A form invariance of Raitzin's canonical equations of relativistie mechanical system is studied. First, the Raitzin's canonical equations of the system are established. Next, the definition and criterion of th...A form invariance of Raitzin's canonical equations of relativistie mechanical system is studied. First, the Raitzin's canonical equations of the system are established. Next, the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given. Finally,the relation between the form invariance and the conserved quantity of the system is obtained and an example is given to illustrate the application of the result.展开更多
We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in sq...We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in squeezed state and exact diagonalization methods and acts as the exact solution of such a system. A comparison of these two models for different mass ratios between the 'classical' particle and the quantum particle is done, which gives a criterion when using the quantum-semiclassical model.展开更多
文摘A form invariance of Raitzin's canonical equations of relativistie mechanical system is studied. First, the Raitzin's canonical equations of the system are established. Next, the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given. Finally,the relation between the form invariance and the conserved quantity of the system is obtained and an example is given to illustrate the application of the result.
文摘We consider a simple collinear collision ofa 'classical' particle with a harmonic oscillator within quantum semiclassical model and full quantum dynamics model, in which the latter is solved analytically in squeezed state and exact diagonalization methods and acts as the exact solution of such a system. A comparison of these two models for different mass ratios between the 'classical' particle and the quantum particle is done, which gives a criterion when using the quantum-semiclassical model.
