Authors: Sajfert, Vjekoslav; Mali, Petar; Bednar, Nikola; Pop, Nicolina; Popov, Dušan; Tošić, Bratislav

Source: Quantum Matter, Volume 1, Number 2, December 2012 , pp. 134-135(2)

Publisher: American Scientific Publishers

Abstract:

Starting from the fact that intensities of displacement vector and momentum vector, beeing square roots of the sum of squares, are not linear operators, we linearized those operators by means of 2 × 2 matrices and calculated their commutator. It was expected to obtain the commutator in the form of diagonal quadratic matrix, but it turned out that it has all four elements different from zero. We diagonalized commutator, but even in this form it was not compatible with everywhere used commutator of displacement and momentum. The reduction of diagonalized matrices with usually used values of displacement-momentum commutator requires additional commutation rules between components of dispacement and momentum vectors.

Keywords: LINEARIZATION INTENSITY OPERATORS; NOTICEABLY DIFFERENT RESULT FROM USUAL APPROACH

Document Type: Research article

DOI: http://dx.doi.org/10.1166/qm.2012.1011

Publication date: 2012-12-01

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• QUANTUM MATTER is a peer-reviewed interdisciplinary journal consolidating research activities in all theoretical, experimental and technological aspects dealing with fundamental structure of matter from cosmology to materials science.
  QUANTUM MATTER is a peer-reviewed interdisciplinary journal consolidating research activities in all theoretical, experimental and technological aspects dealing with fundamental structure of matter from cosmology to materials science.
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