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Time-dependent linear Hamiltonian systems and quantum mechanics

โœ Scribed by Jorge Rezende

Publisher
Springer
Year
1996
Tongue
English
Weight
337 KB
Volume
38
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

In this Letter, a theorem on time-dependent linear Hamiltonian systems is recalled and its connection with the SchrOdinger equation is discussed. The kernel of the evolution operator of such quantum systems is computed. Furthermore, the Lewis and Riesenfeld theory for systems with many degrees of freedom is generalized.

๐Ÿ“œ SIMILAR VOLUMES

Exact quantum theory of a time-dependent
Exact quantum theory of a time-dependent system with quadratic hamiltonian
โœ Alexander V. Zhukov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 46 KB

In the paper we present the following results: i exact wavefunctions are found for a system described by a quadratic ลฝ . ลฝ . Hamiltonian of the most general form; ii an exact quantum propagator is constructed for the above-mentioned system; iii the method used in the paper turns out to be essential