Jamil Daboul
In Hokkaido
,
Contact
 Prof. Jamil Daboul,
Physics Department, Ben Gurion University,
PO Box 653, BeerSheva 84105,
ISRAEL
 Email: daboul at bgu.ac.il , jdaboul at gmail.com
 Phones: Office (08)6472132, Mobile 052 3095422, Home
+97235747306
 Fax: +972523095422 (wait six rings)
 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,
KacMoody algebras, generalized Dynkin diagrams,
representations of the symmetric group S_N; Group action,
orbits, fixed points, Bell and Stirling numbers.
InonuWigner and generalized contractions,
Octonions,
implicitlydefined Hamiltonians (the mass depends on distance)
and curvature,
nonlinear models, nonlinear stabilized multiphase oscillators.
 Quantum computation: Hybrid gates, entanglement generation
and their measures.
 Dirac and Yang magnetic monopoles, Levi Cevita,
KustaanheimoStiefel and Hurwitz Transformations.
 Singular potentials: bound states, regularization,
selfadjoint extension of unbounded operators.
 Symmetries of differential equations and application to
pseudodiffusion equation.
 Wigner functions, squeezed states, coherent states,
generalized Hermite and heat polynomials.
 Highenergy 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,
baryonbaryon and mesonbaryon 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
highenergy physics.
 In recent years my research has been mainly on mathematical
physics, in particular on dynamical symmetries,
infinitedimensional KacMoody algebras, InonuWigner
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.
 SolidState 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 Premed students in the US).
 Two special courses on modern mathematics ( In Arabic, for
highschool teachers from the Gaza Strip);
A special communityservice 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 KacMoody
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 KacMoody superalgebras, J.
Math. Phys. 51, 05352115 (2010)
 C. Daboul, J. Daboul and Marc de Montigny , Gradings and
contractions of affine KacMoody algebras , J. Math.
Phys. 49, 06350917 (2008)
 J. Daboul, Contraction of
Broken Symmetries via KacMoody Formalism , J. Math.
Phys. 47, 08350713 (2006); arxiv:
mathph/0608008
 J. Daboul and K. B. Wolf , Noncommuting
contractions of oscillators with constant force, J.
Phys. A: Math. Gen. 39, 41734180, 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,
427448, 2005
 Patricio Cordero and J. Daboul , Analysis of the
SGA method for obtaining energy spectra, J. Math.
Phys. 46, 053507 (2005); arXiv:
quantph/0503011
 J. Daboul, Xiaoguang Wang, and Barry C. Sanders ,
Quantum
gates on hybrid qudits,
J. Phys. A: Math. Gen. 36
(10), 25252536, 2003; quantph/0211185
 Jamil Daboul and Pavel Winternitz, Timedependent
realization of the infinitedimensional hydrogen algebra, Physics
Letters A 282 (3), 163168 (2001) SummaryPlus
 Full
Text
+ Links  PDF
(78 K)
 J. Daboul and Mark Hickman ,
New Hamiltonians with closed orbits , Physics
Letters 267, Issue 4, 232239, 2000
 Jamil Daboul and Robert Delbourgo , Matrix
Representation of Octonions and Generalizations, J.
Math. Phys. 40, 41344150 (1999);
hepth/9906065
 Claudia Daboul and Jamil Daboul , From hydrogen
atom to generalized Dynkin diagrams, Physics Letters B, 425,
135144, 1998 FullText + Links  PDF
(155 K)
 J. Daboul and Michael Martin Nieto , Exact, E=0,
classical solutions for general powerlaw potential, Phys.
Rev. E. 52, 4430 (1995), PDF
;
hepth/9408057
 J. Daboul and Michael Martin Nieto , Abstract
Quantum
bound states with zero binding energy, Physics
Letters A, 190, 357362, 1994;
hepth/9405154
 Jamil Daboul, Peter Slodowy and Claudia Daboul , The
hydrogen algebra as a centerless twisted KacMoody algebra,
Physics Letters B, 317, 321328, 1993
(Abstract)
Other Pages
External Links
 EPrint Archive mirror site
at Tel Aviv University
 Journal lists: TelAviv
University, BenGurion
University.
 ISI Web of Knowledge
(Journal Citation Reports)
 Inspec
 Physical Review Letters PRL

ALEPH BGU Database

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