Mar
04

Quantization of relativistic fields without zero-point energy 

2. Vector and spinor fields

Zahid Zakir [1]

Abstract

     The new method of C- and CP-symmetric quantization of complex fields is applied for spinor, complex vector and electromagnetic fields. It is shown that the constraints imposed by requirements of discrete symmetries on bilinear products of creation-annihilation operators lead to operators of observables in a normal-ordered form without a zero-point energy and a zero-point charge.

PACS: 03.70. + k, 11.30.Er

Key words: quantization, charge conjugation, parity

Vol. 3, No 1,  p. 1 – 8, v1,   4 March 2008

Online: TPAC: 2620-009 v2,  28 September 2012; DOI: 10.9751/TPAC.2620-009

Download  pdf 468 kb


[1] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org

2 Responses to “TPAC: 2620-009 v2, Vol. 3, p. 1–8”

  1. Zahid Zakir
    October 8th, 2012 at 17:58 | #1

    1. New results:
    The new method of C- and CP-symmetric quantization of complex fields without zero-point energy is applied to spinor, complex vector and electromagnetic fields.

  2. Zahid Zakir
    October 8th, 2012 at 18:08 | #2

    2. New results:
    The electromagnetic field is quantized in the helicity basis and the transverse gauge, where two transvrese field degrees of freedom are quantized by analogy to a complex scalar field. The photons with opposite helicities behave as a particle and an antiparticle and there no zero-point energy.
    It is shown that, since photons with a certain helicity are emitted by a rotating dipole, i.e. a rotator, at first, the rotator spectrum in itself does not contain a zero-point energy and secondly, at circular polarization the vectors of electrical and magnetic field do not vibrate, but only rotate on a polarization plane. Oscillate only their projections to the fixed coordinate axes on this plane.

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