Alternative analysis to perturbation theory

Details Alternative analysis to perturbation theory Alternative analysis to perturbation theory

2011-10-04

arxiv.org/abs/1110.0723v1

Physics

Quantum Physics

12 pages, no figures

Scientific paper

We develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function, additionally we can analyze the time evolution of the system. To verify our results, we apply our method to the harmonic oscillator perturbed by a quadratic potential. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained.

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