2born (2born) wrote,

Нахождение собственных значений с помощью функций Грина и уравнения Липпмана-Швингера

Всегда воспринимал уравнение Липпмана-Швингера как что-то чисто символическое, а тут - надо же! Очень интересно и, возможно, полезно:

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

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.
Comments: 8 pages, 6 figures
Tags: matlab, Мегаучебник или Что я читал и похвалил, наука, разгребая arXiv'ы

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