๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Instability of an Oscillator in a Field

โœ Scribed by G.V. Efimov; W. Vonwaldenfels


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
800 KB
Volume
233
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

โœฆ Synopsis


We discuss the origin of dissipation in a one-dimension model describing the interaction of a microsystem (an oscillator) with a bath (a quantized field). The Hamiltonian is a gauge-type coupling of the oscillator with the field and it is bounded below. Classical and quantum pictures are considered. Our formulation of the problem: what stable states are described by the total Hamiltonian if the excited states of the oscillator are unstable? How can these unstable states arise in a conservative system? The vacua of the free and the interacting systems are found in dipole approximation. The theory determines a formfactor which optimizes the contributions of the total Hamiltonian in dipole approximation. These two vacua generate equivalent representations of canonical commutation relations. As a result of the oscillatorfield interaction the stable states of this system consist of the vacuum (oscillator ground state) and quanta of the quantized field (bath). It means that the oscillator as a stable state can exist only in the ground state. Any excited oscillator states can be seen as resonances in the field-field scattering. 1994 Academic Press, Inc.


๐Ÿ“œ SIMILAR VOLUMES


PARAMETRIC INSTABILITY OF A COLUMN WITH
โœ C.-C. CHEN; M.-K. YEH ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 359 KB

This study investigates the dynamic instability behavior of a column carrying a concentrated mass with oscillating motion along the column axis. The dynamic equation of the column was derived based on the assumed-modes method. The derived dynamic equation, which contains parametrically excited terms