Autor:	Lanfear, Nathan, Lopez, Raquel M., Suslov, Sergei K.
Rok vydání:	2011
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We transform the time-dependent Schroedinger 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 solutions of certain Ermakov and Riccati-type systems. In addition, we show that the classical Arnold transformation is naturally connected with Ehrenfest's theorem for generalized harmonic oscillators. Comment: 10 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.5119 Zobrazit plný text záznamu View this record from Arxiv