Ֆիզիկայի ֆակուլտետ
Faculty of Physics
The process of training specialists in the field of physics and mathematics began in 1922 in YSU.:
>
Tigran S. Hakobyan

Lecturer | Academician Gourgen Sahakyan's Chair of Theoretical Physics
Education
1989: Graduated from Department of Physics, Yerevan State University (YSU)
1989 - 1992: Postgraduate Student, Department of Physics, YSU
.
Academic degree
1996 Candidate in Theoretical and Mathematical Physics, from Yerevan Physics Institute. Thesis title: R-matrices and Quantum Groups
2006 Doctor of Scince in Physics, from Yerevan State University. Thesis title: Exact Methods in One-Dimensional and Quasi-One-Dimensional Systems

Professional experience
1993 - 1998 Junior researcher, Theoretical Physics Division, Yerevan Physics Institute
1996 - 1998 Lectuter, Theory Department of Physics Faculty, Yerevan State Univer¬sity
1998 - 1999 PhD, Condensed Matter Physics Dep., CEA, Saclay, France
2003 - 2005 Dotsent, Physics Department of Faculty of Nat¬ural Sciences, Ijevan branch of YSU
1999 - 2013 Researcher, Theoretical Physics Division, Yerevan Physics Institute
2005 - 2013 Assistant Prof., Theory Department of Physics Faculty, YSU
2007 - 2013 Researcher, Laboratory of Theoretical Physics, Yerevan State University
2013 - Senior researcher, Laboratory of Theoretical Physics, Yerevan State University
2013 - Dotsent, Theory Department of Physics Faculty, YSU

Academic courses
During last years, I taught the following courses
• Quantum Mechanics
• Theoretical Mechanics
• Group Theory
• Gauge Field Theory
• Computational Methods in Physics
• Computer Science (Informatics) (Ijevan branch of YSU)

Scale of professional interests
Integrable models in quantum field theory and sta¬tistical physics, Calogero models, antiferromagnetism, quantum spin chains, spin ladder models, exact methods in condensed matter physics, computer simulations of spin systems

Participation in grant projects
• Grant NFSAT-UCEP-06/07.
• Grant ANSEF-1386-PS.
• INTAS grants #840, #96-524, #99-01459, #05-7928
• Grants A-102 and A-829 of the ISTC.
• Grant of Volkswagen Foundation of Germany.
• Swiss SCOPE grant.
• Grant 211-5291 YPI of the Bundesministerium fur Forschung und Technologie.
• NATO Linkage Grant LG 9303057.
• ANSEF grants #2908, #1386.
• Grant NFSAT-UCEP-06/07.
• Grants of Volkswagen Foundation of Germany

