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classical harmonic oscillator
相关语句
  经典谐振子
     The momentum-position uncertainty relation of the classical harmonic oscillator
     经典谐振子的动量-位置不确定关系
短句来源
     The one-dimentional classical harmonic oscillator is an su(1, 1) nonautonomous classical system which is an important model in physics.
     一维时间相关的经典谐振子是一个SU(1,1)非自治经典系统,是物理学中的一个重要模型。
短句来源
     One-dimensional time-dependent classical harmonic oscillator is a nonautonomous system with an SU(1,1) dynamical symmetry.
     一维时间相关的经典谐振子是一个SU(1,1)非自治经典系统,物理上十分有用,而数学上难于得到其精确解析解.
短句来源
     Analytic Exact Solution of One-Dimentional Nonautonomous Classical Harmonic Oscillator
     一维非自治经典谐振子的精确解析解
短句来源
     In this paper,the author deduces the momentum-position uncertainty relation of the classical harmonic oscillator,and gives the correspondence relation between it and the uncertainty relation of quantum harmonic oscillator.
     推出了经典谐振子的动量-位置不确定关系,并且给出它和量子谐振子的不确定关系之间的对应关系.
短句来源
  “classical harmonic oscillator”译为未确定词的双语例句
     In this dissertation, we study two typical examples of nonautonomous systems. One is the one-dimentional classical harmonic oscillator, the other is one-dimentional generalized Fokker-Planck equation.
     本文主要研究了非自治系统中具有代表性的两个例子,即非自治的一维经典谐振子模型和非自治的一维广义Fokker-Planck方程。
短句来源
     In the process of studying the one-dimentional classical harmonic oscillator, we address the question that how to get the exact solution of this system by means of algebraic dynamics.
     在一维经典非自治谐振子模型的研究中,我们利用代数动力学理论研究了这个系统的精确求解问题。
短句来源
  相似匹配句对
     The momentum-position uncertainty relation of the classical harmonic oscillator
     经典谐振子的动量-位置不确定关系
短句来源
     Harmonic Oscillator with Variable Mass
     变质量谐振子
短句来源
     Classical Analogies of Quantum Oscillator
     量子谐振子的经典类比
短句来源
     Classical Limit Analysis of Quantum Mechanics for Two dimensional Harmonic Oscillator
     二维谐振子量子力学的经典极限分析
短句来源
     Harmonic Oscillator with Complex Frequency
     复频率谐振子
短句来源
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  classical harmonic oscillator
Examples of the ground-like state and the coherent state of the classical harmonic oscillator are considered.
      
The notion of wave function of the classical harmonic oscillator is discussed.
      
His treatment of a classical harmonic oscillator clock falling into a singularity is checked in the present paper and is found to be insufficient to prove the above statement.
      
A parallel analysis of the classical harmonic oscillator is done with equivalent results.
      
The author has shown that a charged classical harmonic oscillator, when placed, in a random electromagnetic field with energy spectrum 4πhv3/c3, reproduces many properties of the quantum-mechanical ground state.
      
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One-dimensional time-dependent classical harmonic oscillator is a nonautonomous system with an SU(1,1) dynamical symmetry. By means of algebraic dynamics method, we have obtained its exact solution for the first time. As the time-dependent stiffness of the harmonic oscillator assumes some elementary functions, such as power functions, trigonal functions, exponential functions etc., the exact solutions become analytic. The recently proposed “analytic approximation solution” is proved to be a...

One-dimensional time-dependent classical harmonic oscillator is a nonautonomous system with an SU(1,1) dynamical symmetry. By means of algebraic dynamics method, we have obtained its exact solution for the first time. As the time-dependent stiffness of the harmonic oscillator assumes some elementary functions, such as power functions, trigonal functions, exponential functions etc., the exact solutions become analytic. The recently proposed “analytic approximation solution” is proved to be a good approximation to the corresponding analytic solution under some conditions.

一维时间相关的经典谐振子是一个SU(1,1)非自治经典系统,物理上十分有用,而数学上难于得到其精确解析解.首次把新颖的代数动力学方法用于经典动力学系统,得到了这个模型的一般精确解;当时间相关的弹性系数为某些初等函数时,给出了精确解的解析形式.这是关于这一问题的重要结果.从精确解出发,推导出最近文献中提出的“解析近似解”,并指出该近似解的适用条件.

In this paper,the author deduces the momentum-position uncertainty relation of the classical harmonic oscillator,and gives the correspondence relation between it and the uncertainty relation of quantum harmonic oscillator.

推出了经典谐振子的动量-位置不确定关系,并且给出它和量子谐振子的不确定关系之间的对应关系.

 
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