איטין

לפרטים על תואר ראשון ושני

למידע נוסף על לימודים אקדמיים בלבד השאירו פרטיכם ונחזור בהקדם

ראשי » איטין
פרופ' איטין יעקב,
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סוכוצ'בסקי חדר 313
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Curriculum Vitae
קורות חיים

Academic Education

 

 

1992-1998 Ph.D. in Mathematics, The Hebrew University, Jerusalem, Israel. Dissertation title: “Differential forms and their application to theory of physical fields ” Advisor: Prof. Shmuel Kaniel.

 

1984-1990 M.Sc. in Mathematics, cum laude, Tver State University, Tver, USSR. Dissertation title: “Motion of a classical relativistic string” Advisor: Prof. A.B. Barbashov (JINR-Dubna)

 

1973-1976 B.Sc. in Mining Physics Engineering, Moscow Institute if Mining Engineering, Moscow, USSR

 

Relevant academic Employment  

1993-1999 Hebrew University of Jerusalem --- Lecture assistance

1999-Present Hebrew University of Jerusalem ---- Lecturer

1999-2007 Jerusalem College of Engineering --- Lecturer

2006-2009 Jerusalem College of Technology --- Lecturer

2009-present Jerusalem College of Technology --- Senior Lecturer

 

Awards and Honors for Academic or Professional Achievement

 

2009 Outstanding Research Award from JCT Rector.

 

Research and Development Activities Publications

 

Summary of Past Research and Development Activities

My research activity was related to different subjects of mathematical physics:

1) Together with S. Kaniel (Hebrew U.) I derived a coframe gravity model with an exponential static spherical symmetric exact solution. Also we described a generic family of coframe gravity models.

2) In the coframe (teleparallel) representation of General Relativity, I derived a family of new coframe models with their exact solutions and constructed a generic coframe energy-momentum current.

3) For the Hilbert-Noether variation problem in gauge theories, I showed that the consistent variation procedure requires dynamical geometry, i.e., must include gravity field.

4) I proved that the Carroll-Field-Jackiw modification of electrodynamics is a special case of premetric electrodynamics construction which dispersion relation comes from the derivative (non-geometric) approximation.

5) I studied the axion generated violation of Lorentz invariance and showed that in all axion models the light cone structure is crucially destroyed.

6) In the premetric extension of electromagnetism, I derived the general covariant dispersion relation previously constructed by Hehl, Obukhov and Rubilar and investigated the properties of Tamm-Rubilar pseudo-tensor. Also I derived the covariant expression of the premetric photon propagator (Green tensor) which is new due to my knowledge.

7) For generic anisotropic media with arbitrary magnetic permeability and electric permittivity (which are not required to be symmetric, positive definite and even invertible) I derived a new compact form of the dispersion relation.

8) Together with F. Hehl (Cologne) I derived the invariant meaning of the Cauchy condition in classical elasticity.

9) Together with F.Hehl I studied the covariant meaning of Lentz's rule in electromagnetism and its relation to the spacetime signature and positivity of the electromagnetic field energy.

10) Together with Y. Friedman (JCT) I derived different decompositions of the covariant electromagnetism to the space and time components. These decompositions are proposed as a tool for description of the metamaterials structures.

 

Summary of Current Research and Development Activities

My current research is related to applications of algebraic, differential geometry, and group theory methods to study the general covariant structure of classical electrodynamics.

A most compact and elegant description of the electromagnetic fields in media and in vacuum is attained in the differential forms formalism. This description is explicitly Lorentz and general relativistic invariant. Moreover, it is independent of the geometry of the underline spacetime. The volumetric electric charge and current densities are represented by non-singular differential 3-forms. The charge and current densities with a support on the low dimensional submanifolds (surfaces and strings) naturally require singular differential forms. I am working on a covariant metric-free definitions of the net, surface and string electric densities. This covariant description requires Dirac’s delta-forms instead of delta-functions. Covariant metric-free conservation laws for the surface and string densities are derived. Based on the definition of the surface electric current, I derive the metric-free covariant boundary conditions in electromagnetism which is new due to my knowledge.

The applications of these covariant metric-free boundary conditions are in work now.

Future Directions for Research and Development.

