NDLI: A Relativistic Schrödinger-like Equation for a Photon and Its Second Quantization

Content Provider	Springer Nature Link
Author	Kobe, Donald H.
Copyright Year	1999
Abstract	Maxwell's equations are formulated as a relativistic “Schrödinger-like equation” for a single photon of a given helicity. The probability density of the photon satisfies an equation of continuity. The energy eigenvalue problem gives both positive and negative energies. The Feynman concept of antiparticles is applied here to show that the negative-energy states going backward in time (t → −t) give antiphoton states, which are photon states with the opposite helicity. For a given mode, properties of a photon, such as energy, linear momentum, total angular momentum, orbital angular momentum, and spin are equivalent in both classical electromagnetic field theory and quantum theory. The single-photon Schrödinger equation is field (or “second”) quantized in a gauge-invariant way to obtain the quantum field theory of many photons. This approach treats the quantization of electromagnetic radiation in a way that parallels the quantization of material particles and, thus, provides a unified treatment.
Starting Page	1203
Ending Page	1231
Page Count	29
File Format	PDF
ISSN	00159018
Journal	Foundations of Physics
Volume Number	29
Issue Number	8
e-ISSN	15729516
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1999-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mechanics Relativity and Cosmology Condensed Matter Biophysics/Biomedical Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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