caa a22 4500 445858745 CHVBK 20180317145436.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10946-011-9223-1 doi (NATIONALLICENCE)springer-10.1007/s10946-011-9223-1 Exact wave functions for generalized harmonic oscillators [Elektronische Daten] [Nathan Lanfear, Raquel López, Sergei Suslov] We transform the time-dependent Schrödinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time evolution of exact wave functions of generalized harmonic oscillators is determined in terms of the solutions of certain Ermakov and Riccatitype systems. In addition, we show that the classical Arnold transform is naturally connected with Ehrenfest's theorem for generalized harmonic oscillators. Springer Science+Business Media, Inc., 2011 time-dependent Schrödinger equation nationallicence generalized harmonic oscillators nationallicence Green's function nationallicence dynamic invariant nationallicence Ermakov-type equation and Pinney-type solution nationallicence Ehrenfest theorem nationallicence Arnold transform nationallicence Lanfear Nathan School of Mathematical & Statistical Sciences, Arizona State University, 85287-1904, Tempe, AZ, USA aut López Raquel Mathematical & Computational Modeling Sciences Center, Arizona State University, 85287-1804, Tempe, AZ, USA aut Suslov Sergei School of Mathematical & Statistical Sciences, Arizona State University, 85287-1904, Tempe, AZ, USA aut Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/4(2011-07-01), 352-361 1071-2836 32:4<352 2011 32 10946 https://doi.org/10.1007/s10946-011-9223-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10946-011-9223-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lanfear Nathan School of Mathematical & Statistical Sciences, Arizona State University, 85287-1904, Tempe, AZ, USA aut NATIONALLICENCE 700 1- López Raquel Mathematical & Computational Modeling Sciences Center, Arizona State University, 85287-1804, Tempe, AZ, USA aut NATIONALLICENCE 700 1- Suslov Sergei School of Mathematical & Statistical Sciences, Arizona State University, 85287-1904, Tempe, AZ, USA aut NATIONALLICENCE 773 0- Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/4(2011-07-01), 352-361 1071-2836 32:4<352 2011 32 10946 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer