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
30 |
Первая страница |
7413 |
Последняя страница |
7425 |
Выпуск |
21 |