We use an alternative approach to solve the quantum problem of the Ablowitz-Ladik system. This approach is simpler than the standard quantum inverse scattering method and it is based on the existence, in the symmetry algebra, of an invariant operator with finite dimensional eigenspaces. This makes the quantum problem equivalent to the diagonalization of finite matrices, a problem which is easily solved on a computer.
A NEW METHOD TO SOLVE THE QUANTUM ABLOWITZ-LADIK SYSTEM
SALERNO, Mario
1992
Abstract
We use an alternative approach to solve the quantum problem of the Ablowitz-Ladik system. This approach is simpler than the standard quantum inverse scattering method and it is based on the existence, in the symmetry algebra, of an invariant operator with finite dimensional eigenspaces. This makes the quantum problem equivalent to the diagonalization of finite matrices, a problem which is easily solved on a computer.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
