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

DOI:

https://doi.org/10.14419/ijpr.v9i1.31392

Published:

2021-02-19

Keywords:

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] 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.

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