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1

Representation matrix elements and Clebsch–Gordan coefficients of the semisimple Lie groups

Klimyk, A. U., Gavrilik, A. M.

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 1.54 MB

english, 1979

2

Representations of the q-deformed algebras Uq(so2,1) and Uq(so3,1)

Gavrilik, A. M., Klimyk, A. U.

Journal:

Journal of Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 1.47 MB

english, 1994

3

Infinitesimal operators and structure of the representations of the groups SO∗(2n) and SO(2n) in a U(n) basis and of the groups SU∗(2n) and SU(2n) in an Sp(n) basis

Klimyk, A. U., Gavrilik, A. M.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 898 KB

english, 1984

4

Quantum algebras in phenomenological description of particle properties

Journal:

Nuclear Physics B - Proceedings Supplements

Year:

2001

Language:

english

File:

PDF, 568 KB

english, 2001

5

q-Deformed orthogonal and pseudo-orthogonal algebras and their representations

A. M. Gavrilik, A. U. Klimyk

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 278 KB

english, 1991

6

Two-particle correlations from theq-Boson viewpoint

D.V. Anchishkin, A.M. Gavrilik, N.Z. Iorgov

Journal:

The European Physical Journal A / Hadrons and Nuclei

Year:

2000

Language:

english

File:

PDF, 211 KB

english, 2000

7

Evaluation and optimization of the viability of entities in the chemical industry

Yu A. Ryumin, S. V. Mikhailovskii, O. V. Gavrilik

Journal:

Chemical and Petroleum Engineering

Year:

2011

Language:

english

File:

PDF, 135 KB

english, 2011

8

Intercepts of the momentum correlation functions in the( mu)-Bose gas model and their asymptotics

A. M. Gavrilik, A. P. Rebesh

Journal:

The European Physical Journal A / Hadrons and Nuclei

Year:

2011

Language:

english

File:

PDF, 561 KB

english, 2011

9

The representations ofUq(SO4) andUq(SO3,1)

Journal:

Theoretical and Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 494 KB

english, 1993

10

Clebsch-Gordan coefficients for SL(2, C)

Journal:

Theoretical and Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 573 KB

english, 1972

11

Gell-mann-low function of the chiral model on the homogeneous berger space

Journal:

Theoretical and Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 323 KB

english, 1985

12

Geometry in nonlinear quantumlike models on stiefel manifolds and bifurcations of associated autonomous systems

Journal:

Ukrainian Mathematical Journal

Year:

1991

Language:

english

File:

PDF, 922 KB

english, 1991

13

Intertwining operators for U(n, 1)

A. M. Gavrilik, A. U. Klimyk

Journal:

Ukrainian Mathematical Journal

Year:

1976

Language:

english

File:

PDF, 388 KB

english, 1976

14

Entanglement in composite bosons realized by deformed oscillators

A.M. Gavrilik, Yu.A. Mishchenko

Journal:

Physics Letters A

Year:

2012

Language:

english

File:

PDF, 169 KB

english, 2012

15

Quasibosons composed of two q-fermions: realization by deformed oscillators

Gavrilik, A M, Kachurik, I I, Mishchenko, Yu A

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 288 KB

english, 2011

16

Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model

A.M. Gavrilik, Yu.A. Mishchenko

Journal:

Physics Letters A

Year:

2012

Language:

english

File:

PDF, 522 KB

english, 2012

17

A q-OSCILLATOR WITH "ACCIDENTAL" DEGENERACY OF ENERGY LEVELS

GAVRILIK, A. M., REBESH, A. P.

Journal:

Modern Physics Letters A

Year:

2007

Language:

english

File:

PDF, 245 KB

english, 2007

18

PLETHORA OF q-OSCILLATORS POSSESSING PAIRWISE ENERGY LEVEL DEGENERACY

GAVRILIK, A. M., REBESH, A. P.

Journal:

Modern Physics Letters A

Year:

2008

Language:

english

File:

PDF, 277 KB

english, 2008

19

THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA

GAVRILIK, A. M., KACHURIK, I. I.

Journal:

Modern Physics Letters A

Year:

2012

Language:

english

File:

PDF, 240 KB

english, 2012

20

DEFORMED GAS OF p, q-BOSONS: VIRIAL EXPANSION AND VIRIAL COEFFICIENTS

GAVRILIK, A. M., REBESH, A. P.

