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Examples of classical Fields; Functional derivative; Lagrangian and Lagarangian Lagarangian and Hamitonian formulations of dynamics of point particles. To explain the following: The steps to quantize a classical field require the contents of this unit. Symmetries and conservation laws. Construction of generators of symmetry To draw flow charts, concept maps.Syllabus
density; Action principle; Euler Lagrange equations of motion; Canonical
momentum; Hamiltonian; Poisson bracket.Prerequisites
Instruction Goals
Lessons
Suggested Questions and Problems
Where do we need all, or some part, of this unit
Most of the cases the field equation is given, or is known. One needs to find
the Lagrangian density, compute the momenta canonically congjugate to the
fields. The act of quantization consists in assuming the commutation relation
between a field operator and its canonical momenta to be given by \(ihbar\)
times the Poisson bracket.What is not included here but will in come later units?
transformations; Lorentz transformations and Poincare group. Energy momentum
and angular momentum tensors for Schrodinger, Klein Gordon and Dirac fields.Planned for Next Phase
Notes and References
