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Dirac Equation

Dirac Equation

Oct 29, 20231 min read

  • Physics

iℏγμΨ−mcΨ=0

  • Relativistic version of the Schrodinger equation

iℏ∂t∂ψ​=(−iℏα⋅∇α⋅∇+βmc2)ψ

  • From Veritasium video

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  • iℏγμΨ−mcΨ=0\displaystyle i\hbar \gamma^{\mu}\Psi-mc\Psi=0iℏγμΨ−mcΨ=0
  • iℏ∂ψ∂t=(−iℏα⋅∇α⋅∇+βmc2)ψ\displaystyle i\hbar \frac{\partial \psi }{\partial t}=(-i\hbar \alpha\cdot \nabla \alpha\cdot \nabla +\beta mc^{2})\psiiℏ∂t∂ψ​=(−iℏα⋅∇α⋅∇+βmc2)ψ

Backlinks

  • Lagrangian Density
  • Schrodinger Equation

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