Electromagnetic field in a rectangular cavity: an example of second quantization

  • Authors

    • Boniface Otieno Ndinya Masinde Muliro University of Sciece and technologyDepartment of PhysicsP.O.Box190-50100Kakamega
    2021-02-19
    https://doi.org/10.14419/ijpr.v9i1.31392
  • Electromagnetic Field, Rectangular Cavity, Second Quantization.

  • Abstract

    We consider the case of electromagnetic field inside a rectangular cavity with conducting walls as a form of a system described by classical mechanics equations. We pass these equations through the Lagrangian formalism to obtain the Hamiltonian formulation. Finally we apply canonical quantization to end up with a quantum theory of the electromagnetic field. Since classical electrodynamics can be interpreted as the quantum theory of a one photon system, then the above quantization is taken as the “quantization of the quantum theory of the electromagnetic field†or simply second quantization.

     

     

  • References

    1. [1] Benson, H. (2010). University Physics. New Delhi: John Wiley & Sons, Inc.

      [2] Loudon, R. (1983). The Quantum theory of light. Oxford: Oxford University press.

      [3] Aruldhas, G. (2009). Quantum Mechanics. New Delhi: PHI Learning Private Limited.

      [4] Chandrasekar, N. (2012). Quantum Mechanics of Photons. Adv. Studies Theor. Phys. , 391-397.

      [5] Jackson, J. D. (1999). Classical electrodynamics. New York: John Wiley & Sons, INC.

      [6] Christopher, G. and Knight. P. (2005). Introductory Quantum Optics. New York: Cambridge University Press.

      [7] Griffins, D. J. (1999). Introduction to Electrodynmics. New Jersey : Prentice Hall INC.

      [8] Golstein, H. (1980). Classical Mechanics. Reading MA: Addison Wesley.

      [9] Greiner, W. and Reinhand, J. (1986). Field Quantization. Berlin: Springer.

  • Downloads

  • How to Cite

    Otieno Ndinya, B. (2021). Electromagnetic field in a rectangular cavity: an example of second quantization. International Journal of Physical Research, 9(1), 32-37. https://doi.org/10.14419/ijpr.v9i1.31392

    Received date: 2021-01-15

    Accepted date: 2021-02-06

    Published date: 2021-02-19