Title :
Spectral and stability questions concerning evolution of non-autonomous linear systems
Author :
Nerurkar, Mahesh G.
Author_Institution :
Rutgers Univ., NJ, USA
Abstract :
The study of long time behaviour of quantum systems with time dependent Hamiltonians has received increasing attention. A number of numerical and theoretical studies are carried out for special systems (primarily rotors and oscillators) with time dependent external field. In this article we survey analytical results about such systems driven by stationary ergodic external fields
Keywords :
harmonic oscillators; linear differential equations; numerical analysis; quantum statistical mechanics; quantum theory; stability; analytical results; long time behaviour; nonautonomous linear systems evolution; numerical studies; oscillators; primarily rotors; quantum systems; spectral questions; stability questions; stationary ergodic external fields; time dependent Hamiltonians; time dependent external field; Equations; Extraterrestrial measurements; Fluid flow measurement; Hilbert space; Linear systems; Oscillators; Stability; Stochastic systems; Topology; Typesetting;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652476
