Dr. Sameen Ahmed Khan             ([email protected])       (Visiting Card, Picture, Pictures and the Biographical-Note)
Assistant Professor,
Department of Mathematics and Sciences
College of Arts and Applied Sciences (CAAS)
Dhofar University (Logo)
Post Box No. 2509, Postal Code 211
Salalah
Dhofar
Sultanate of Oman (National Emblem).

List of 45+ Articles from the Scopus
http://SameenAhmedKhan.webs.com/
http://www.imsc.res.in/~jagan/khan-cv.html
http://sites.google.com/site/rohelakhan/
http://rohelakhan.webs.com/
http://www.du.edu.om/



Research Summary
Charged-Particle Beam Optics

The quantum theory of charged-particle beam dynamics is being developed essentially using an algebraic approach. On the basis of this theory, optics of the transport of nonrelativistic and relativistic charged-particle beams through electromagnetic systems (of importance for charged-particle beam devices, like electron microscopy, microelectron-beam lithography, etc., and accelerator design) is being analyzed systematically. The machinery of Lie algebraic methods is used primarily and this facilitates an easy passage from the quantum theory to the traditional classical theory (geometrical optics). Our results include the modifications of the paraxial properties and the aberration coefficients, with hbar-dependent contributions, for the various optical elements, like the magnetic round lenses, quadrupoles, etc., using the Schrödinger (nonrelativistic), Klein-Gordon and Dirac equations. For charged spin-half particles, the Dirac equation leads to spinor contributions to the beam dynamics. We do hope that these quantum corrections, albeit small, would be of some practical significance in certain situations; it should, however, be emphasized that, in any case, it is certainly satisfying to understand the working of the traditional classical theory as an approximation of a proper quantum theory since after all any physical system is quantum mechanical at the fundamental level.

The application of the Wigner phase-space distribution for studying the quantum mechanics of charged-particle beam transport through electromagnetic optical systems provides a natural link between the classical and the quantum descriptions. In this context, the relation between the transformation of the Wigner function of a charged-particle optical system, corresponding to the associated scalar wave function, and the transformation of the classical phase-space of the system has been studied.

The application of the spinor beam optical formalism has been shown to lead to a fully quantum mechanical understanding of the dynamics of a spin-half particle with anomalous magnetic moment, including the spin evolution, at the level of single-particle dynamics. The general theory, developed for any magnetic optical element with straight axis, describes the the quantum mechanics of the orbital dynamics, the Stern-Gerlach kicks and the Thomas-Bargmann-Michel-Telegdi (Thomas-BMT) spin evolution.

The corrections to the traditional descriptions rigorously derived in the above articles have a significant bearing on the celebrated Scherzer Theorem in the wavelength-dependent regime in electron microscopy and the algebraically equivalent system of fiber optics. An application for a patent shall be made in the near future!





Technical Writings



A. Books

  1. Sameen Ahmed Khan,
    International Year of Light and Light-based Technologies (IYL, Logo),
    LAP LAMBERT Academic Publishing, Logo, Germany, 96 pages (Thursday the 30 July 2015).
    (ISBN-10: 3659764825 and ISBN-13: 9783659764820, Book Cover),
    (ISBN: International Standard Book Number System, Logo).
    Link to the Publisher.


B. Articles


  1. S. A. Khan and R. Jagannathan,
    Theory of relativistic electron beam transport based on the Dirac equation,
    Preprint:IMSc/93/53
    Presented at
    The 3rd National Seminar on Physics and Technology of Particle Accelerators and their Applications, PATPAA-93,
    IUC-DAEF Kolkata (Calcutta) Centre, India, 25-27 November 1993
    Editor: S. N. Chintalapudi, IUC-DAEF Kolkata (Calcutta), 102-107.
    http://cds.cern.ch/record/263573.

  2. S. A. Khan and R. Jagannathan,
    Quantum mechanics of charged particle beam optics: An operator approach,
    Preprint:IMSc/94/11
    Presented at the JSPS - KEK
    International Spring School on High Energy Ion Beams-Novel Beam Techniques and their Applications, Japan, 17-29 March 1994.
    (JSPS: Japan Society for the Promotion of Science Logo).
    (KEK: High Energy Accelerator Research Organization, Logo).
    http://cds.cern.ch/record/263576.

