Calculation of eigenvalues by Greens-functions and the Lippmann-Schwinger equation

2019/02/05 by Jurisch, Alexander
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1902.01624

Abstract

We calculate eigenvalues of one-dimensional quantum-systems by the exact numerical solution of the Lippmann-Schwinger equation, analogous to the scattering problem. To illustrate our method, we treat elementary problems: the harmonic and quartic oscillator, a symmetric and a skew double-well potential, and potentials with finite and infinite depth. Furthermore, we show how our method can be used for eigenvalue-engineering.

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