Journal:

Modern Physics Letters B

Year:

2012

Language:

english

File:

PDF, 695 KB

english, 2012

21

The symmetric Tamm–Dancoff q -oscillator: the representation, quasi-Fibonacci nature, accidental degeneracy and coherent states

Sang Chung, Won, M Gavrilik, A, I Kachurik, I, P Rebesh, A

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 287 KB

english, 2014

22

Multiparameter Deformations of the Algebra gl n in Terms of Anyonic Oscillators

Gavrilik, A.M., Iorgov, N.Z.

Journal:

Journal of Nonlinear Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 191 KB

english, 1996

23

-deformed Bose gas model related to compositeness of particles and their interaction: Temperature-dependence problem

Gavrilik, A. M., Mishchenko, Yu. A.

Journal:

Physical Review E

Year:

2014

Language:

english

File:

PDF, 155 KB

english, 2014

24

SELF-INTERACTION ANISOTROPY OF STIEFEL SYSTEMS OF GOLDSTONIONS

Journal:

Modern Physics Letters A

Year:

1989

File:

PDF, 255 KB

1989

25

Energy dependence of the entanglement entropy of composite boson (quasiboson) systems

Gavrilik, A M, Mishchenko, Yu A

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 800 KB

english, 2013

26

Correlation function intercepts for μ

Gavrilik, A.M., Mishchenko, Yu.A.

Journal:

Nuclear Physics B

Year:

2015

Language:

english

File:

PDF, 1.09 MB

english, 2015

27

Polynomially deformed oscillators as k -bonacci oscillators

Gavrilik, A M, Rebesh, A P

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 210 KB

english, 2010

28

Conference on Group-Theory Methods in Physics

A. U. Klimyk, A. M. Gavrilik

Year:

1978

Language:

english

File:

PDF, 221 KB

english, 1978

29

q-Serre relations in Uq(un) and q-deformed meson mass sum rules

Year:

1994

Language:

english

File:

PDF, 194 KB

english, 1994

30

Multi-particle correlations in qp -Bose gas model

Adamska, L V, Gavrilik, A M

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 126 KB

english, 2004

31

New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra

Gavrilik, A. M., Kachurik, I. I.

Journal:

Modern Physics Letters A

Year:

2016

Language:

english

File:

PDF, 208 KB

english, 2016

32

Targeting by the States: The Basic Issues || Education Aid in New York State: Targeting Issues and Measures

Lois Wilson and Joan Gavrilik

Journal:

Publius: The Journal of Federalism

Year:

1989

Language:

english

File:

PDF, 1.49 MB

english, 1989

33

q-BOSON APPROACH TO MULTIPARTICLE CORRELATIONS

ANCHISHKIN, D. V., GAVRILIK, A. M., IORGOV, N. Z.

Journal:

Modern Physics Letters A

Year:

2000

Language:

english

File:

PDF, 241 KB

english, 2000

34

International Conference on Quantum Science and Applications (ICQSA-2016)

Algin, A., Arik, M., Gavrilik, A. M.

Journal:

Journal of Physics Conference Series

Year:

2016

Language:

english

File:

PDF, 687 KB

english, 2016

35

Education Aid in New York State: Targeting Issues and Measures

Wilson, Lois, Gavrilik, Joan

Journal:

Publius: The Journal of Federalism

Year:

1989

Language:

english

File:

PDF, 1.01 MB

english, 1989

36

-Bose gas as a model of dark matter

Gavrilik, A.M., Kachurik, I.I., Khelashvili, M.V., Nazarenko, A.V.

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2018

Language:

english

File:

PDF, 752 KB

english, 2018

37

Geometric Aspects and Some Uses of Deformed Models of Thermostatistics

Gavrilik, Alexandre

Journal:

Year:

2018

Language:

english

File:

PDF, 369 KB

english, 2018

38

Photon gas at the Planck scale within the doubly special relativity

Chung, W.S., Gavrilik, A.M., Nazarenko, A.V.

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2019

Language:

english

File:

PDF, 685 KB

english, 2019

39

Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators

Gavrilik, Alexandre, Kachurik, Ivan

Journal:

Modern Physics Letters A

Year:

2019

File:

PDF, 273 KB

2019

40

Statistics effects in extremal black holes ensemble

Gavrilik, A. M., Nazarenko, A. V.

Journal:

International Journal of Modern Physics A

Year:

2019

File:

PDF, 344 KB

2019

41

Bose-Einstein condensate dark matter model with three-particle interaction and two-phase structure

Gavrilik, A.âM., Khelashvili, M.âV., Nazarenko, A.âV.

Journal:

Physical Review D

Year:

2020

File:

PDF, 715 KB

2020