Parametric evolution, addition of boundstates and generalised Lax hierarchies
Mathematical Physics
2018-09-17 v2 math.MP
Quantum Physics
Abstract
The connection of the 'time' evolution of the eigenstates of the reflectionless potentials of the Lax hierarchy to the more general case of the 'time' evolution of the eigenstates of the Schroedinger equation for potentials with non-vanishing reflection coefficients is explored. A new hierarchy of functions satisfying 'time' dependent equations is established.
Keywords
Cite
@article{arxiv.1206.5979,
title = {Parametric evolution, addition of boundstates and generalised Lax hierarchies},
author = {C. V. Sukumar},
journal= {arXiv preprint arXiv:1206.5979},
year = {2018}
}
Comments
10 pages. Typographical mistakes in the earlier version are corrected. arXiv admin note: text overlap with arXiv:1206.5978