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arXiv · 1902.01624

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

Alexander Jurisch
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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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Alexander Jurisch. 2019-02-05. Calculation of eigenvalues by Greens-functions and the Lippmann-Schwinger equation. https://arxiv.org/abs/1902.01624

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