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Applications of Spinor QED

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Advanced Quantum Mechanics

Part of the book series: Graduate Texts in Physics ((GTP))

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Abstract

We have seen in Chapter 18 that inclusion of the quantized Maxwell field did not change the basic formalism of time-dependent perturbation theory, see equations (18.71–18.73), and this property also persists after promotion of the matter fields in the Hamiltonian to relativistic Klein-Gordon or Dirac fields. In the following sections we will use the Hamiltonian (21.94) of spinor quantum electrodynamics for the calculation of scattering processes. However, we first should generalize our previous results for the scattering matrix to the case of two free particles in the initial and final state.

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Notes

  1. 1.

    N.F. Mott, Proc. Roy. Soc. London A 124, 425 (1929).

  2. 2.

    O. Klein, Y. Nishina, Z. Phys. 52, 853 (1929).

  3. 3.

    However, spin polarized cross sections for electron scattering will likely become important in the framework of spintronics and spin based quantum computing.

  4. 4.

    C. Møller, Annalen Phys. 406, 531 (1932).

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Dick, R. (2016). Applications of Spinor QED. In: Advanced Quantum Mechanics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-25675-7_22

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