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SyllabusClassical fields; Functional derivatives; Action principle for fields. Lagrangian form of dynamics; Noether's theorem; Hamiltonian dynamics; Poisson brackets.
PrerequisitesAn 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.
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$\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}${}$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}${}$\newcommand{\ket}[1]{|#1\rangle}$ {} $\newcommand{\bra}[1]{\langle #1|}$
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