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视频：南京大学大学物理学第41讲 Simple harmonic oscillator。
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
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...
A semiclassical heat trace expansion for the perturbed harmonic oscillator
semiclassical heat trace expansion the perturbed harmonic oscillator Spectral Theory
2011/9/9
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...
Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
the quantum damped harmonic oscillator pseudo-bosons
2011/7/26
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...
Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems
Lyapunov Instability Covariant Lyapunov Spectrum Gram-Schmidt Orthonormalization
2011/7/6
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....
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator
quantum Hamiltonians superintegrability exchange operators supersymmetry
2011/2/21
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.
Decoherence in a quantum harmonic oscillator monitored by a Bose-Einstein condensate
Decoherence quantum harmonic oscillator monitored Bose-Einstein condensate
2010/11/9
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...
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
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, ...
Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
Transient energy shortcuts adiabaticity time dependent harmonic oscillator
2010/10/21
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...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
2010/4/8
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. ...
Partition function of the harmonic oscillator on a noncommutative plane
Harmonic oscillator noncommutaty two-body
2010/4/8
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...
(3+1)-Dimensional Quantum Mechanics from Monte Carlo Hamiltonian:
Harmonic Oscillator
Monte Carlo method quantum mechanics computational
physics
2007/8/15
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...
Two-Variable Hermite Function as Quantum Entanglement of Harmonic
Oscillator's Wave Functions
two-variable Hermite function quantum entanglement
Bargmann representation Schmidt decomposition
2007/8/15
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...
Anisotropic Harmonic Oscillator in a Static Electromagnetic Field
anisotropic harmonic oscillator electromagnetic field exact
solutions coherent states squeezed states
2007/8/15
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...
Even and Odd Coherent States for Time-Dependent Harmonic Oscillator
even and odd coherent states time-dependent harmonic
oscillator dynamical invariant
2007/8/15
2002Vol.38No.1pp.25-30DOI:
Even and Odd Coherent States for Time-Dependent Harmonic Oscillator
WEI Lian-Fu,1 YANG Qing-Yi,2 and WANG Shun-Jin3,4
1 Department of Physics,...