Stjepan Meljanac

Stjepan Meljanac

dr. sc.

senior scientist, Head of Theoretical and mathematical physics group
+385 1 456 1121

1521

Krilo 1/210

Bijenicka cesta 54,
10000 Zagreb,
Croatia

Inspires

Education

1982 dr. sc.

Rudjer Boskovic Institute/ University of Zagreb

1979 mr. sc.

University of Zagreb

Specific research interests

noncommutative field theory

Projects

He was the principal investigator of the following national research projects funded by the Croatian Ministry of Science:

         1. Quantum field theory, noncommutative spaces and symmetries (2007-2013)

         2. Quantum field theory, noncommutative spaces and symmetries (2002 - 2006)

         3. Quantum field theory, statistics and symmetries  (1996 - 2002)

 

He was the principal investigator of bilateral projects:

          1. Integrable systems, French-Croatian project (1.1.2012 - 31.12.2012)

          2. Aspects of Calogero models, noncommutative geometry and quantum physics,   

             Indo- Croatian project (2006 - 2008)

Awards and Achievements

1979 – 1980 Institute "Gugliemo Marconi", Rome, Italy, fellowship "SIZ for science"

1983 Vinca Nuclear Research Institute, Belgrade, Serbia, fellowship "Inter-rupublic collaboration"

1984-1986 University of Dortmund, Germany

A. von Humboldt fellowship

1987 DIAS, Dublin, Ireland

1987-1988 University of Melbourne, Australia

Classes

1982-1984 undergraduate course Quantum Mechanics

1988-1994 undergraduate course Electrodynamics,

University of Osijek

1989-1995 undergraduate course Symmetries in Physics

1989-2014 graduate course Group theory

1992-2009 graduate course Group theory in crystallography,

University of Zagreb

Featured Publications

1.

SO(10) group theory for the unified model building
 Takeshi Fukuyama (Ritsumeikan U., Kusatsu), Amon Ilakovac (Zagreb U.), Tatsuru Kikuchi (Ritsumeikan U., Kusatsu), Stjepan Meljanac (Boskovic Inst., Zagreb), Nobuchika Okada (KEK, Tsukuba).

Published in J.Math.Phys. 46 (2005) 033505

2. General formulation for proton decay rate in minimal supersymmetric SO(10) GUT
 Takeshi Fukuyama (Ritsumeikan U., Kusatsu), Amon Ilakovac (Zagreb U.), Tatsuru Kikuchi (Ritsumeikan U., Kusatsu), Stjepan Meljanac (Boskovic Inst., Zagreb), Nobuchika Okada (KEK, Tsukuba).
 Published in Eur.Phys.J. C42 (2005) 191-203
3. Twisted statistics in kappa-Minkowski spacetime
 T.R. Govindarajan (IMSc, Chennai), Kumar S. Gupta (Saha Inst.), E. Harikumar (Hyderabad U.), S. Meljanac, D. Meljanac (Boskovic Inst., Zagreb).
 Published in Phys.Rev. D77 (2008) 105010
4. Kappa-Minkowski space-time and the star product realizations
 S. Meljanac, A. Samsarov, M. Stojic (Boskovic Inst., Zagreb), K.S. Gupta (Saha Inst.).
 Published in Eur.Phys.J. C53 (2008) 295-309
5. New realizations of Lie algebra kappa-deformed Euclidean space
 Stjepan Meljanac, Marko Stojic (Boskovic Inst., Zagreb).
 Published in Eur.Phys.J. C47 (2006) 531-539
6. Unified view of deformed single mode oscillator algebras
 S. Meljanac (Boskovic Inst., Zagreb), M. Milekovic, S. Pallua (Zagreb U.).
 Published in Phys.Lett. B328 (1994) 55-59
7. Covariant realizations of kappa-deformed space
 Sasa Kresic-Juric (Boskovic Inst., Zagreb), Stjepan Meljanac (Split U.), Marko Stojic (Boskovic Inst., Zagreb).
 Published in Eur.Phys.J. C51 (2007) 229-240
8. Symmetry breaking and mass spectra in supersymmetric SO(10) models
 X.G. He (Melbourne U.), S. Meljanac (Boskovic Inst., Zagreb).
 Published in Phys.Rev. D41 (1990) 1620-1629
9. Higgs masses in the minimal SUSY SO(10) GUT
 Takeshi Fukuyama (Ritsumeikan U., Kusatsu), Amon Ilakovac (Zagreb U.), Tatsuru Kikuchi (Ritsumeikan U., Kusatsu), Stjepan Meljanac (Boskovic Inst., Zagreb), Nobuchika Okada (KEK, Tsukuba).
 Published in Phys.Rev. D72 (2005) 051701
10. Harmonic oscillator with minimal length uncertainty relations and ladder operators
 Ivan Dadic, Larisa Jonke, Stjepan Meljanac (Boskovic Inst., Zagreb).
 Published in Phys.Rev. D67 (2003) 087701
11. Representations of noncommutative quantum mechanics and symmetries
 Larisa Jonke, Stjepan Meljanac (Boskovic Inst., Zagreb).
 Published in Eur.Phys.J. C29 (2003) 433-439
12. Stability of Spontaneous Symmetry Breaking in a Class of SO(10) Models
 J. Basecq (Zurich U.), S. Meljanac (Melbourne U.), L. O'Raifeartaigh (Dublin Inst.).
 Published in Phys.Rev. D39 (1989) 3110

Membership in professional associations / societies

Croatian physical society, 1980 -

A.v.Humboldt club, 1992 -

SEENET-MTP Southeastern European Network in Mathematical and Theoretical Physics, 1996 -

Miscellaneous

  • SUPERVISION OF DOCTORAL AND POSTDOCTORAL STUDENTS

1993-2014 Number of graduate: 9(A. Perica, Z. Škoda, H. Nikolić, K. Cetinić-Petris, A. Samsarov, L. Mikulandra, T. Jurić, M. Ledić, R. Štrajn)/

doctoral:6(A. Perica, M. Stojić, A. Samsarov, T. Jurić (in progres), B. Ivetić (in progres), D. Pikutić (in progres))

/ postdoctoral students:3 (M.Milekovic 1991-1994, L. Jonke 2000-2003, A. Samsarov 2009-2013)

Rudjer Boskovic Institute/University of Zagreb

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