4) damping harmonic oscillator 阻尼谐振子 1. The Schr dinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator,and its solution is obtained by the separation of variables. 写出阻尼谐振子的哈密顿函数,对其直接量子化,用分离变量法得出了薛定谔方程的解...
In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schr"...
one of my graduate physics professors quipped that it couldn’t be a physics course with the simple harmonic oscillator. Our point of departure is the general formof the lagrangian of a systemnear its position of stable equilibrium, from which we deduce the equation of motion. We will then ...
Ermakov-Pinney equationIn this paper we have obtained the exact eigenstates of a two dimensional damped harmonic oscillator in time dependent noncommutative space. It has been observed that for some specific choices of the damping factor and the time dependent frequency of the oscillator, there ...
transform the GKSL equation into partial differential equations for functions of time and complex variables. Quantum entropy computations are also made and finally MATLAB simulation of the GKSL is made which yield exponentially decaying graphs of a damped harmonic oscillator for the norms of observable...
1.The Schr dinger equation is given directly from the classical Hamiltonian function of adamping harmonic oscillator,and its solution is obtained by the separation of variables.写出阻尼谐振子的哈密顿函数,对其直接量子化,用分离变量法得出了薛定谔方程的解。
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 Sec. 2 we review the Lindblad master equation for the damped harmonic oscillator and solve the master equation in coordinate representation. Then in Sec. 3 we investigate QD and in Sec. 4 we calculate the decoherence time of the system. We show that this time has the same scale as ...
Using this master equation we show that, apart from brief transients, the resonator always behaves like a damped harmonic oscillator with a shifted ... DA Rodrigues,AD Armour - 《New Journal of Physics》 被引量: 42发表: 2005年 加载更多研究点推荐 Forced Damped Harmonic Oscillator Fourier Series...
In this work, a suitable Hamiltonian that describes the damped harmonic oscillator is constructed. Besides, the Hamilton-Jacobi equation for this dissipative system is written and the action function is obtained. Then, the system is quantized using two methods: the WKB approximation and the canonical...