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Русский

Dmitry A. Arbatsky

Some results

• Suggested a scheme of quantization of relativistic fields, that was named later relativistic canonical quantization. This scheme for the first time allowed to underpin construction of relativistic quantized field from abstract algebraic point of view.
• Applying relativistic canonical quantization to the electromagnetic field, solved the problems of constructive definition of the space of states of the quantum electromagnetic field and of the structure of that space from the functional analysis point of view.
• Formulated and proved the certainty principle for quantum systems. The certainty principle turned out to be more fundamental and general than the Heisenberg uncertainty principle and the Mandelshtam-Tamm relation.
• Suggested a computer technology of copyright protection — wikiright. This technology is already operable: for example, materials of this site are already protected by wikiright.

Selected science papers

• Quadratic Zeeman splitting distorted by fine-structure effects (1998).
• On quantization of electromagnetic field (2002):
  • I. Classical electrodynamics,
  • II. Arbitrariness in choice of Lagrangian,
  • III. Formula for generators of infinitesimal linear canonical transformations,
  • IV. Theory of field representations,
  • V. Vector representation of little Lorentz group for light-like momentum,
  • VI. Quantization.
• The certainty principle I (2005).
• The certainty principle II: Proof of the uncertainty principle (2006).

Reviews and discussions

• What is “Relativistic Canonical Quantization”? (2005).
• Relativistic canonical quantization: Questions and answers (2005).
• The certainty principle: Questions and answers (2006).
• The certainty principle (review) (2006).

Popular science articles

• The certainty principle for dummies (2006).
• Wikiright (2009).

Extra pages

• Copyright.