Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1856805 | Annals of Physics | 2010 | 29 Pages |
Abstract
We construct integrals of motion for several models of the quantum damped oscillators in a framework of a general approach to the time-dependent Schrödinger equation with variable quadratic Hamiltonians. An extension of the Lewis-Riesenfeld dynamical invariant is given. The time-evolution of the expectation values of the energy-related positive operators is determined for the oscillators under consideration. A proof of uniqueness of the corresponding Cauchy initial value problem is discussed as an application.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Ricardo Cordero-Soto, Erwin Suazo, Sergei K. Suslov,