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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...
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...
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...
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,...
Nonzero Temperature Squeezing of the Time-Dependent Harmonic
Oscillator and the Applications to the Capacitive Coupled Electric Circuit
mesoscopic electric circuit quantum fluctuation
squeezing thermal effect
2007/8/15
2002Vol.37No.5pp.519-522DOI:
Nonzero Temperature Squeezing of the Time-Dependent Harmonic
Oscillator and the Applications to the Capacitive Coupled Electric Circuit
LIANG Mai-Lin ...
Density Matrix and Squeezed Vacuum State for General Coupling
Harmonic Oscillator
density matrix squeezed
vacuum state coupling harmonic oscillator
2007/8/15
2003Vol.40No.5pp.523-526DOI:
Density Matrix and Squeezed Vacuum State for General Coupling
Harmonic Oscillator
SONG Tong-Qiang
Department of Physics, Ningbo University,...
Propagator for a Time-Dependent Damped Harmonic Oscillator with a Force
Quadratic in Velocity
force quadratic in velocity time-dependent damped harmonic oscillator
coordinate transformation method of time-dependent invariant propagator
2007/8/15
2003Vol.39No.2pp.155-156DOI:
Propagator for a Time-Dependent Damped Harmonic Oscillator with a Force
Quadratic in Velocity
HUANG Bo-Wen,1 GU Zhi-Yu,1 and QIAN Shang-Wu2
...
Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential
Smoluchowski equation probability distribution diffusive current
2007/8/15
2005Vol.43No.6pp.1099-1104DOI:
Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential
SUN Xiao-Jun,1,2 LU Xiao-Xia,1 YAN Yu-Liang,1
DUAN Jun-Feng,1 and ZHA...