Time-dependent Perturbation Theory in Quantum Mechanics

New Perturbation Algorithms for Time - Dependent

The averaging method for time-dependent quantum systems is used to construct quantum mechanical analogues of the perturbation expansions by Poincar e and by Kolmogorov for time-dependent operators. The resulting two perturbation algorithms are diierent from the usual time-dependent perturbation theory for quantum systems.

Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory*

Dynamic response determination of viscoelastic annular plates using FSDT – perturbation approach

In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...

2 . Time - dependent approximation methods

1 Time-dependent perturbation theory 1 1.1 Rotating frame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Perturbation expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 NMR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Periodic perturbations . . . . . . . . . . . . . . . . . ....

Duality in Perturbation Theory

Duality is applied to perturbation theory by deriving, given a series solution in a small parameter, the dual one expressed as a series having as a development parameter the inverse of the same parameter considered as large. Clues for a dual simmetry in perturbation theory are given. The method is applied in quantum mechanics to the Rayleigh-Schrödinger perturbation theory and to time-dependent...