RT Journal Article
T1 Quasi-exactly solvable models in nonlinear optics
A1 Álvarez Galindo, Gabriel
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
AB We study a large class of models with an arbitrary (finite) number of degrees of freedom, described by Hamiltonians which are polynomial in bosonic creation and annihilation operators, and including as particular cases nth harmonic generation and photon cascades. For each model, we construct a complete set of commuting integrals of motion of the Hamiltonian, fully characterize the common eigenspaces of the integrals of motion and show that the action of the Hamiltonian on these common eigenspaces can be represented by a quasiexactly solvable reduced Hamiltonian, whose expression in terms of the usual generators of sl_2 is computed explicitly.
PB IOP Publishing
SN 0305-4470
YR 2002
FD 2002-10-18
LK https://hdl.handle.net/20.500.14352/59719
UL https://hdl.handle.net/20.500.14352/59719
LA eng
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RD 2 may 2024