Languages
Armenian, Russian, English

Integrability of Calogero-Coulomb Problems
2017 | Article
Physics of Particles and Nuclei Letters. 2017, 14, pp. 331-335
Tigran Hakobyan , Armen Nersessian , Hovhannes Shmavonyan
Constants of Motion in Deformed Oscilaltor and Coulomb Systems
2017 | Article
Physics of Particles and Nuclei Letters. 2017, 14, pp. 400-402
|
Symmetries in superintegrable deformations of oscillator and Coulomb systems: Holomorphic factorization
2017 | Article
Physical Review D. 2017, 95, 025014 p.
|
Two-center Coulomb Problem with Calogero Interaction
2017 | Article
Physics of Atomic Nuclei. 2017, 80 2., pp. 383-388
|
Tigran Hakobyan , Armen Nersessian , Hovhannes Shmavonyan
Lobachevsky geometry in TTW and PW systems
2017 | Article
Physics of Atomic Nuclei. 2017, 80.3, pp. 591-597
|
Tigran Hakobyan , Armen Nersessian , M. M. Sheikh-Jabbari
Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
2017 | Article
Physics Letters B. 2017, 722, pp. 586-591
|
Calogero model and its generalization
2017 | Article
Вестник Российско-Армянского Университета: Физико-математические и естественные науки. 2017, 1, стр. 91-95
|
Coulomb systems with Calogero interaction (Կալոջերոյի փոխազդեցությամբ Կուլոնյան համակարգերը)
2016 | Article
ԵՊՀ գիտական տեղեկագիր, Ֆիզիկա և մաթեմատիկա, 2016, #3, 15-19
|
Francisco Correa, Tigran Hakobyan , Olaf Lechtenfeld
Spherical Calogero model with oscillator/Coulomb potential: Classical case
2016 | Article
Physical Review D. 2016, 93,12, 125008,9 p.
|
Francisco Correa, Tigran Hakobyan , Olaf Lechtenfeld, Armen Nersessian
Spherical Calogero model with oscillator/Coulomb potential: Quantum case
2016 | Article
Physical Review D. 2016, 93, 125009 p.
Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems
2016 | Article
Physical Review D. 2016, 93,4, 045025,14 pp.
|
Runge-Lenz vector in Calogero-Coulomb problem
2015 | Article
Physical Review A, USA, 2015, 92, 22111 p.
|
Lowest-energy states in parity-transformation eigenspaces of SO(N) spin chain
2015 | Article
Nuclear Physics B, Netherlands, 2015, 898, 248-258 pp.
|
Tigran Hakobyan , Misha Feigin
On Dunkl angular momenta algebra
2015 | Article
Journal of High Energy Physics, Italy, 2015, 11, 107, 22 p.
|
Superintegrability of generalized Calogero model with oscillator or Coulomb potential
2014 | Article
Phys. Rev. D 90 (2014) 101701(R)
T. Hakobyan , D. Karakhanyan, O. Lechtenfeld
The structure of invariants in conformal mechanics
2014 | Article
Nucl. Phys. B 886, 399-420, 2014
Superintegrability of generalized Calogero models with oscillator or Coulomb potential
2014 | Article
Phys. Rev. D 90, 101701(R), 2014
T. Hakobyan , O. Lechtenfeld, A. Nersessian
The spherical sector of the Calogero model as a reduced matrix model
2012 | Article
Nuclear Physics B 858, 250-266 (2012)
|
T.Hakobyan , O.Lechtenfeld, A.Nersessian , A.Saghatelian, V.Yeghikyan
Integrable generalizations of oscillator and Coulomb systems via action-angle variables
2012 | Article
Phys. Lett. A 376 (2012) 679–686
The spherical sector of the Calogero model as a reduced matrix model
2012 | Article
Nucl. Phys. B 858 (2012) 250-266
T. Hakobyan , O. Lechtenfeld, A. Nersessian , A. Saghatelyan
Invariants of the spherical sector in conformal mechanics
2011 | Article
Journal of Physics A 44, 055205 (2011)
|
Ordering of energy levels for extended SU(N) Hubbard chain
2010 | Article
SIGMA 6, 024 (2010)
|
T.Hakobyan , S.Krivonos, O.Lechtenfeld, A.Nersessian
Hidden symmetries of integrable conformal mechanical systems
2010 | Article
Phys.Lett. A374 (2010), 801-806
Cuboctahedric Higgs oscillator from the Calogero model
2009 | Article
J.Phys. A42 (2009), 205206
Lobachevsky geometry of (super)conformal mechanics
2009 | Article
Phys. Lett. A373 (2009), 1001-1004
Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange
2008 | Article
Phys. Rev. B 78, 012407 (2008)
|
Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder
2007 | Article
Phys. Rev. B 75, 214421 (2007)
|
The ordering of energy levels for SU(n) symmetric antiferromagnetic chains
2004 | Article
Nucl. Phys. B 699, 575-594 (2004)
|
T. Hakobyan , J.H. Hetherington, M. Roger
Phase diagram of the frustrated two-leg ladder model
2001 | Article
Phys. Rev. B 63, 144433-144449 (2001)
|
T. Hakobyan , A. Sedrakyan
On the universal R-matrix of U(q)sl(2) at roots of unity
1996 | Article
Commun. in Math. Phys, 177, 157-171 (1996)
|
T. Hakobyan , A. Sedrakyan
Spin chain Hamiltonians with affine U(q)g symmetry
1996 | Article
Physics Letters B 377, 250-254 (1996)
|