Alternative analysis to perturbation theory in quantum mechanics

  title={Alternative analysis to perturbation theory in quantum mechanics},
  author={Juan Martinez-Carranza and Francisco Soto-Eguibar and H{\'e}ctor Manuel Moya-Cessa},
  journal={The European Physical Journal D},
Abstract We develop an alternative approach to the 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 for any initial condition, which may be bothersome in the standard method. To verify our results, we apply our method to the harmonic oscillator perturbed by a quadratic potential. An… 

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