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} space where are positive and negative energy solutions to free KG equation time.

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Presentation on theme: "} space where are positive and negative energy solutions to free KG equation time."— Presentation transcript:

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2 }

3 space where are positive and negative energy solutions to free KG equation time

4 Transition operator

5 Physical interpretation of Quantum Mechanics Klein Gordon equation

6 Feynman rule associated with Feynman diagram Transition operator

7 Compton scattering of a π meson Feynman rules Klein Gordon External photon

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9 The Dirac equationRELATIVISTIC QUANTUM MECHANICS

10 The Lorentz group } Generate the group SO(3,1) To construct representations a more convenient (non-Hermitian) basis is }

11 The Lorentz group } Generate the group SO(3,1) To construct representations a more convenient (non-Hermitian) basis is Representations

12 Weyl spinors 2-component spinors of SU(2) Rotations and Boosts Dirac spinor Can combineto form a 4-component “Dirac” spinor Lorentz transformations where Weyl basis

13 Weyl spinors 2-component spinors of SU(2) Rotations and Boosts Dirac spinor Can combineto form a 4-component “Dirac” spinor Lorentz transformations where Note : (Dirac gamma matrices, …new 4-vector )

14 The Dirac equation Fermions described by 4-cpt Dirac spinors New 4-vector In momentum space :


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