• Hilbert space theory of classical electrodynamics

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    • Keywords


      Hilbert space; Koopman–von Neumann theory; classical electrodynamics.

    • Abstract


      Classical electrodynamics is reformulated in terms of wave functions in the classical phase space of electrodynamics, following the Koopman–von Neumann–Sudarshan prescription for classical mechanics on Hilbert spaces sans the superselection rule which prohibits interference effects in classical mechanics. This is accomplished by transforming from a set of commutingobservables in one Hilbert space to another set of commuting observables in a larger Hilbert space. This is necessary to clarify the theoretical basis of the much recent work on quantum-like features exhibited by classical optics. Furthermore, following Bondar et al, {\it Phys. Rev.} A 88, 052108 (2013), it is pointed out that quantum processes that preserve the positivity or nonpositivity of theWigner function can be implemented by classical optics. This may be useful in interpreting quantum information processing in terms of classical optics.

    • Author Affiliations



      1. Inspire Institute Inc., Alexandria, Virginia, 22303, USA
      2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India
      3. Institute of Mathematical Sciences, C.I.T. Campus, Tharamani, Chennai 600 113, India
      4. Centre for Astroparticle Physics, Space Science (CAPSS), Bose Institute, Block EN, Sector V, Salt Lake, Kolkata 700 091, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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