I plan to continue the investigation of the different covariant structures of modern electromagnetic media: premetric electrodynamics. axion electrodynamics, Lorentz violation

 

Publications  

Peer-Reviewed Papers in Refereed Journals (not conference proceedings)

Before latest appointment:

1. S. Kaniel and Y. Itin, “Gravity on parallelizable manifold.”, Nuovo Cim., 113B, 393---399 (1998)

2. Y. Itin, “Gravity on a parallelizable manifold: Exact solutions”, Gen. Rel. Grav. 31, 187---202 (1999)

3. Y. Itin, “Quasi-linear equations in coframe gravity" , Gen. Rel. Grav. 31, 1891---1900 (1999)

4. Y. Itin and S. Kaniel, “On a class of invariant coframe operators with application to gravity.” J. Math. Phys. 41, 6318---6340 (2000)

5. Y. Itin, “Coframe teleparallel models of gravity. Exact solutions”, Int. J. Mod. Phys. D 10, 547---573 (2001)

6. Y. Itin, “Energy-momentum current for coframe gravity.” , Class. Quant. Grav. 19, 173---190 (2002)

7. Y. Itin,”Coframe energy-momentum current. Algebraic properties.” Gen. Rel. Grav. 34, 1819---1837 (2002)

8. F.W. Hehl and Y. Itin, “The Cauchy relations in linear elasticity theory.”, J. of Elasticity 66,

185---194, (2002)

9. Y. Itin, “Noether currents and charges for Maxwell-like Lagrangians.”, J.Phys. A 36, 8867---8882 (2003)

10. Y. Itin and F.W. Hehl, “Maxwell's field coupled nonminimally to quadratic

torsion: axion and birefringence.”, Phys.Rev.D68: 127701---127705 (2003)

11. Y. Itin and F.W. Hehl, “Is the Lorentz signature of the metric of space-time

electromagnetic in origin?”, Annals Phys. (NY) 312: 60-83 (2004)

12. Y. Itin, “Caroll-Field-Jackiw electrodynamics in the premetric framework.”,

Phys.Rev.D70:025012---025017 (2004)

13. Y. Itin, “Weak field reduction in teleparallel coframe gravity: Vacuum case.”,

J.Math.Phys.46: 012501---012518 (2005)

14. Y. Itin, “No-birefringence conditions for spacetime.”,Phys.Rev.D72: 087502---087505 (2005)

15. Y. Itin, “Maxwell-type behaviour from a geometrical structure.”, Class.Quant.Grav.23: 3361---3384 (2006)

16. S. Kaniel and Y. Itin, “Equations of motion for a (non-linear) scalar field model as

derived from the field equations.”, Annalen Phys. (Leipzig) 15: 877-893 (2006)

Since latest appointment

17. Y. Itin, “A Generalized photon propagator.”, J.Phys.A40: F737-F744 (2007)

18. Y. Itin, “Photon propagator for axion electrodynamics.”, Phys.Rev.D76: 087505---087509 (2007)

19. Y. Itin, “Wave propagation in axion electrodynamics.”, Gen. Rel. Grav. 40 :1219-1238 (2008), 20 pages

20. Y. Itin, Y. Friedman, ” Backwards on Minkowski's road. From 4D to 3D Maxwellian electromagnetism" Annalen Phys. (Berlin) 17, 769- 786 (2008)

21. Y. Itin "On light propagation in premetric electrodynamics. Covariant dispersion relation". J.Phys.A42:475402 (2009).

22. Y. Itin "Dispersion relation for anisotropic media" Phys. Let. A374 : 1113-1116 (2009)

23. Y. Itin, Y. Obukhov, and F.W. Hehl " An electric charge has no screw sense"

Annalen Phys. 19: 35-44 (2009)

 

Peer-Reviewed Papers in Refereed Conference Proceedings (not abstracts)

Presentations at Conferences with Published Proceedings.

1. June 1997, 8th Marcel Grossmann Meeting on General Relativity, Gravitation and Relativistic Field Theories (MG 8) Jerusalem, Israel

Talk: “Gravity on parallelizable manifold” , 15 min.

2. July 2000, 9th Marcel Grossmann Meeting on General Relativity, Gravitation and Relativistic Field Theories (MG 9), Rome, Italy

Invited talk: “The Generalized teleparallel structure”, 20 min

Talk: “On the derivation of the equation of motion in a scalar model”, 15 min

3. July 2001, 16th International Conference on General Relativity & Gravitation

Durban, South Africa

Talk: “Coframe teleparallel models of gravity: Exact solutions”, 15 min

4. September 2001, “Journes Relativistes”, University College, Dublin, Ireland

Invited talk: “Conserved currents for general teleparallel models”, 20 min

Talk: “On the derivation of the equation of motion”, 15 min

5. Marth 2003 Deutsche Physikalische Gesellschaft e. V. (DPG) Hannover, Germany

6. Sep. - Oct. 2003, Workshop on Gravity in Two Dimensions, Erwin Schr¨odinger Institute, Vienna

Talk: “Einstein and Cartan in chains: The two dimensional case”, 60 min

7. July 2006, 11th Marcel Grossmann Meeting on General Relativity, Gravitation

and Relativistic Field Theories (MG 11), Berlin, Germany

Talk:” Maxwell-type behavior from a geometrical structure”, 20 min

8. July 2009, 12th Marcel Grossmann Meeting on General Relativity, Gravitation

and Relativistic Field Theories (MG 12), Paris, France

Noether procedure and dynamical geometry”, 15 min

Invited Talk:” Wave propagation in axion electrodynamics”, 30 min

Talk:” Energy-momentum current for coframe gravity”, 15 min

9. ACE'10 - 6th Workshop on Advanced Computational Electromagnetics, Juli 5-7, 2010, Zurich, Switzerland

Talk: "Covariant boundary conditions in electromagnetism " , 30 min

 

Patents                                                                                                                                                      

Include: title, patent information, patent holders.

 

Books, Book Sections                                                                                                                              

1. “Classical and Quantum Gravity Research Progress”,

Chapter: Y. Itin, Coframe geometry and gravity”, 50 pages

Editors: Mikkel N. Christiansen and Tobias K. Rasmussen ,

Nova Science Publishers, Inc., Pub. Date: 2008, 2nd Quarter

7. Funded Projects , Grants or Contracts [in chronological, numbered order]

Separate lists into: "Before latest appointment" and "Since latest appointment".

8. Other Relevant Academic and Professional Activities

Before latest appointment

Referee for the journals: Classical and Quantum Gravity, Journal of Mathematical Physics, International Journal of Modern Physics, General Relativity and Gravity, Annalen der Physik Journal.

Invited seminar or colloquia:

1. 1998, University of Cologne, Köln, Germany, General Relativity Seminar,

Talk: “Gravity on parallelizable manifold”, 45 min

2. 2003, Hebrew University of Jerusalem, Partial Differential Equations Seminar

Talk: “Noether currents and charges for Maxwell - like Lagrangians”, 45 min

3. 2004, Massachusetts Institute of Technology, Nuclear and Particle Theory Seminar

4. 2006, Hebrew University of Jerusalem, Mathematical Colloquium,

Talk: “Maxwell-type behaviour from a geometrical structure”, 45 min

 

Master's degree student supervision                                                                                                               

Hebrew Un., Math. Dept., 2005, Ofir Nave, title: "Irreducible decompositions of tensors".

 

Courses taught and course materials developed:

Math. Dept. Hebrew University,

Mathematical Foundations of Relativity (taught and developed),

Numerical Analysis -2 (taught and developed),

Linear Algebra for Physicists (taught and developed),,

Calculus for Scientists (taught and developed),

Calculus and Advanced Calculus for Economists (taught and developed).

Jerusalem College of Engineering

Calculus 1,2 (taught and developed),

Mathematical Methods of Engineering 1(taught and developed),

Mathematical Methods of Engineering 2 (taught and developed),

Linear Algebra (taught and developed).

Jerusalem College of Technology

Calculus 1,2 (taught and partially developed),

Ordinary differential equations (taught),

Linear algebra 1, 2(taught)

Probability theory (taught)

Since latest appointment

Referee for the journals: Classical and Quantum Gravity, Journal of Mathematical Physics, Phys. Letters Journal, Phys. Scripta, Journal of Physics, PIER & JEMWA

Math. Dept. Hebrew University,

Mathematical Methods of Classical Mechanics (taught and developed),

Calculus for Scientists (taught and developed),

Mathematical methods of Physics-2 (taught)

Jerusalem College of Technology

Calculus 1,2 (taught and partially developed),

Ordinary differential equations (taught),

Linear algebra 1, 2(taught)

Complex analysis (taught and partially developed),

Numerical analysis (taught and developed)

9. Public Service [in chronological order]