TY - JOUR
T1 - SU(1, 1) spectrum generating algebra for the quantum damped harmonic oscillator
AU - Barone, Vincenzo
AU - Penna, Vittorio
AU - Sodano, Pasquale
N1 - Funding Information:
Two of us (V.P. and P.S.) thank the Center for Nonlinear Studies (C.N.L.S.) of Los Alamos National Laboratory for providing the stimulating environment apt to start a scientific collaboration. During the course of our work, we enjoyed discussions with H. Umezawa, M. Rasetti, Y. Yamanaka and G. Vitiello. P.S. is grateful to N.A.T.O. and I.N.F.N. while V.P. thanks the “Fondazione Angelo della Riccia” for partial financial support during residence at the C.N.L.S.
PY - 1991/12/16
Y1 - 1991/12/16
N2 - Using the spectrum generating algebra method, we find the complete set of exact eigenstates for the quantum damped harmonic oscillator. The states which diagonalize our quantum mechanical model Hamiltonian are the Lindblad-Nagel states which provide an unitary irreducible representation of the SU(1, 1) algebra. We derive an integral representation of the Lindblad-Nagel states in terms of SU(1, 1) generalized coherent states. We discuss possible applications of this formula.
AB - Using the spectrum generating algebra method, we find the complete set of exact eigenstates for the quantum damped harmonic oscillator. The states which diagonalize our quantum mechanical model Hamiltonian are the Lindblad-Nagel states which provide an unitary irreducible representation of the SU(1, 1) algebra. We derive an integral representation of the Lindblad-Nagel states in terms of SU(1, 1) generalized coherent states. We discuss possible applications of this formula.
UR - https://www.scopus.com/pages/publications/26144445695
U2 - 10.1016/0375-9601(91)90541-F
DO - 10.1016/0375-9601(91)90541-F
M3 - Article
SN - 0375-9601
VL - 161
SP - 41
EP - 44
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -