Double Slit FIG.2:Double slit experiments. .Classical mechanics:particles with total energy E can not arrive at places with E< v(). .Matter waves (Q.M.):matter wave can propagate into districts E<V(),but in that cases,the refraction index becomes imaginary. About Imaginary refraction inder:For light propagation,imaginary refraction index means dissipation,light wave will be attenuated in its course of propagation.For mat- ter waves,no meaning of dissipation,but matter wave will be attenuated in its course of propagation. II.STATISTICAL INTERPRETATION OF WAVE MECHANICS People tried hard to confirm the wave nature of micro-particles,and electron waves were first demonstrated by measuring diffraction from crystals in an experiment by Davison and Germer in 1925.They scattered electrons off a Nickel crystal which is the first experiment to show matter waves 3 years after de Broglie made his hypothesis.Series of other experiments provided more evidences,such as the double slit experiments using different particle beams: photons,electrons,neutrons,etc.and X-ray (a type of electromagnetic radiation with wavelengths of around 10-10 meters).Diffraction off polycrystalline material gives concentric rings instead of spots when scattered off single crystal.FIG. 2: Double slit experiments. • Classical mechanics: particles with total energy E can not arrive at places with E < V (~r). • Matter waves (Q.M.): matter wave can propagate into districts E < V (~r), but in that cases, the refraction index becomes imaginary. About Imaginary refraction index : For light propagation, imaginary refraction index means dissipation, light wave will be attenuated in its course of propagation. For mat￾ter waves, no meaning of dissipation, but matter wave will be attenuated in its course of propagation. II. STATISTICAL INTERPRETATION OF WAVE MECHANICS People tried hard to confirm the wave nature of micro-particles, and electron waves were first demonstrated by measuring diffraction from crystals in an experiment by Davison and Germer in 1925. They scattered electrons off a Nickel crystal which is the first experiment to show matter waves 3 years after de Broglie made his hypothesis. Series of other experiments provided more evidences, such as the double slit experiments using different particle beams: photons, electrons, neutrons, etc. and X-ray (a type of electromagnetic radiation with wavelengths of around 10−10 meters). Diffraction off polycrystalline material gives concentric rings instead of spots when scattered off single crystal. 7