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Calculation of eigenvalues by Greens-functions and the Lippmann-Schwinger equation (1902.01624v1)
Published 5 Feb 2019 in quant-ph and physics.comp-ph
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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