Jamil Daboul

---

, In Hokkaido ,

Contact

• Prof. Jamil Daboul,
  Physics Department, Ben Gurion University,
  PO Box 653, Beer-Sheva 84105,
  ISRAEL
• E-mail: daboul at bgu.ac.il , jdaboul at gmail.com
• Phones: Office (08)6472132, Mobile 050 666 9132, Home +972-3-5747306
• Fax: +972-8-6472904
• URL: http://www.bgu.ac.il/~daboul/

Personal Details

• Place of Birth: Baghdad, Iraq.
• Languages: Arabic, English, German, Hebrew and some French and Spanish.

Research Experience and Interests

• Mathematical Physics: Dynamical symmetries, Kac-Moody algebras, generalized Dynkin diagrams,
  representations of the symmetric group S_N; Group action, orbits, fixed points, Bell and Stirling numbers.
  Inonu-Wigner and generalized contractions,
  Octonions,
  implicitly-defined Hamiltonians (the mass depends on distance) and curvature,
  nonlinear models, nonlinear stabilized multi-phase oscillators.
• Quantum computation: Hybrid gates, entanglement generation and their measures.
• Dirac and Yang magnetic monopoles, Levi Cevita, Kustaanheimo-Stiefel and Hurwitz Transformations.
• Singular potentials: bound states, regularization, self-adjoint extension of unbounded operators.
• Symmetries of differential equations and application to pseudo-diffusion equation.
• Wigner functions, squeezed states, coherent states, generalized Hermite and heat polynomials.
• High-energy physics: Dispersion relations, N/D calculations, crossing matrix and kinematic singularities,
  quark model, Regge pole model,
  inequalities for density matrices and application to the production of vector mesons,
  electromagnetic mass difference,
  baryon-baryon and meson-baryon scattering in the eikonal approximation,
  symmetries of scattering amplitudes.
• Heisenberg spin cluster.
• Electromagnetic scattering and radiation, runaway solutions and radiation reaction.
• Neural Networks: Hopfield model.

Research Summary

• For about 15 years I worked on many different areas of high-energy physics.
• In recent years my research has been mainly on mathematical physics, in particular on dynamical symmetries,
  infinite-dimensional Kac-Moody algebras, Inonu-Wigner contractions and group action.

List of Publications (PDF)

Collaborations (2 -or more- joint papers )

• Robert Delbourgo, Hobart, Australia
• Salomon S. Mizrahi, Sao Carlos/SP, Brazil
• Barry Sanders, Calgary, Canada
• Marc de Montigny, Edmonton, Canada
• Pavel Winternitz, Montreal, Canada
• Claudia Daboul, Hamburg, Germany
• Ben Zion Kaplan, Beer Sheva, Israel
• Michael M. Nieto, Los Alamos, USA
• Bernardo Wolf, Cuernavaca, Mexico

Teaching Experience

• Electrodynamics I and II .
• Group Theory in Physics.
• Mathematical Physics II .
• Quantum Mechanics I, II.
• Elementary particles.
• Introduction to general relativity.
• Solid-State physics I.
• Statistical Mechanics.
• Field Theory.
• Nuclear Physics.
• Algebra II.
• Physics I (for Geography students).
• Physics II (for Engineers).
• Physics I and II, incl. Lab. (for Pre-med students in the US).
• Two special courses on modern mathematics ( In Arabic, for high-school teachers from the Gaza Strip);
  A special community-service project requested by BGU administration in 1981.

Selected Publications

• Claudia Daboul, J. Daboul and Marc de Montigny, How to embed 'open' Lie superalgebras into affine Kac-Moody superalgebras , J. Phys.: Conf. Ser. 284, 012018 (2011); (Free download - 10 pages)
• C. Daboul, J. Daboul and Marc de Montigny , Embedding of superalgebras into affine Kac-Moody superalgebras, J. Math. Phys. 51, 053521-15 (2010)
• C. Daboul, J. Daboul and Marc de Montigny , Gradings and contractions of affine Kac-Moody algebras , J. Math. Phys. 49, 063509-17 (2008)
• J. Daboul, Contraction of Broken Symmetries via Kac-Moody Formalism , J. Math. Phys. 47, 083507-13 (2006); arxiv: math-ph/0608008
• J. Daboul and K. B. Wolf , Noncommuting contractions of oscillators with constant force, J. Phys. A: Math. Gen. 39, 4173-4180, 2006
• J. Daboul and Salomon S. Mizrahi , O(N) symmetries, sum rules for generalized Hermite polynomials and squeezed states, J. Phys. A: Math. Gen. 38, 427-448, 2005
• Patricio Cordero and J. Daboul , Analysis of the SGA method for obtaining energy spectra, J. Math. Phys. 46, 053507 (2005); arXiv: quant-ph/0503011
• J. Daboul, Xiaoguang Wang, and Barry C. Sanders , Quantum gates on hybrid qudits, J. Phys. A: Math. Gen. 36 (10), 2525-2536, 2003; quant-ph/0211185
• Jamil Daboul and Pavel Winternitz, Time-dependent realization of the infinite-dimensional hydrogen algebra, Physics Letters A 282 (3), 163-168 (2001) SummaryPlus | Full Text + Links | PDF (78 K)
• J. Daboul and Mark Hickman , New Hamiltonians with closed orbits , Physics Letters 267, Issue 4, 232-239, 2000
• Jamil Daboul and Robert Delbourgo , Matrix Representation of Octonions and Generalizations, J. Math. Phys. 40, 4134-4150 (1999); hep-th/9906065
• Claudia Daboul and Jamil Daboul , From hydrogen atom to generalized Dynkin diagrams, Physics Letters B, 425, 135-144, 1998 FullText + Links | PDF (155 K)
• J. Daboul and Michael Martin Nieto , Exact, E=0, classical solutions for general power-law potential, Phys. Rev. E. 52, 4430 (1995), PDF ; hep-th/9408057
• J. Daboul and Michael Martin Nieto , Abstract Quantum bound states with zero binding energy, Physics Letters A, 190, 357-362, 1994; hep-th/9405154
• Jamil Daboul, Peter Slodowy and Claudia Daboul , , The hydrogen algebra as a centerless twisted Kac-Moody algebra, Physics Letters B, 317, 321-328, 1993 (Abstract)

External Links

1. E-Print Archive mirror site at Tel Aviv University
2. Journal lists: Tel-Aviv University, Ben-Gurion University.
3. ISI Web of Knowledge (Journal Citation Reports)
4. Inspec
5. Physical Review Letters PRL
6. ALEPH BGU Database
7. Latex Symbols, Physics Encyclopedia, general Encyclopedia, How stuff works.
8. Jeruslem Post Newspaper (English)
   Haaretz Newspaper (English)
   Israel Hayom Newspaper (Hebrew)
   Maariv Newspaper (Hebrew)
9. Hebrew Portals: IOL, Walla, Nana, Tapuz.
10. BGU Physics Department Homepage