In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the interaction is based on deformed algebra. The equations of motion...
In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the interaction is based on deformed algebra. The equations of motion...
Simple harmonic motion (SHM) is a special case of periodic motion, where the only force is a restorative force and the motion is a simple oscillation. One of the basic properties of SHM is that the restoring force is directly proportional to the displacement from the equilibrium position. Retu...
We prove new results on the oscillation and nonoscillation of the Hill's equation with periodic damping x″+p(t)x′+q(t)x=0,t≥0 where p(t) and q(t) are continuous and periodic. 关键词: Hill's equation oscillation and nonoscillation periodic damping DOI: 10.1016/S0022-247X(03)00...
ionization-damped two-level systemnonlinear Riccati-type differential equationphoton-emission spectraWe formulate the problem of harmonic generation by a two-level system with ionization in terms of a nonlinear Riccati-type differential equation. Different simplified forms of this equation are solved ...
This is also an example of simple harmonic motion or SHM. What is SHM? The simple harmonic motion definition is that SHM is an oscillatory motion around an equilibrium point. An oscillation is a back and forth motion, and equilibrium is a state that a system can exist in. In equilibrium,...
Julian Hirniak, an early proponent of periodic chemical reaction for damped oscillations to its steady state flux (i.e., the Michaelis--Menten rate law), but that the oscillations are so highly damped as to be ... N Manz,Y Holovatch,J Tyson 被引量: 0发表: 2024年 加载更多来源...
and the mainstay of most elementary differential equations courses, the forced harmonic oscillator, mx′′+bx′+kx=f(t). We discuss these and more complicated relatives of these equations at length as we go along. First, however, we note that these equations are a special subclass of two-...
about its location along a linear straight line while it is pulled by a force that is directed towards the mean location and is proportional to the displacement from this location at any given time. This kind of motio...
Since excitons are strongly damped by interacting with defects, surfaces, and phonons, the predominant mechanism for absorption of energy from the incident photon is via damping of the exciton part of the exciton polariton inside the medium. The emission spectra of the relaxed exciton polaritons can...