The Generalized non-linear Schrodinger model on the interval
Jun, 2007
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Abstract: (Elsevier)
The generalized ( 1 + 1 ) - D non-linear Schrödinger (NLS) theory with particular integrable boundary conditions is considered. More precisely, two distinct types of boundary conditions, known as soliton preserving (SP) and soliton non-preserving (SNP), are implemented into the classical g l N NLS model. Based on this choice of boundaries the relevant conserved quantities are computed and the corresponding equations of motion are derived. A suitable quantum lattice version of the boundary generalized NLS model is also investigated. The first non-trivial local integral of motion is explicitly computed, and the spectrum and Bethe ansatz equations are derived for the soliton non-preserving boundary conditions.- Schroedinger equation: nonlinear
- dimension: 2
- boundary condition
- integrability
- Hamiltonian formalism
- symmetry breaking
- Yang-Baxter equation
- soliton
- Bethe ansatz
- lattice
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