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Parametric evolution, addition of boundstates and generalised Lax hierarchies

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.
Publication status:
Published
Peer review status:
Not peer reviewed

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Publisher copy:
10.48550/arXiv.1206.5979

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Wadham College
Role:
Author

Host title:
arXiv
Publication date:
2012-06-26
DOI:

Language:
English
Pubs id:
pubs:354441
UUID:
uuid:442a0f69-51b0-4b33-9a12-058465c8f32e
Local pid:
pubs:354441
Source identifiers:
354441
Deposit date:
2013-11-17

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