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P. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117 , 610 (1928) Proc. Roy. Soc. A126 , 360 (1930)

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Page 1: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

P. A. M. Dirac

The Quantum Theory of the Electron

Proc. Roy. Soc. A117, 610 (1928)Proc. Roy. Soc. A126, 360 (1930)

Page 2: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 3: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

The Klein-Gordon equation

Page 4: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

What is the difficulty??

Page 5: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

The case of no field

Page 6: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 7: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 8: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 9: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 10: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 11: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 12: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

The algebraic structure of Dirac‘s matrices:

Dirac‘s equation for an arbitrary field

Page 13: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Let us repeat Dirac‘s argument slightly modernized

Page 14: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 15: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 16: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 17: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Mass-velocity & Darwin terms,

Spin-orbit interaction

Dirac‘s connex to theSchrödinger & Pauli equationsorthe origin of the

Page 18: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

After separation of variables Dirac arrivesat the following „radial“ equation:

Page 19: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 20: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 21: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

Page 22: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

The elimination method slightly modernized:

Page 23: P. A. M. Dirac The Quantum Theory of the ElectronP. A. M. Dirac The Quantum Theory of the Electron Proc. Roy. Soc. A117, 610 (1928) Proc. Roy. Soc. A126, 360 (1930) when correspondence

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