The vacuum-vacuum amplitude and Bogoliubov coefficients

Journal Article · Sat Feb 01 00:00:00 EST 2003 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/1.1560392· OSTI ID:20592089

Nikishov, A I ^[1]

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1. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991 (Russian Federation)

We consider the problem of fixing the phases of Bogoliubov coefficients in quantum electrodynamics such that the vacuum-vacuum amplitude can be expressed via them. For a constant electric field and particles with spins of 0 and 1/2, this is done starting from the definition of these coefficients. Using the symmetry between electric and magnetic fields, we extend the result to a constant electromagnetic field. It turns out that for a constant magnetic field, it is necessary to distinguish the in- and out-states, although they differ only by a phase factor. For a spin-1 particle with a gyromagnetic of ratio g = 2, this approach fails and we reconsider the problem using the proper-time method.

• OSTI ID: 20592089
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 96, Issue 2; Other Information: Translated from Zhurnal Ehksperimental'noj i Teoreticheskoj Fiziki, ISSN 0044-4510, 123, 211-223 (No. 2, 2003); DOI: 10.1134/1.1560392; (c) 2003 MAIK ''Nauka / Interperiodica''; Country of input: International Atomic Energy Agency (IAEA); TN:; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOGOLYUBOV METHOD
ELECTRIC FIELDS
ELECTROMAGNETIC FIELDS
GYROMAGNETIC RATIO
MAGNETIC FIELDS
POWER FACTOR
QUANTUM ELECTRODYNAMICS
SPIN
SYMMETRY