  3. S. A. Khan and R. Jagannathan,
    Quantum mechanics of charged particle beam transport through magnetic lenses,
    Preprint:IMSc/94/41,
    Physical Review E 51, Issue 3, 2510 - 2515 (March 1995, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1103/PhysRevE.51.2510

  4. R. Jagannathan and S. A. Khan,
    Quantum theory of the optics of charged particles,
    Preprint:IMSc/95/31
    Chapter 4 in
    Invited article for:
    Advances in Imaging and Electron Physics,
    Editors: Peter W. Hawkes, B. Kazan and T. Mulvey,
    (Academic Press, Logo, San Diego, 1996), Vol. 97, 257-358 (1996).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/S1076-5670(08)70096-X
    (ISBN: 0-12-014739-4, ISBN-10: 0120147394 and ISBN-13: 978-0120147397, Book Cover).
    (ISBN: International Standard Book Number System, Logo).
    Also available from: ScienceDirect (Logo).
    * See the Preface.

  5. R. Jagannathan and S. A. Khan,
    Wigner functions in charged particle optics,
    Preprint:IMSc/94/53
    In: Selected Topics in Mathematical Physics-Professor R. Vasudevan Memorial Volume,
    Editors: R. Sridhar, K. Srinivasa Rao (Picture) and V. Lakshminarayanan (Picture),
    (Allied Publishers, Logo, Delhi, India, 1995), 308-321.
    (ISBN-10: 8170234883 and ISBN-13: 978-8170234883, Book Cover).
    (ISBN: International Standard Book Number System, Logo).
    * See the Obituary, Ramabhadra Vasudevan (1929-1993), by K. Srinivasa Rao and R. Sridhar, in
    Obituary Notices, Physics Today, Vol. 47, No.11, pp. 106 (November 1994, Journal Cover).
    Digital Object Identifier (DOI, Logo): DOI:10.1063/1.2808716.

  6. M. Conte, R. Jagannathan, S. A. Khan and M. Pusterla,
    Beam optics of the Dirac particle with anomalous magnetic moment,
    Preprint:IMSc/96/07, INFN/AE-96/08
    Particle Accelerators 56 (2), 99-126 (1996).
    http://cds.cern.ch/record/307931/files/p99.pdf.

  7. S. A. Khan,
    Transport of Dirac-particle beams through magnetic quadrupoles,
    Preprint:IMSc/96/33.

  8. Sameen Ahmed Khan,
    Quantum theory of charged-particle beam optics (Thesis Cover),
    PhD Thesis, The Institute of Mathematical Sciences (MATSCIENCE/IMSc, Logo, January 1997).     (Details with the Complete Thesis).
    * Thesis Supervisor: Professor Ramaswamy JAGANNATHAN (Picture)
    * Description of Ph.D Research: Development of quantum mechanical treatment for the study of transport of charged-particle beams through electromagnetic systems.
    * Complete Thesis Available from: IMSc Library Digital Repository (Logo)
    S. A. Khan,
    Quantum theory of charged-particle beam optics (Thesis Cover),
    Theses in Physics, Complete Thesis: 181 pages (1997).
    * Click here for the Long Thesis-Abstract (DVI Version, PS Format or/and PDF Format).
    * Click here for the Short Thesis Abstract which appeared in the
    International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo), No. 15, pp. 44-45 (December 1997).
    * See the IMSc Annual Report 1997, pp. 83 for the Thesis Submission
    and IMSc Annual Report 1998, pp. 80 for the Award of PhD Degree.

  9. R. Jagannathan and S. A. Khan,
    Quantum mechanics of accelerator optics,
    International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo), No. 13, pp. 21-27 (April 1997).
    Editors: Kohji Hirata, John M Jowett and Shyh-Yuan Lee.

  10. S. A. Khan,
    Quantum theory of magnetic quadrupole lenses for spin-1/2 particles,
    In: Proceedings of the 15th Advanced International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Workshop on
    Quantum Aspects of Beam Physics (QABP) (Logo) (04-09 January 1998, Monterey, California, USA)
    Editor: Pisin Chen (World Scientific, Logo, Singapore, 1999), pp. 682-694.
    (ISBN-10: 9810235518 and ISBN-13: 978-9810235512, Book Cover).
    Table of Contents
    (ISBN: International Standard Book Number System, Logo).
    LANL E-Print archive http://arXiv.org/abs/physics/9809032/.

  11. Sameen A. Khan,
    Quantum aspects of accelerator optics,
    In: Proceedings of the 1999 Particle Accelerator Conference (PAC99, Logo)
    (29 March - 02 April 1999, New York City, NY, USA)
    Editors: A. Luccio and W. MacKay, Vol. 4, pp. 2817-2819 (IEEE Catalog Number: 99-CH36366).
    PAC99 Archive THA98.pdf
    Proceedings at the IEEE Website: Abstract in Vol. 4.
    (ISBN-10: 0780355733 and ISBN-13: 978-0780355736, Book Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1109/PAC.1999.792948
    LANL E-Print archive http://arXiv.org/abs/physics/9904063/.
    (ISBN: International Standard Book Number System, Logo).
    (IEEE: Institute of Electrical and Electronics Engineers, Logo).
    * Link to JACoW (Logo): Joint Accelerator Conference Website for the Particle Accelerator Conferences.

