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Time Translations and Hamiltonian

  • Umberto Lombardo,
  • Gianluca Giuliani,
  • Yifei Niu

摘要

In the latter of the three chapters devoted to the basic dynamical variables the Hamiltonian will be introduced as the generator of time translations. The time-dependent equation of motion will be derived as well as the Schr \(\ddot{\textrm{o}}\) dinger equation for stationary states. By solving the stationary equation for simple one-dimensional systems, remarkable quantum effects will be encountered, including the striking barrier penetr-ation, known as tunneling.