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Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces

Stojiljković, Vuk; Mirkov, Nikola; Radenović, Stojan

(2024)

TY  - JOUR
AU  - Stojiljković, Vuk
AU  - Mirkov, Nikola
AU  - Radenović, Stojan
PY  - 2024
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12722
AB  - In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.
T2  - Symmetry
T1  - Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces
VL  - 16
IS  - 1
SP  - 121
DO  - 10.3390/sym16010121
ER  - 
@article{
author = "Stojiljković, Vuk and Mirkov, Nikola and Radenović, Stojan",
year = "2024",
abstract = "In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.",
journal = "Symmetry",
title = "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces",
volume = "16",
number = "1",
pages = "121",
doi = "10.3390/sym16010121"
}
Stojiljković, V., Mirkov, N.,& Radenović, S.. (2024). Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry, 16(1), 121.
https://doi.org/10.3390/sym16010121
Stojiljković V, Mirkov N, Radenović S. Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces. in Symmetry. 2024;16(1):121.
doi:10.3390/sym16010121 .
Stojiljković, Vuk, Mirkov, Nikola, Radenović, Stojan, "Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces" in Symmetry, 16, no. 1 (2024):121,
https://doi.org/10.3390/sym16010121 . .
1

Slow Light in Quantum Metamaterials

Ivić, Zoran; Nikolić, Violeta N.; Čevizović, Dalibor; Pržulj, Željko

(IEEE, 2023)

TY  - CONF
AU  - Ivić, Zoran
AU  - Nikolić, Violeta N.
AU  - Čevizović, Dalibor
AU  - Pržulj, Željko
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10968
AB  - We present an overview of the recent studies on self-induced transparency in superconducting quantum metamaterials. The realization of slow-light optical solitons and their role in quantum information storage is emphasized. © 2023 IEEE.
PB  - IEEE
C3  - InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17
T1  - Slow Light in Quantum Metamaterials
DO  - 10.1109/INFOTEH57020.2023.10094056
ER  - 
@conference{
author = "Ivić, Zoran and Nikolić, Violeta N. and Čevizović, Dalibor and Pržulj, Željko",
year = "2023",
abstract = "We present an overview of the recent studies on self-induced transparency in superconducting quantum metamaterials. The realization of slow-light optical solitons and their role in quantum information storage is emphasized. © 2023 IEEE.",
publisher = "IEEE",
journal = "InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17",
title = "Slow Light in Quantum Metamaterials",
doi = "10.1109/INFOTEH57020.2023.10094056"
}
Ivić, Z., Nikolić, V. N., Čevizović, D.,& Pržulj, Ž.. (2023). Slow Light in Quantum Metamaterials. in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17
IEEE..
https://doi.org/10.1109/INFOTEH57020.2023.10094056
Ivić Z, Nikolić VN, Čevizović D, Pržulj Ž. Slow Light in Quantum Metamaterials. in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17. 2023;.
doi:10.1109/INFOTEH57020.2023.10094056 .
Ivić, Zoran, Nikolić, Violeta N., Čevizović, Dalibor, Pržulj, Željko, "Slow Light in Quantum Metamaterials" in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17 (2023),
https://doi.org/10.1109/INFOTEH57020.2023.10094056 . .

Dispersion Management of Light Pulse Transparency in Quantum Metamaterials

Ivić, Zoran; Čevizović, Dalibor; Pržulj, Željko; Ivković, Ivana

(IEEE, 2023)

TY  - CONF
AU  - Ivić, Zoran
AU  - Čevizović, Dalibor
AU  - Pržulj, Željko
AU  - Ivković, Ivana
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10969
AB  - We present a theoretical prediction of a novel, nonEIT, mechanism for the achievement of a transparency window. It relies on an intrinsically nonlinear (soliton type) mechanism which may be exploited for the production of slow light, which may appear in a photonic band-gap structure: the infinite coupled cavity array (CCA), filled with two-level systems - qubits. Each cavity contains a single qubit. The most important prediction is substantial dependence of the pulse transparency on its width. In particular, the medium is opaque for very short pulses with carrier wave frequency below the photonic gap. When the pulse width exceeds the critical one, a twin transparency window separated by a finite band gap appears in the SIT pulse dispersion law. Both low-frequency TW and the SIT pulse band gap lie entirely within the polaritonic band gap.
PB  - IEEE
C3  - InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17
T1  - Dispersion Management of Light Pulse Transparency in Quantum Metamaterials
DO  - 10.1109/INFOTEH57020.2023.10094191
ER  - 
@conference{
author = "Ivić, Zoran and Čevizović, Dalibor and Pržulj, Željko and Ivković, Ivana",
year = "2023",
abstract = "We present a theoretical prediction of a novel, nonEIT, mechanism for the achievement of a transparency window. It relies on an intrinsically nonlinear (soliton type) mechanism which may be exploited for the production of slow light, which may appear in a photonic band-gap structure: the infinite coupled cavity array (CCA), filled with two-level systems - qubits. Each cavity contains a single qubit. The most important prediction is substantial dependence of the pulse transparency on its width. In particular, the medium is opaque for very short pulses with carrier wave frequency below the photonic gap. When the pulse width exceeds the critical one, a twin transparency window separated by a finite band gap appears in the SIT pulse dispersion law. Both low-frequency TW and the SIT pulse band gap lie entirely within the polaritonic band gap.",
publisher = "IEEE",
journal = "InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17",
title = "Dispersion Management of Light Pulse Transparency in Quantum Metamaterials",
doi = "10.1109/INFOTEH57020.2023.10094191"
}
Ivić, Z., Čevizović, D., Pržulj, Ž.,& Ivković, I.. (2023). Dispersion Management of Light Pulse Transparency in Quantum Metamaterials. in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17
IEEE..
https://doi.org/10.1109/INFOTEH57020.2023.10094191
Ivić Z, Čevizović D, Pržulj Ž, Ivković I. Dispersion Management of Light Pulse Transparency in Quantum Metamaterials. in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17. 2023;.
doi:10.1109/INFOTEH57020.2023.10094191 .
Ivić, Zoran, Čevizović, Dalibor, Pržulj, Željko, Ivković, Ivana, "Dispersion Management of Light Pulse Transparency in Quantum Metamaterials" in InfoTeh-Jahorina : 22. međunarodni simpozijum INFOTEH-JAHORINA 202; Mart 15-17 (2023),
https://doi.org/10.1109/INFOTEH57020.2023.10094191 . .

