21. The analogy to quantum harmonic oscillator provides solutions 22. For the harmonic oscillator , the time evolution of an arbitrary Wigner distribution is simple. 23. Mechanical examples include pendulums ( with analogous systems include electrical harmonic oscillators such as RLC circuits. 24. The quantum harmonic oscillator is an exactly solvable system where the different representations are easily compared. 25. We can extend the notion of a harmonic oscillator to a one lattice of many particles. 26. :: Actually this science was developed to understand Pulsars, which are relitivistic harmonic oscillators . 27. The first is that each lattice vibrational mode is well described by a quantum harmonic oscillator . 28. An LC circuit can be quantized using the same methods as for the quantum harmonic oscillator . 29. According to the virial theorem the mean kinetic and potential energies in harmonic oscillator are equal. 30. The simplest description of this decay process can be illustrated by oscillation decay of the harmonic oscillator .