Industrial Mathematics and Complex Systems by Pammy Manchanda René Lozi & Abul Hasan Siddiqi

Author:Pammy Manchanda, René Lozi & Abul Hasan Siddiqi
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

for all for all j, k=1,2, ...,N and The solution of the Schrdinger equation in in this case will have Bethe ansatz form:

where the summation extends over all permutations P of an ordered of N numbers , and a(P) are certain coefficients depending on P:

In [5] using the ideas of Bethe ansatz given a method to solve the time-dependent Schrdinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. Authors of [5] considered the problem of the solution of time-dependent Schrdinger equation:

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