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Alternative analysis to perturbation theory in quantum mechanics: Dyson series in matrix form
JUAN MARTINEZ CARRANZA
FRANCISCO SOTO EGUIBAR
Héctor Manuel Moya Cessa
Acceso Abierto
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Quantum mechanics
We develop an alternative approach to the time independent perturbation theory in nonrelativistic 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 alternative form of the Dyson series, in matrix form instead of integral form, is also obtained.
The European Physical Journal D
2012
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Público en general
Martínez Carranza, J., et al., (2012), Alternative analysis to perturbation theory in quantum mechanics: Dyson series in matrix form, The European Physical Journal D, Vol.66(22):1-6
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