Prof. Hatem Najar

Department of Mathematics
College of Science, Monastir university, Tunisia

Professor

Email: [email protected]

Qualifications

2000 Ph.D., Université Paris 13, France.

1997 M.Sc., Mathematical Sciences, University of Paris 13, France.

Publications (Selected)

1. H. Najar:Asymptotique de la densité d’états intégrée des opérateurs acoustiques aléatoires. C. R. Acad. Sci. Paris, 333 I, p 191-194 (2001)
2. H. Najar: Lifshitz tails for random acoustic operators. Jour. Math. Phys. 44 N ◦ 4 (2003) p 1842-1867.
3. H. Najar: Asymptotic behavior of the integrated density of states of acoustic operators with random long range perturbations. Jour. Stat. Phys. 115, no. 3-4, p 977-996 (2004).
4. H. Najar: The spectrum minimum for random Schrödinger operators with indefinite sign potentials. Jour. Math. Phys. 47 (2006), no. 1.
5. H. Najar: 2-Dimensional localization of acoustic waves in random perturbation of periodic media. Jour. Math. Anal. Appl. 322 (2006), no. 1, p 1-17.
6. H. Najar: Internal Lifshitz tails for discrete Schrödinger operators. Inter. Jour. Math. Math. Sci (2006).
7. H. Najar: Results dealing with the behavior of the integrated density of states of random divergence operators . C. R. Acad. Sci. Ser I (344) p 367-372; (2007).
8. H. Najar: Lifshitz tails for acoustic waves in random quantum waveguide . Jour. Stat. Phy. Vol 128 No 4, p 1093-1112 (2007).
9. H. Najar: Non-Lifshitz tails at the spectrum bottom of some random operators. Jour. Stat. Phy. (2008).
10. M. Marx, H. Najar: On the singular spectrum for adiabatic quasi-periodic Schrödinger Operators Ad- vances in Mathematical Physics Vol. 2010, Article ID 145436, 30 pages (2010). doi:10.1155/2010/145436.
11. H. Najar, O. Olendski: Localization properties of Dirichlet spatial quantum waveguide with two concentric Neumann disc windows J. Phys. A: Math. Theor. 44 (2011) 305304 doi:10.1088/1751- 8113/44/30/305304.
12. W. Kirsch, H. Najar: Lifshitz tails for continuous Laplacian in the site percolation case Random Operators and Stochastic Equations. Volume 22, Issue 2, Pages 109–117 (2014).
13. H. Najar, M. Raissi: A quantum waveguide with Aharonov-Bohm field. Math. Meth. App. Sciences (2015).
14. H. Boumaza, H. Najar: Lifshitz Tails For Continuous Matrix-valued Anderson Models J. Stat. Phys. 160(2), p 371-396. (2015).
15. H. Najar and M. Raissi: Eigenvalues asymptotics for Stark operators e-Journal of Analysis and Applied Mathematics 2019 (1), p. 1– 14, (2019).
16. H. Najar: Lifshitz Tails for Quantum Waveguides with Random Boundary Conditions. Math Phys Anal Geom 22, 17 (2019) doi:10.1007/s11040-019-9314-8.
17. A. S. Bagmutov, H. Najar, I. F. Melikhov, I. Y. Popov, : On the discrete spectrum of quantum layers with Neumann windows in the presence of external electric field. Nanosystems: Phys. Chem. Math. 2022, 13 (2), p. 156-164.
18. H. Najar and M. Zahri: Stark operators on finite intervals: Self-adjointness and spectrum. International Journal of Mathematics, Statistics and Operations Research 3 (1), p. 1-25. (2023).
19. H. Najar and R. Gargouri: A remark on the characterization of triangulated graphs. O. Jour. Discrete Mathematics, 13, p. 55-62 (2023).

Profile Details

https://fsm.rnu.tn/fra/profil/hatem_ennajar