The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation

Ćirić, Aleksandar; Stojadinović, Stevan

(2023)

TY  - JOUR
AU  - Ćirić, Aleksandar
AU  - Stojadinović, Stevan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10587
AB  - 15 μm thick ZrO2:Nd3+ coatings were synthesized by the plasma electrolytic oxidation process from the pure zirconium substrate in an alkaline electrolyte with the addition of five different concentrations of Nd2O3 powders. SEM/EDS images show morphologies characterized by numerous pores and cracks, and uniform distribution of coating constituents. XRD revealed that the monoclinic phase is dominant and that Nd impurity stabilizes the tetragonal phase. The average crystalline size is 27.5 nm. XRF revealed a linear increase in incorporated Nd with increasing Nd2O3 concentration. Photoluminescence spectra are characterized by the NIR emissions at typical energies for Nd3+ ion. The highest emission intensity is obtained with 2.0 g/L Nd2O3. The explicit equation for branching ratios in relation to the emission intensities and Judd-Ofelt parameters is recalculated. A novel, more precise equation for the calculation of the spectroscopic quality factor from the most intense emissions is presented. The spectroscopic quality factor is the lowest in the sample with the highest photoluminescent intensity, and is one of the lowest values, in comparison with the 203 spectroscopic quality factors calculated from the Judd-Ofelt parameters in the literature. The luminescence intensity decreases with temperature by the phonon-assisted cross-relaxation mechanism. The luminescence thermometry by the lifetime of 4F3/2 level shows ∼2% K−1 relative sensitivity in the 300–380 K temperature range.
T2  - Journal of Luminescence
T1  - The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation
VL  - 257
SP  - 119665
DO  - 10.1016/j.jlumin.2022.119665
ER  - 
@article{
author = "Ćirić, Aleksandar and Stojadinović, Stevan",
year = "2023",
abstract = "15 μm thick ZrO2:Nd3+ coatings were synthesized by the plasma electrolytic oxidation process from the pure zirconium substrate in an alkaline electrolyte with the addition of five different concentrations of Nd2O3 powders. SEM/EDS images show morphologies characterized by numerous pores and cracks, and uniform distribution of coating constituents. XRD revealed that the monoclinic phase is dominant and that Nd impurity stabilizes the tetragonal phase. The average crystalline size is 27.5 nm. XRF revealed a linear increase in incorporated Nd with increasing Nd2O3 concentration. Photoluminescence spectra are characterized by the NIR emissions at typical energies for Nd3+ ion. The highest emission intensity is obtained with 2.0 g/L Nd2O3. The explicit equation for branching ratios in relation to the emission intensities and Judd-Ofelt parameters is recalculated. A novel, more precise equation for the calculation of the spectroscopic quality factor from the most intense emissions is presented. The spectroscopic quality factor is the lowest in the sample with the highest photoluminescent intensity, and is one of the lowest values, in comparison with the 203 spectroscopic quality factors calculated from the Judd-Ofelt parameters in the literature. The luminescence intensity decreases with temperature by the phonon-assisted cross-relaxation mechanism. The luminescence thermometry by the lifetime of 4F3/2 level shows ∼2% K−1 relative sensitivity in the 300–380 K temperature range.",
journal = "Journal of Luminescence",
title = "The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation",
volume = "257",
pages = "119665",
doi = "10.1016/j.jlumin.2022.119665"
}
Ćirić, A.,& Stojadinović, S.. (2023). The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation. in Journal of Luminescence, 257, 119665.
https://doi.org/10.1016/j.jlumin.2022.119665
Ćirić A, Stojadinović S. The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation. in Journal of Luminescence. 2023;257:119665.
doi:10.1016/j.jlumin.2022.119665 .
Ćirić, Aleksandar, Stojadinović, Stevan, "The spectroscopic quality factor, phase, morphological, structural, and photoluminescent analysis of ZrO2:Nd3+ coatings created by Plasma electrolytic oxidation" in Journal of Luminescence, 257 (2023):119665,
https://doi.org/10.1016/j.jlumin.2022.119665 . .
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