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视频:南京大学大学物理学第41讲 Simple harmonic oscillator
The damped harmonic oscillator under symmetric L\'{e}vy white noise shows inhomogeneous phase space, which is in contrast to the homogeneous one of the same oscillator under the Gaussian white noise, ...
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Abstract: In this paper we study a semiclassical heat trace expansion for perturbations of the harmonic oscillator, by adapting to the semiclassical setting techniques developed by Hitrik and Polterov...
Abstract: It is known that a self-adjoint, time-independent hamiltonian can be defined for the quantum damped harmonic oscillator. We show here that the two vacua naturally associated to this operator...
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions re- spectively....
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
We investigate the dynamics of a quantum oscillator, whose evolution is monitored by a Bose-Einstein condensate (BEC) trapped in a symmetric double well potential. It is demonstrated that the oscillat...
We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...
There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy exci...
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...
We derive the partition function of the one-body and two-body systems of classical noncommutative harmonic oscillator in two dimensions. Then, we employ the path integral approach to the quantum nonco...
2001Vol.36No.1pp.7-10DOI: (3+1)-Dimensional Quantum Mechanics from Monte Carlo Hamiltonian: Harmonic Oscillator LUO Xiang-Qian,1,3 XU Hao,1 YANG Jie-Chao,2 WANG Yu-Li,2 CHANG Di...
2007Vol.47No.6pp.1024-1028DOI: Two-Variable Hermite Function as Quantum Entanglement of Harmonic Oscillator's Wave Functions LU Hai-Liang and FAN Hong-Yi Department of P...
2002Vol.38No.6pp.667-674DOI: Anisotropic Harmonic Oscillator in a Static Electromagnetic Field LIN Qiong-Gui Department of Physics, Sun Yat-Sen (Zhongshan) University, G...

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