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QM-10  Schrodinger Equation in Coordinate Representation

• \(\S 11.1\) Conservation of probability
• \(\S 11.2\) Schrodinger equation for a charged particle
• \(\S 11.3\) Time reversal symmetry
• \(\S 11.4\) Solution of time dependent Schrodinger equation

This course aims to introduce wave mechanics with minimal mathematics preparation. No vector spaces are required as prerequisite.

The postulates are adopted  for a wave mechanical treatment ofa single particle moving in a potential. Formal vector spaces and abstract approach can be taken up at a later stage of learning.

This course is suitable for those who want to come to Schrodinger equation and applications as quickly as possible.

1. Hamilton's Equation of Motion
2. Poisson Brackets

1. General Structure of Quantum Mechanics
2. Postulates of Quantum Mechanics
3. Applying Postulates to Compute Probability and Average Values
4. Compatible Observables        

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The concept of electromotive force is explained by means of water coller pump analogy.

The energy stored in steady currents is derived and is shown to be \((1/2\mu_0) |\vec{B}\cdot\vec{B}|^2\) per unit volume.

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The phenomena of electromagnetic induction is described and the laws of inductions, Faraday's law of induction (the flux rule) and Lenz's law are stated.