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Gavrilik, Alexandre M.

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Author ID: gavrilik.alexandre-m Recent zbMATH articles by "Gavrilik, Alexandre M."
Published as: Gavrilik, A. M.; Gavrilik, Alexandre; Gavrilik, Alexandre M.
Documents Indexed: 41 Publications since 1972, including 2 Books

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Citations contained in zbMATH Open

27 Publications have been cited 130 times in 94 Documents Cited by Year
\(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations. Zbl 0735.17020
Gavrilik, A. M.; Klimyk, A. U.
30
1991
Representation matrix elements and Clebsch-Gordan coefficients of the semisimple Lie groups. Zbl 0416.22017
Klimyk, A. U.; Gavrilik, A. M.
20
1979
Multi-particle correlations in \(qp\)-Bose gas model. Zbl 1047.82002
Adamska, L. V.; Gavrilik, A. M.
11
2004
A \(q\)-oscillator with “accidental” degeneracy of energy levels. Zbl 1116.81034
Gavrilik, A. M.; Rebesh, A. P.
10
2007
The representations of the groups \(U(n,1)\) and \(SO_0(n,1)\). (Predstavlenija grupp \(U(n,1)\) i \(SO_0(n,1)\)). Zbl 0337.22020
Klimyk, A. U.; Gavrilik, A. M.
8
1976
Entanglement in composite bosons realized by deformed oscillators. Zbl 1260.81072
Gavrilik, A. M.; Mishchenko, Yu. A.
7
2012
Deformed gas of \(p, q\)-bosons: virial expansion and virial coefficients. Zbl 1253.82008
Gavrilik, A. M.; Rebesh, A. P.
5
2012
On Casimir elements of \(q\)-algebras \(U_q'(so_n)\) and their eigenvalues in representations. Zbl 0960.81039
Gavrilik, A. M.; Iorgov, N. Z.
4
2000
Representations of the \(q\)-deformed algebras \(U_ q(so_{2,1})\) and \(U_ q(so_{3,1})\). Zbl 0809.17010
Gavrilik, A. M.; Klimyk, A. U.
4
1994
Quasi-Fibonacci oscillators. Zbl 1191.81135
Gavrilik, A. M.; Kachurik, I. I.; Rebesh, A. P.
3
2010
Plethora of \(q\)-oscillators possessing pairwise energy level degenracy. Zbl 1145.81375
Gavrilik, A. M.; Rebesh, A. P.
3
2008
\(q\)-deformed algebras \(U_q(so_n)\) and their representations. Zbl 0934.17006
Gavrilik, A. M.; Iorgov, N. Z.
3
1997
The symmetric Tamm-Dancoff \(q\)-oscillator: the representation, quasi-Fibonacci nature, accidental degeneracy and coherent states. Zbl 1391.81028
Chung, Won Sang; Gavrilik, A. M.; Kachurik, I. I.; Rebesh, A. P.
2
2014
Energy dependence of the entanglement entropy of composite boson (quasiboson) systems. Zbl 1267.81065
Gavrilik, A. M.; Mishchenko, Yu A.
2
2013
Three-parameter (two-sided) deformation of Heisenberg algebra. Zbl 1257.81040
Gavrilik, A. M.; Kachurik, I. I.
2
2012
Quasibosons composed of two \(q\)-fermions: realization by deformed oscillators. Zbl 1230.81058
Gavrilik, A. M.; Kachurik, I. I.; Mishchenko, Yu A.
2
2011
Quantum algebras in phenomenological description of particle properties. Zbl 1006.81093
Gavrilik, A. M.
2
2001
\(q\)-Serre relations in \(U_ q(u_ n)\) and \(q\)-deformed meson mass sum rules. Zbl 0811.17031
Gavrilik, A. M.
2
1994
Analysis of the representations of the Lorentz and Euclidean groups of \(n\)-th order. (Analiz predstavlenii n-mernyh grupp Lorenca i Evklida.) Preprint. Zbl 0341.20029
Gavrilik, A. M.; Klimyk, A. U.
2
1975
New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra. Zbl 1335.81090
Gavrilik, A. M.; Kachurik, I. I.
1
2016
Correlation function intercepts for \(\widetilde{\mu}, q\)-deformed Bose gas model implying effective accounting for interaction and compositeness of particles. Zbl 1328.81265
Gavrilik, A. M.; Mishchenko, Yu. A.
1
2015
Deformed oscillators with two double (pairwise) degeneracies of energy levels. Zbl 1193.81059
Gavrilik, Alexandre M.; Rebesh, Anastasiya P.
1
2007
Combined analysis of two- and three-particle correlations in \(q,p\)-Bose gas model. Zbl 1133.81345
Gavrilik, Alexandre M.
1
2006
Can the Cabibbo mixing originate from noncommutative extra dimensions? Zbl 1248.81270
Gavrilik, Alexandre
1
2001
\(q\)-deformed inhomogeneous algebras \(U_{q}(\text{iso}_{n})\) and their representations. Zbl 1054.81024
