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Lesson/CM03-01 Action Principle

 $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}${}$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}${}$\newcommand{\ket}[1]{|#1\rangle}$ {} $\newcommand{\bra}[1]{\langle #1|}$

kapoor's picture 21-08-05 08:08:04

Help and Information --- About Lessons in Proofs Project

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kapoor's picture 21-08-05 07:08:11

Help and Info Page:: How to give feedback on resources in Proofs Project

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kapoor's picture 21-08-05 07:08:15

I-1.5 Chalk Talk:: Functional Derivative (article)

I-1.5 Chalk Talk:: Functional Derivative (article)

 

I-1.5 Chalk Talk 1: Functional Derivative  Click for Slides; Article Class; Video

I-1.6 Chalk Talk 2:  Action Principle and Euler Lagrange equation of motion  Click for Slides; Article Class; Video

I-1.7 Chalk Talk 3: Hamilton's Equations of Motion and Poisson brackets   Click for Slides; Article Class; Video

I-1.8 Examples: Lagrangian and Hamiltonian for different systems  Click for Slides; Article Class; Video


kapoor's picture 21-08-05 06:08:08

I-1 Overview of Module-I

Syllabus
Classical fields; Functional derivatives; Action principle for fields. Lagrangian form of dynamics;
Noether's theorem; Hamiltonian dynamics; Poisson brackets.


Prerequisites
An Elementary exposure to the following topics will be sufficient to get started on this unit.

Classical fields; Examples of Classical fields; Eelectromagnetic field as example of fields; Maxwell's equations as  field equations.

 Relativistic quantum mechanics; Klein Gordon equation; Dirac equation;

Quantum mechanics of a point particle; Time dependent Schrodinger equation.


Different resources are planned to be made available in multiple formats [ audio / video / article style / Slides style etc]

kapoor's picture 21-08-05 06:08:08

Self Paced Course :: Quantum Field Theory for Newbies

kapoor's picture 21-08-05 06:08:08

I-2.3 Talk:: How to Do Classical Mechanics of Fields?

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shivahcu's picture 21-08-04 14:08:16

I-4.3:: Submit a Web-form --- Why Interpret QM equations as classical field equation?

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shivahcu's picture 21-08-04 13:08:06

I-4.5 Exercise:: Functional derivative

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shivahcu's picture 21-08-04 13:08:04

I-4.6 Exercise:: Hamiltonian Equations; Poisson Brackets

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shivahcu's picture 21-08-04 13:08:15

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