Lecture 27 Lecture Notes

Lecture 27 Lecture Notes - Lec -15. Mar March1509 1:38 PM...

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8. Relativistic Formulation of Electrodynamics 8.1 Four-vector notation for Lorentz transformation space-time coordinate vector Lorentz Boost in direction with matrix index notation (Einstein's sum convention) exchange in General Lorentz transform with 3-dim rotation matrix 8.2 Transformation rules reference system moves with velocity v to right (as seen from S) transformation described by Lorentz transform Inverse: Lec -15. Mar March 15 09 1:38 PM Lecture Notes Page 1
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8.2.1 Scalar product (SP) (quadratic form) 4-vectors otherwise Transformation rule: But: (verify!) SP symmetric under exchange x y Value of SP invariant under Lorenz transform => Scalar! (refers to transformation behavior) 8.3 contra- and covariant vectors
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Lecture 27 Lecture Notes - Lec -15. Mar March1509 1:38 PM...

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