Time-reversal-violating optical gyrotropy in a medium exposed to electric and magnetic field

Baryshevsky, V.G.

doi:10.1007/s10582-002-0138-5

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…It seems to be also remarkable, that the representation of eigenvalues of Hamilton operator in the complex form is used in a practice of theoretical calculations by a number of authors to be self-evident, see, for instance, [17].…”

Section: Connection Of Symmetry Of Quantum Systems With Algebra Of Comentioning

confidence: 99%

To Principles of Quantum Theory Construction

Yerchuck¹,

Dovlatova²,

Alexandrov³

2014

IJP

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New insight to the principles of the quantum theory construction is given. It is based on the symmetry study of main differential equations of mechanics and electrodynamics. It has been shown, that differential equations, which are invariant under transformations of groups, which are symmetry groups of mathematical numbers (considered within the frames of the number theory) determine the mathematical nature of the quantities, incoming in given equations. The substantial consequence of the given consideration is the proof of the main postulate of quantum mechanics, that is, the proof of the statement, that to any quantum mechanical quantity can be set up into the correspondence the Hermitian matrix. It is shown, that a non-abelian character of the multiplicative group of the quaternion ring leads to the nonapplicability of the quaternion calculus for the construction of new versions of quantum mechanics directly. The given conclusion seems to be actual, since there is a number of modern publications with the development of the quantum mechanics theory using the quaternions with the standard basis {e, i, j, k}. The correct way for the construction of new versions of quantum mechanics on the quaternion base is discussed in the paper presented. It is realized by means of the representation of the quaternions through the basis of the linear space of complex numbers over the field of real numbers, under the multiplicative group of which the equations of the dynamics of mechanical systems are invariant. At the same time the quaternion calculus is applicable in electrodynamics, at that the new versions of quantum electrodynamics can be constructed by an infinite number of the ways corresponding to an infinite number of the matrix representations of the standard quaternion basis {e, i, j, k}. The given conclusion is the consequence of the high symmetry of Maxwell equations.

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Section: Connection Of Symmetry Of Quantum Systems With Algebra Of Comentioning

confidence: 99%

To Principles of Quantum Theory Construction

Yerchuck¹,

Dovlatova²,

Alexandrov³

2014

IJP

View full text Add to dashboard Cite

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Influence of substrate material on plasma in deposition/sputtering reactor: experiment and computer simulation

Brzobohatý

Buršı́ková

Nečas

et al. 2008

J. Phys. D: Appl. Phys.

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The aim of this work was to investigate the influence of the substrate material on the plasma enhanced chemical vapour deposition and the plasma sputtering of thin films in low pressure (3–20 Pa) parallel-plate radio frequency (rf) discharges. It was observed that the deposition or sputtering rates differed above different materials, e.g. above a substrate and substrate electrode. Moreover, the substrates placed on the bottom rf electrode seemed to be mirrored in the thickness of a thin film deposited or sputtered on the upper grounded electrode. The influence of the substrate material on the plasma parameters was studied via particle in cell/Monte Carlo computer simulation. According to our finding the mirroring of the substrate was caused by different secondary electron emission yields of the substrate material and material of the substrate electrode. This difference in the secondary electron yield affected plasma density above the substrate leading to higher or lower deposition or sputtering rates on the grounded electrode. Therefore, the role of secondary electrons in the discharge was studied. Spatial distributions of impact positions on the grounded electrode for electrons and ions emitted from the rf electrode and created in the ionization avalanche of the secondary electrons were calculated in order to simulate the mirroring of the substrates.

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Time-reversal-violating optical gyrotropy in a medium exposed to electric and magnetic field

Cited by 2 publications

References 16 publications

To Principles of Quantum Theory Construction

To Principles of Quantum Theory Construction

Influence of substrate material on plasma in deposition/sputtering reactor: experiment and computer simulation

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