Defects in the discrete non-linear Schrodinger model - INSPIRE

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Defects in the discrete non-linear Schrodinger model

Anastasia Doikou
(
- Patras U.
)

Jun, 2011

18 pages

Published in:

Nucl.Phys.B 854 (2012) 153-165

Published: 2012

e-Print:

1106.1602 [hep-th]

DOI:

10.1016/j.nuclphysb.2011.08.015

View in:

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Abstract: (Elsevier)

The discrete non-linear Schrödinger (NLS) model in the presence of an integrable defect is examined. The problem is viewed from a purely algebraic point of view, starting from the fundamental algebraic relations that rule the model. The first charges in involution are explicitly constructed, as well as the corresponding Lax pairs. These lead to sets of difference equations, which include particular terms corresponding to the impurity point. A first glimpse regarding the corresponding continuum limit is also provided.

Note:

18 pages, Latex. Comments and clarifications introduced. One reference added

defect: integrability
pair: Lax
Schroedinger equation: nonlinear
continuum limit
constraint: algebra
Hamiltonian
monodromy
Poisson
transfer matrix

References(24)

Figures(0)

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