Quasi exactly solvable quantum lattice solitons

Details Quasi exactly solvable quantum lattice solitons Quasi exactly solvable quantum lattice solitons

2004-12-22

arxiv.org/abs/quant-ph/0412174v2

Int.J.Mod.Phys. A21 (2006) 1221-1238

Physics

Quantum Physics

19 pages, 2 figures, results extended

Scientific paper

10.1142/S0217751X06025316

We extend the exactly solvable Hamiltonian describing $f$ quantum oscillators considered recently by J. Dorignac et al. by means of a new interaction which we choose as quasi exactly solvable. The properties of the spectrum of this new Hamiltonian are studied as function of the new coupling constant. This Hamiltonian as well as the original one are also related to adequate Lie structures.

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