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1

Dielectric Permeability of Nanocylinder

100%

Jaćimovski S., Sajfert V., Raković D., Tošić B.

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issue 5

738-744

EN

In the nanocylinder, a cut-off from the molecular crystal, dielectric permeability tensor is investigated. Excitons in the nanocylinder arise due to the exciting of the electron subsystem of the molecule. In evaluation of dielectric permeability Dzhyaloshinskii-Pitaevskii approach is used, connected with retarded and advanced exciton Green's functions and correct use of Paulion Green's function. It turned out that refraction and absorption indices depend on configuration coordinates, having maximal values at boundary cross-sections and minimal value at central cross-section of the nanocylinder broken symmetry structure. Although it was expected that boundary conditions make higher refractive and absorptive characteristics of the nanocylinder, this appeared not to be possible because Paulion Green's function is not proportional to the exciton concentration.

2

Quantum Foundations of Resonant Recognition Model

88%

Keković G., Raković D., Tošić B., Davidović D., Cosić I.

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issue 5

756-759

EN

Biomolecular recognition is an open scientific problem, which has been investigated in many theoretical and experimental aspects. In that sense, there are encouraging results within Resonant Recognition Model (RRM), based on the finding that there is a significant correlation between spectra of the numerical presentation of amino acids in the primary structure of proteins and their biological activity. It has been found through an extensive research that proteins with the same biological function have a common frequency in their numerical spectra. This frequency was found then to be a characteristic feature for protein biological function or interaction The RRM model proposes that the selectivity of protein interactions is based on resonant energy transfer between interacting biomolecules and that this energy, electromagnetic in its nature, is in the frequency range of 10^{13} to 10^{15} Hz, which incorporates infra-red (IR), visible and a small portion of the ultra-violet (UV) radiation. In this paper, the quantum mechanical basis of the RRM model will be investigated using the solution in the simplified framework of Hückel-like theory of molecular orbits.

3

Photon's Structure of Motion

76%

Delić N., Tošić B., Šetrajčić J., Markoski B., Pelemiš S., Sajfert V., Zorić V.

Acta Physica Polonica A

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2009

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vol. 116

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issue 4

471-475

EN

A free photon Hamiltonian is linearized using Pauli's matrices. Based on the correspondence of Pauli's matrices kinematics and the kinematics of spin operators, it has been proved that a free photon integral of motion is a sum of orbital momentum and spin momentum for a half-one spin. Linearized Hamiltonian represents a bilinear form of products of spin and momentum operators. Unitary transformation of this form results in an equivalent Hamiltonian, which has been analyzed by the method of Green's functions. The evaluated Green function has given possibility for interpretation of photon reflection as a transformation of photon to antiphoton with energy change equal to double energy of photon and for spin change equal to Dirac's constant. Since photon is relativistic quantum object the exact determining of its characteristics is impossible. It is the reason for series of experimental works in which photon orbital momentum, which is not integral of motion, was investigated. The exposed theory was compared to the mentioned experiments and in some elements the satisfactory agreement was found.

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3 Acta Physica Polonica A

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3 Tošić B.

2 Raković D.

2 Sajfert V.

1 Cosić I.

1 Davidović D.

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1 Jaćimovski S.

1 Keković G.

1 Markoski B.

1 Pelemiš S.

1 Zorić V.

1 Šetrajčić J.

Dielectric Permeability of Nanocylinder

Quantum Foundations of Resonant Recognition Model

Photon's Structure of Motion