Publications in Refereed Journals:
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H. Najar:Asymptotique de la densité d’états intégrée des opérateurs acoustiques aléatoires. C. R. Acad. Sci. Paris, 333 I, p 191-194 (2001)
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H. Najar: Lifshitz tails for random acoustic operators. Jour. Math. Phys. 44 N ◦ 4 (2003) p 1842-1867.
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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).
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H. Najar: The spectrum minimum for random Schrödinger operators with indefinite sign potentials.
Jour. Math. Phys. 47 (2006), no. 1
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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.
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H. Najar: Internal Lifshitz tails for discrete Schrödinger operators. Inter. Jour. Math. Math. Sci (2006).
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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).
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H. Najar: Lifshitz tails for acoustic waves in random quantum waveguide . Jour. Stat. Phy. Vol
128 No 4, p 1093-1112 (2007).
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H. Najar: Non-Lifshitz tails at the spectrum bottom of some random operators. Jour. Stat. Phy. (2008).
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H. Najar, S. Ben Hariz, M. Ben Salah On the Discrete Spectrum of a Spatial Quantum Waveguide with a Disc Window Mathematical Physics, Analysis and Geometry (2009)
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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
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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
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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).
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H. Najar, M. Raissi: A quantum waveguide with Aharonov-Bohm field. Math. Meth. App. Sciences (2015).
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H. Boumaza, H. Najar: Lifshitz Tails For Continuous Matrix-valued Anderson Models J. Stat. Phys. 160(2), p 371-396. (2015).
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H. Najar and M. Raissi: Eigenvalues asymptotics for Stark operators e-Journal of Analysis and Applied Mathematics 2019(1) (2019), p. 1 – 14.
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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.
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H. Najar and M. Zahri: Stark operators on finite intervals: Self-adjointness and spectrum submitted.
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R. Gargouri, H. Najar: A remark on the characterization of triangulated graphs. Subbmited.
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H. Najar, I. Y. Popov, A. S. Bagmutov, I. F. Melikhov: On the discrete spectrum of quantum layers with Neumann windows in the presence of external electric field. Work in progress.
Communication in internationals conferences
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First Franco-Tunisian days in PDE, Marsa, Tunisia 2001.
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Mediterranean Days in Mathematics and applications, Mars 2005, Tozeur; Tunisia.
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Stochastic Process in Mathematical Physics" New York University , Juin 2006.
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First and second spectral theory days in Sfax, Tunisia (2006-07, Sfax)
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Disordered Systems: Random Schrödinger Operators and Random Matrices, Mars 2008 Oberwolfach, Germany.
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Mathematics and Physics of Anderson Localization, July 2008, Cambridge university, United Kingdom.
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Quantum mathematics for disordered system. Universitis Paris 6-Paris 13, 28-30 May 2012.
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Mathematical Physics of Disordered Systems 13-17 May, 2013 Fer. Uni. Hagen, Germany.
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Spectra and Graphs, Jun 2013 Bizerte, Tunisia.
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Spectra of Random Operators and Related Topics Research Institute In Mathematical Sciences Kyoto University, Japan. 5-7 December 2013.
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Spectral and Scattering Theory and Related Topics: Research Institute In Mathematical Sciences Kyoto University, Japan. 11-13 December 2013.
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International conference on Advances in Applied Mathematics, Hammamet, Tunisia, 18-22 December 2013.
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Spectra and Graphs, Jun 2014 Bizerte, Tunisia.
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Mathematical Challenge of Quantum Transport in Nanosystems “Pierre Duclos Workshop"ITMO University, Saint Petersburg, Russia (September 14-16, 2020)
Conference Proceedings
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H. Najar: Asymptotique de la densité d’états intégrée des opérateurs acoustiques aléatoires. p 102-111 First Franco-Tunisien days in PDE, By B. Dahmen C. Zouili, J. Lebau (2001).
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H. Najar Spectral properties of a quantum waveguide with Neumann Window Spectral and Scattering Theory abd Related Topics : Edited by Takuya Mine, p 82-102, ISSN 1880-2818 N 6 (2014). http://hdl.handle.net/2433/223034
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H. Najar Spectral results on Quantum waveguide Advances in Applied Mathematics: International Conference on Advances in Applied Mathematics (ICAAM) 2013 Edited by A. Jeribi. Springer (2015).
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H. najar Introduction to Spectral Theory of Unbounded Operators, by H. Najar p1-34. Spectral Theory on Graphs and Manifolds, the CIMPA Research SMF; Seminaires et Congres Volume: 32; 2018 Edited by C. Anné: Laboratoire de Mathématiques Jean Leray, Nantes, France, N. Torki-Hamza.
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Igor Y. Popov, Alexander S. Bagmutov, Ivan F. Melikhov, and Hatem Najar Numerical analysis of multi-particle states in coupled nano-layers in electric field AIP Conference Proceedings 2293, 360006 (2020); https://doi.org/10.1063/5.0026539
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