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[CNG/QM-LECTURE-01] Discovering Hilbert Space Part-I

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In this two part lectures, we provide an understanding of vectors appearing as the description of physical states. In the  first part we draw attention to the fact that states, dynamical variables and laws of motion are present as part of every physical theory. We illustrate this with examples of Newtonian mechanics and classical mechanics.

We then go over to the conceptual changes brought in by the process of transition to quantum theory.

The conceptual changes  that have important implications are

  • Wave particle duality
  • Principle of superposition of states 
  • Indeterminacy and probabilistic nature of physical theory
  • Simultaneous measurement and the uncertainty principle

 

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