caa a22 4500 463195337 CHVBK 20180406164921.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s10773-006-9050-2 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9050-2 SU(1,1) Lie Algebra Applied to the General Time-dependent Quadratic Hamiltonian System [Elektronische Daten] [J. Choi, I. Nahm] Exact quantum states of the time-dependent quadratic Hamiltonian system are investigated using SU(1,1) Lie algebra. We realized SU(1,1) Lie algebra by defining appropriate SU(1,1) generators and derived exact wave functions using this algebra for the system. Raising and lowering operators of SU(1,1) Lie algebra expressed by multiplying a time-constant magnitude and a time-dependent phase factor. Two kinds of the SU(1,1) coherent states, i.e., even and odd coherent states and Perelomov coherent states are studied. We applied our result to the Caldirola-Kanai oscillator. The probability density of these coherent states for the Caldirola-Kanai oscillator converged to the center as time goes by, due to the damping constant γ. All the coherent state probability densities for the driven system are somewhat deformed. Springer Science+Business Media, Inc., 2005 SU(1,1) Lie algebra nationallicence time-dependent quadratic Hamiltonian system nationallicence coherent states nationallicence Choi J. Department of Physics and Advanced Materials Science, Sun Moon University, 336-708, Asan, Republic of Korea aut Nahm I. Department of Physics and Advanced Materials Science, Sun Moon University, 336-708, Asan, Republic of Korea aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/1(2007-01-01), 1-15 0020-7748 46:1<1 2007 46 10773 https://doi.org/10.1007/s10773-006-9050-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9050-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Choi J. Department of Physics and Advanced Materials Science, Sun Moon University, 336-708, Asan, Republic of Korea aut NATIONALLICENCE 700 1- Nahm I. Department of Physics and Advanced Materials Science, Sun Moon University, 336-708, Asan, Republic of Korea aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/1(2007-01-01), 1-15 0020-7748 46:1<1 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer