Boundary conditions for integrable quantum systems. (English) Zbl 0685.58058

Sklyanin, E. K.

J. Phys. A 21, No. 10, 2375-2389 (1988).

MSC:

81R12	Groups and algebras in quantum theory and relations with integrable systems
37K15	Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37N20	Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
82B20	Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B23	Exactly solvable models; Bethe ansatz

Keywords:

R-matrix; open quantum chains; nonlinear Schrödinger equation; Toda chain