QM Lecture 0

LECTURE-0     OPENING: How to describe the motion of particles
                                without using the concept of trajectories?

 Brief outline of the course
Classical electrodynamics (which visualizes electrons following trajectories  around the nucleus)
predicts that the atom is unstable, which does not agree with reality.

How to describe then the motion of particles without using the concept of trajectories?
Option-1:  Presenting the Schrodinger differential equation as a postulate.
Option-2:  (This course) Plausible derivation of the Schrodinger Eq. through the
                        concepts of  amplitude probability and the evolution operator.
                        Focus on how quantum states evolve with time.

                                                    The necessity of complex numbers to describe quantum mechanics    (Ref: MIT Lecture QM )                                      Reading assignment
                                                    Photons and the loss of determinism    If photons exist we lose predictability   (Ref: MIT Lecture QM )                    Reading assignment
                                                    ("Hidden variables" hypothesis, as a way to make quantum particles motion predictable, did not solve
                                                    the  problem of predectivility.)   

Additional Reading
                                                    Bell's inequality    In 1964 Bell established a restriction to particles subjected to  locality and realism.
                                                    Nobel prize in 1922 was awarded to Clauser, Aspect and Zeilinger who experimentally demonstrated that
                                                    quantum particles  violate Bell's inequality. Quantum Mechanics is incompatible with locality and realism.
                                                    Bell's Theorem and the Non-locality of the Universe  By Brian Greene, Columbia University
                                                    General Relativity was designed for local theories and Quantum Mechanics is a non-local theory
                                                    That si why it is hard to put togetehr Quantum Mechanis with Realtivity.