Explain Quantum free electron theory engineering physics

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Engineering-Physics-06PHY12--BE-I-Semester--VTU-Belagaum-Unit-1-Modern-physics-->View question

Asked by:milan-ransingh

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The universe is made of Radiation(light) and matter(Particles).The light  exhibits the dual nature(i.e.,) it can behave s both as a wave [interference, diffraction phenomenon] and as a particle[Compton effect, photo-electric effect etc.,].
Since the nature loves symmetry was suggested by Louis deBroglie. He also suggests  an electron or any other material particle must exhibit wave like properties in addition to particle nature
         In mechanics, the principle of least action states” that a moving particle always chooses its path for which the action is a minimum”. This is very much analogous to Fermat’s principle of optics, which states that light always chooses a path for which the time of transit is a minimum.
 de Broglie suggested that an electron or any other material particle must exhibit wave like properties in addition to particle nature. The waves associated with a moving material particle are called matter waves, pilot waves or de Broglie waves.
  Schrödinger Wave Equation
  Schrödinger describes the wave nature  of a particle  in mathematical  form  and is known as Schrödinger wave equation. They  are ,
   1. Time dependent wave equation  and 
   2. Time independent wave equation. 

Answerd By:prajwalamv

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