Tigran S. Hakobyan
Biography
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

Tigran S. Hakobyan

Associate Professor | Faculty of Physics - Academician Gourgen Sahakyan's Chair of Theoretical Physics
 
 

Article

H. Demirchian, T. Hakobyan, A. Nersessian, M. M. Shekh-Jabbari

Myers-Perry Conformal Mechanics | Physics of Particles and Nuclei, 2018, 49, 5, 860-864 pp.

Tigran Hakobyan, Armen Nersessian

Integrability of Calogero-Coulomb Problems | 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 | Physics of Particles and Nuclei Letters. 2017, 14, pp. 400-402 |

Tigran Hakobyan, Armen Nersessian

Symmetries in superintegrable deformations of oscillator and Coulomb systems: Holomorphic factorization | Physical Review D. 2017, 95, 025014 p. |

Tigran Hakobyan, Armen Nersessian

Two-center Coulomb Problem with Calogero Interaction | Physics of Atomic Nuclei. 2017, 80 2., pp. 383-388 |

Tigran Hakobyan, Armen Nersessian, Hovhannes Shmavonyan

Lobachevsky geometry in TTW and PW systems | 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 | Physics Letters B. 2017, 722, pp. 586-591 |

T. Hakobyan, A. Nersessian

Calogero model and its generalization | Вестник Российско-Армянского Университета: Физико-математические и естественные науки. 2017, 1, стр. 91-95 |

T. S. Hakobyan, A. P. Nersessian

Coulomb systems with Calogero interaction (Կալոջերոյի փոխազդեցությամբ Կուլոնյան համակարգերը) | 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 | 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 | Physical Review D. 2016, 93, 125009 p.

Tigran Hakobyan, Armen Nersessian

Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems | Physical Review D. 2016, 93,4, 045025, 14 pp. |

Tigran Hakobyan, Armen Nersessian

Runge-Lenz vector in Calogero-Coulomb problem | Physical Review A, USA, 2015, 92, 22111 p. |

Tigran Hakobyan

Lowest-energy states in parity-transformation eigenspaces of SO(N) spin chain | Nuclear Physics B, Netherlands, 2015, 898, 248-258 pp. |

Tigran Hakobyan, Misha Feigin

On Dunkl angular momenta algebra | Journal of High Energy Physics, Italy, 2015, 11, 107, 22 p. |

T.Hakobyan, O.Lechtenfeld, A.Nersessian

Superintegrability of generalized Calogero model with oscillator or Coulomb potential | Phys. Rev. D 90 (2014) 101701(R)

T. Hakobyan, D. Karakhanyan, O. Lechtenfeld

The structure of invariants in conformal mechanics | Nucl. Phys. B 886, 399-420, 2014

T. Hakobyan, O. Lechtenfeld , A. Nersessian

Superintegrability of generalized Calogero models with oscillator or Coulomb potential | 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 | 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 | Phys. Lett. A 376 (2012) 679–686

T.Hakobyan, O.Lechtenfeld, A.Nersessian

The spherical sector of the Calogero model as a reduced matrix model | Nucl. Phys. B 858 (2012) 250-266

T. Hakobyan, O. Lechtenfeld, A. Nersessian, A. Saghatelyan

Invariants of the spherical sector in conformal mechanics | Journal of Physics A 44, 055205 (2011) |

T. Hakobyan

Ordering of energy levels for extended SU(N) Hubbard chain | SIGMA 6, 024 (2010) |

T.Hakobyan, S.Krivonos, O.Lechtenfeld, A.Nersessian

Hidden symmetries of integrable conformal mechanical systems | Phys.Lett. A374 (2010), 801-806

T.Hakobyan, A.Nersessian, V.Yeghikyan

Cuboctahedric Higgs oscillator from the Calogero model | J.Phys. A42 (2009), 205206

T.Hakobyan, A.Nersessian

Lobachevsky geometry of (super)conformal mechanics | Phys. Lett. A373 (2009), 1001-1004

T. Hakobyan

Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange | Phys. Rev. B 78, 012407 (2008) |

T. Hakobyan

Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder | Phys. Rev. B 75, 214421 (2007) |

T. Hakobyan

The ordering of energy levels for SU(n) symmetric antiferromagnetic chains | Nucl. Phys. B 699, 575-594 (2004) |

T. Hakobyan, J.H. Hetherington, M. Roger

Phase diagram of the frustrated two-leg ladder model | 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 | Commun. in Math. Phys, 177, 157-171 (1996) |

T. Hakobyan , A. Sedrakyan

Spin chain Hamiltonians with affine U(q)g symmetry | Physics Letters B 377, 250-254 (1996) |