TY  - JOUR
AU  - Andreev, Vladimir A.
AU  - Davidović, Dragomir M.
AU  - Davidović, Ljubica D.
AU  - Davidović, Milena
AU  - Man'ko, V. I.
AU  - Manko, M. A.
PY  - 2011
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/351
AB  - We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - gt (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.
T2  - Theoretical and Mathematical Physics
T1  - A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms
EP  - 368
IS  - 3
SP  - 356
VL  - 166
DO  - 10.1007/s11232-011-0028-8
ER  - 

@article{
author = "Andreev, Vladimir A. and Davidović, Dragomir M. and Davidović, Ljubica D. and Davidović, Milena and Man'ko, V. I. and Manko, M. A.",
year = "2011",
abstract = "We consider the Husimi Q-functions, which are quantum quasiprobability distributions in the phase space, and investigate their transformation properties under a scale transformation (q, p) - gt (lambda q, lambda p). We prove a theorem that under this transformation, the Husimi function of a physical state is transformed into a function that is also a Husimi function of some physical state. Therefore, the scale transformation defines a positive map of density operators. We investigate the relation of Husimi functions to Wigner functions and symplectic tomograms and establish how they transform under the scale transformation. As an example, we consider the harmonic oscillator and show how its states transform under the scale transformation.",
journal = "Theoretical and Mathematical Physics",
title = "A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms",
pages = "368-356",
number = "3",
volume = "166",
doi = "10.1007/s11232-011-0028-8"
}

Andreev, V. A., Davidović, D. M., Davidović, L. D., Davidović, M., Man'ko, V. I.,& Manko, M. A.. (2011). A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. in Theoretical and Mathematical Physics, 166(3), 356-368.
https://doi.org/10.1007/s11232-011-0028-8

Andreev VA, Davidović DM, Davidović LD, Davidović M, Man'ko VI, Manko MA. A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms. in Theoretical and Mathematical Physics. 2011;166(3):356-368.
doi:10.1007/s11232-011-0028-8 .

Andreev, Vladimir A., Davidović, Dragomir M., Davidović, Ljubica D., Davidović, Milena, Man'ko, V. I., Manko, M. A., "A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms" in Theoretical and Mathematical Physics, 166, no. 3 (2011):356-368,
https://doi.org/10.1007/s11232-011-0028-8 . .

TY  - JOUR
AU  - Jovanović, Branislava M.
AU  - Rajaković, Ljubinka V.
PY  - 2010
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/302
AB  - The sorption of inorganic arsenic species (arsenite and arsenate) from aqueous solutions onto steel-mill waste and waste filter sand, under neutral conditions, was investigated in this study. Additionally, the steel-mill waste material was modified in order to minimize its deteriorating impact on the initial water quality and to meet the drinking water standards. The influence of contact time and initial arsenic concentration was investigated using batch system techniques. To evaluate the application for real groundwater treatment, the capacities of the obtained waste materials were further compared to those exhibited by commercial sorbents, which were examined under the same experimental conditions. Kinetic studies revealed that waste slag materials are the most efficient in arsenic removal, reaching equilibrium arsenic sorption capacities in the range 47.6-55.2 mu g/g, while waste filter sand exhibited capacities of 25.4-29.8 mu g/g (for an initial arsenic concentration C-o=0.5 mg/L). The higher iron content in the slag materials was considered to be responsible for the better removal efficiencies, and the specific arsenic removal efficiency was estimated to be 220 mu gAs/gFe. The specific arsenic removal efficiency of the second active substance found in waste filter sand, manganese, was estimated to be 115 mu gAs/gMn. Equilibrium studies revealed the occurrence of both chemisorption and physical sorption processes. All the waste materials exhibited higher performances for As (V). The highest maximum sorption capacity was obtained by waste iron slag: 4040 mu g/g for As (V). The waste materials reached the arsenic removal capacities of the examined commercial materials, suggesting the feasibility of their application in real groundwater treatment.
T2  - Journal of Environmental Engineering
T1  - New Approach: Waste Materials as Sorbents for Arsenic Removal from Water
EP  - 1286
IS  - 11
SP  - 1277
VL  - 136
DO  - 10.1061/(ASCE)EE.1943-7870.0000266
ER  - 

@article{
author = "Jovanović, Branislava M. and Rajaković, Ljubinka V.",
year = "2010",
abstract = "The sorption of inorganic arsenic species (arsenite and arsenate) from aqueous solutions onto steel-mill waste and waste filter sand, under neutral conditions, was investigated in this study. Additionally, the steel-mill waste material was modified in order to minimize its deteriorating impact on the initial water quality and to meet the drinking water standards. The influence of contact time and initial arsenic concentration was investigated using batch system techniques. To evaluate the application for real groundwater treatment, the capacities of the obtained waste materials were further compared to those exhibited by commercial sorbents, which were examined under the same experimental conditions. Kinetic studies revealed that waste slag materials are the most efficient in arsenic removal, reaching equilibrium arsenic sorption capacities in the range 47.6-55.2 mu g/g, while waste filter sand exhibited capacities of 25.4-29.8 mu g/g (for an initial arsenic concentration C-o=0.5 mg/L). The higher iron content in the slag materials was considered to be responsible for the better removal efficiencies, and the specific arsenic removal efficiency was estimated to be 220 mu gAs/gFe. The specific arsenic removal efficiency of the second active substance found in waste filter sand, manganese, was estimated to be 115 mu gAs/gMn. Equilibrium studies revealed the occurrence of both chemisorption and physical sorption processes. All the waste materials exhibited higher performances for As (V). The highest maximum sorption capacity was obtained by waste iron slag: 4040 mu g/g for As (V). The waste materials reached the arsenic removal capacities of the examined commercial materials, suggesting the feasibility of their application in real groundwater treatment.",
journal = "Journal of Environmental Engineering",
title = "New Approach: Waste Materials as Sorbents for Arsenic Removal from Water",
pages = "1286-1277",
number = "11",
volume = "136",
doi = "10.1061/(ASCE)EE.1943-7870.0000266"
}

Jovanović, B. M.,& Rajaković, L. V.. (2010). New Approach: Waste Materials as Sorbents for Arsenic Removal from Water. in Journal of Environmental Engineering, 136(11), 1277-1286.
https://doi.org/10.1061/(ASCE)EE.1943-7870.0000266

Jovanović BM, Rajaković LV. New Approach: Waste Materials as Sorbents for Arsenic Removal from Water. in Journal of Environmental Engineering. 2010;136(11):1277-1286.
doi:10.1061/(ASCE)EE.1943-7870.0000266 .

Jovanović, Branislava M., Rajaković, Ljubinka V., "New Approach: Waste Materials as Sorbents for Arsenic Removal from Water" in Journal of Environmental Engineering, 136, no. 11 (2010):1277-1286,
https://doi.org/10.1061/(ASCE)EE.1943-7870.0000266 . .