Gavrilik, A. M.; Iorgov, N. Z.
1
1997
The representations of \(U_ q (\text{so}_ 4)\) and \(U_ q (\text{so}_{3,1})\). Zbl 0848.17008
Gavrilik, A. M.
1
1993
Die Clebsch-Gordan-Koeffizienten der Gruppe SL (2,C). Zbl 0241.22026
Gavrilik, A. M.
1
1972
New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra. Zbl 1335.81090
Gavrilik, A. M.; Kachurik, I. I.
1
2016
Correlation function intercepts for \(\widetilde{\mu}, q\)-deformed Bose gas model implying effective accounting for interaction and compositeness of particles. Zbl 1328.81265
Gavrilik, A. M.; Mishchenko, Yu. A.
1
2015
The symmetric Tamm-Dancoff \(q\)-oscillator: the representation, quasi-Fibonacci nature, accidental degeneracy and coherent states. Zbl 1391.81028
Chung, Won Sang; Gavrilik, A. M.; Kachurik, I. I.; Rebesh, A. P.
2
2014
Energy dependence of the entanglement entropy of composite boson (quasiboson) systems. Zbl 1267.81065
Gavrilik, A. M.; Mishchenko, Yu A.
2
2013
Entanglement in composite bosons realized by deformed oscillators. Zbl 1260.81072
Gavrilik, A. M.; Mishchenko, Yu. A.
7
2012
Deformed gas of \(p, q\)-bosons: virial expansion and virial coefficients. Zbl 1253.82008
Gavrilik, A. M.; Rebesh, A. P.
5
2012
Three-parameter (two-sided) deformation of Heisenberg algebra. Zbl 1257.81040
Gavrilik, A. M.; Kachurik, I. I.
2
2012
Quasibosons composed of two \(q\)-fermions: realization by deformed oscillators. Zbl 1230.81058
Gavrilik, A. M.; Kachurik, I. I.; Mishchenko, Yu A.
2
2011
Quasi-Fibonacci oscillators. Zbl 1191.81135
Gavrilik, A. M.; Kachurik, I. I.; Rebesh, A. P.
3
2010
Plethora of \(q\)-oscillators possessing pairwise energy level degenracy. Zbl 1145.81375
Gavrilik, A. M.; Rebesh, A. P.
3
2008
A \(q\)-oscillator with “accidental” degeneracy of energy levels. Zbl 1116.81034
Gavrilik, A. M.; Rebesh, A. P.
10
2007
Deformed oscillators with two double (pairwise) degeneracies of energy levels. Zbl 1193.81059
Gavrilik, Alexandre M.; Rebesh, Anastasiya P.
1
2007
Combined analysis of two- and three-particle correlations in \(q,p\)-Bose gas model. Zbl 1133.81345
Gavrilik, Alexandre M.
1
2006
Multi-particle correlations in \(qp\)-Bose gas model. Zbl 1047.82002
Adamska, L. V.; Gavrilik, A. M.
11
2004
Quantum algebras in phenomenological description of particle properties. Zbl 1006.81093
Gavrilik, A. M.
2
2001
Can the Cabibbo mixing originate from noncommutative extra dimensions? Zbl 1248.81270
Gavrilik, Alexandre
1
2001
On Casimir elements of \(q\)-algebras \(U_q'(so_n)\) and their eigenvalues in representations. Zbl 0960.81039
Gavrilik, A. M.; Iorgov, N. Z.
4
2000
\(q\)-deformed algebras \(U_q(so_n)\) and their representations. Zbl 0934.17006
Gavrilik, A. M.; Iorgov, N. Z.
3
1997
\(q\)-deformed inhomogeneous algebras \(U_{q}(\text{iso}_{n})\) and their representations. Zbl 1054.81024
Gavrilik, A. M.; Iorgov, N. Z.
1
1997
Representations of the \(q\)-deformed algebras \(U_ q(so_{2,1})\) and \(U_ q(so_{3,1})\). Zbl 0809.17010
Gavrilik, A. M.; Klimyk, A. U.
4
1994
\(q\)-Serre relations in \(U_ q(u_ n)\) and \(q\)-deformed meson mass sum rules. Zbl 0811.17031
Gavrilik, A. M.
2
1994
The representations of \(U_ q (\text{so}_ 4)\) and \(U_ q (\text{so}_{3,1})\). Zbl 0848.17008
Gavrilik, A. M.
1
1993
\(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations. Zbl 0735.17020
Gavrilik, A. M.; Klimyk, A. U.
30
1991
Representation matrix elements and Clebsch-Gordan coefficients of the semisimple Lie groups. Zbl 0416.22017
Klimyk, A. U.; Gavrilik, A. M.
20
1979
The representations of the groups \(U(n,1)\) and \(SO_0(n,1)\). (Predstavlenija grupp \(U(n,1)\) i \(SO_0(n,1)\)). Zbl 0337.22020
Klimyk, A. U.; Gavrilik, A. M.
8
1976
Analysis of the representations of the Lorentz and Euclidean groups of \(n\)-th order. (Analiz predstavlenii n-mernyh grupp Lorenca i Evklida.) Preprint. Zbl 0341.20029
Gavrilik, A. M.; Klimyk, A. U.
2
1975
Die Clebsch-Gordan-Koeffizienten der Gruppe SL (2,C). Zbl 0241.22026
Gavrilik, A. M.
1
1972
all top 5

Cited by 109 Authors

17 Klimyk, Anatoliy Ul’yanovich
10 Gavrilik, Alexandre M.
7 Algin, Abdullah
5 Kachurik, Ivan I.
4 Chung, Won-Sang
4 Molev, Alexander I.
4 Ragoucy, Eric
3 Baseilhac, Pascal
3 Crampé, Nicolas
3 Gruber, Bruno J.
3 Havlíček, Miloslav
3 Knapp, Anthony William
3 Pošta, Severin
3 Rebesh, Anastasiya P.
3 Vinet, Luc
3 Wenzl, Hans
2 Baldoni-Silva, Maria Welleda
2 Belliard, Samuel
2 Brito, Francisco A.
2 Chesman, Carlos
2 Dil, Emre
2 Draayer, Jerry P.
2 Frappat, Luc
2 Gaboriaud, Julien
2 Kaszlikowski, Dagomir
2 Kurzyński, Paweł
2 Letzter, Gail
2 Marinho, André A.
2 Noumi, Masatoshi
2 Pan, Feng
2 Petkova, Valentina B.
2 Rozenblyum, Alexander V.
2 Tirao, Juan
2 Umeda, Tôru
2 Wakayama, Masato
2 Xu, Yongjun
1 Ališauskas, Sigitas
1 Arik, Metin
1 Arjika, Sama
1 Atakishiev, Natig M.
1 Atakishiyev, M. N.
1 Basile, Thomas
1 Bekaert, Xavier
1 Biedenharn, Lawrence C. jun.
1 Boulanger, Nicolas
1 Brega, Alfredo O.
1 Cadavid, A. C.
1 Cárcamo Hernández, Antonio E.
1 Chekhov, Leonid O.
1 Chuan, Tan Kok
1 De Bie, Hendrik
1 Dobrev, Vladimir K.
1 Doikou, Anastasia
1 Eguchi, Masaaki
1 Finkelstein, Robert J.
1 Genest, Vincent X.
1 Gow, Lucy
1 Groza, Valentyna A.
1 Grünbaum, Francisco Alberto
1 Hounkonnou, Mahouton Norbert
1 Howe, Roger Evans
1 Huang, Hau-wen
1 Huang, Hua-Lin
1 Huang, Huajun
1 Ilik, Erkan
1 Jagannathan, Ramaswamy
1 Kachuryk, Ivan I.
1 Kamsrisuk, Nattapong
1 Khan, Sameen Ahmed
1 Kocabicakoglu, Deniz
1 Koizumi, Shin
1 Kolb, Stefan
1 Lee, Su-Yong
1 Li, Youning
1 Lohé, M. A.
1 Loke, Hung Yean
1 Maekawa, Takayoshi
1 Månsson, Teresia
1 Mazzocco, Marta
1 Ntouyas, Sotiris K.
1 Pacharoni, Inés
1 Pawełczyk, Jacek
1 Pellegrini, Jacopo
1 Pimenta, Rodrigo A.
1 Promsakon, Chanon
1 Raeisi, Sadegh
1 Ramanathan, Ravishankar
1 Ruan, Dong
1 Schmüdgen, Konrad
1 Soeda, Akihito
1 Sorba, Paul
1 Sotkov, Galen M.
1 Speh, Birgit
1 Steinacker, Harold
1 Suszek, Rafał R.
1 Tan, Eng-Chye
1 Tariboon, Jessada
1 Thilagam, Alagu
1 Thompson, Jayne
1 Vilenkin, Naum Yakovlevich
...and 9 more Authors

Citations by Year