  12. Sameen A. Khan and Modesto Pusterla,
    Quantum mechanical aspects of the halo puzzle,
    In: Proceedings of the 1999 Particle Accelerator Conference (PAC99, Logo)
    (29 March - 02 April 1999, New York City, NY)
    Editors: A. Luccio and W. MacKay, Vol. 5, pp. 3280-3281 (IEEE Catalog Number: 99-CH36366).
    PAC99 Archive THP136.pdf
    Proceedings at the IEEE Website: Abstract in Vol. 5.
    (ISBN-10: 0780355733 and ISBN-13: 978-0780355736, Book Cover).
    (IEEE: Institute of Electrical and Electronics Engineers, Logo).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1109/PAC.1999.792276
    LANL E-Print archive http://arXiv.org/abs/physics/9904064/.
    (ISBN: International Standard Book Number System, Logo).

  13. Sameen A. Khan and Modesto Pusterla,
    Quantum-like approaches to the beam halo problem,
    in: Proceedings of the 6th International Conference on Squeezed States and Uncertainty Relations (ICSSUR'99, Logo),
    (24-29 May 1999, Napoli, Italy)
    Editors: D Han, Y S Kim, and S Solimeno, (NASA Conference Publication No. 2000-209899)
    pp. 438-441 (July 2000).
    Book Cover,
    Complete Proceedings from the NASA Technical Report Server (Logo)
    (NASA: National Aeronautics and Space Administration, Logo).
    LANL E-Print archive http://arXiv.org/abs/physics/9905034/.

  14. Sameen Ahmed Khan and Modesto Pusterla,
    On the form of Lorentz-Stern-Gerlach force,
    10 pages, LANL E-Print archive http://arXiv.org/abs/physics/9910034/
    (communicated).

  15. S. A. Khan and M. Pusterla,
    Quantum-like approach to the transversal and longitudinal beam dynamics. The halo problem,
    The European Physical Journal A, Vol. 7, No. 4, p p 583-587 (2000, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1007/s100500050430
    LANL E-Print archive http://arXiv.org/abs/physics/9910026/.
    * Also available from EDP Sciences (Logo)
    The European Physical Journal A, Vol. 7, No. 4, p p 583- 587 (2000).

  16. Sameen Ahmed Khan and Modesto Pusterla,
    Quantum approach to the halo formation in high current beams,
    Nuclear Instruments and Methods in Physics Research (NIMS) A, Vol. 464, Issue 1-3, pp. 461-464 (21 May 2001, Journal Cover).
    (Refereed Proceedings of the 13th International Symposium on Heavy Ion Inertial Fusion (HIF2000)
    (13-17 March 2000, San Diego, USA).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/S0168-9002(01)00108-5
    LANL E-Print archive http://arXiv.org/abs/physics/0112082/.

  17. Sameen Ahmed Khan,
    Quantum mechanical formalism of particle beam optics,
    in: Proceedings of the 18th Advanced International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Workshop on
    Quantum Aspects of Beam Physics (QABP) (15-20 October 2000, Capri, ITALY)
    Editor: Pisin Chen (World Scientific, Logo, Singapore, May 2002), pp. 517-526.
    (ISBN-10: 9810249500 and ISBN-13: 9789810249502, Book Cover).
    (ISBN: International Standard Book Number System, Logo).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1142/9789812777447_0042
    LANL E-Print archive http://arXiv.org/abs/physics/0112085/.

  18. Sameen Ahmed Khan,
    The World of Synchrotrons,
    Resonance Journal of Science Education, Vol. 6, No. 11 77-84 (November 2001, Journal Front Cover and Journal Back Cover).
    (A Monthly Publication of IAS the Indian Academy of Sciences, Logo, Copublished with Springer, Logo).
    Also available from SpringerLink:
    Resonance Journal of Science Education, Vol. 6, No. 11 p p. 77-86 (November 2001, Journal Front Cover and Journal Back Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1007/BF02868247
    Larger Version: 11 pages, LANL E-Print archive http://arXiv.org/abs/physics/0112086/.
    * Cited in the Accelerators Section and the Synchrotrons Section of THE NET ADVANCE OF PHYSICS.
    (Review Articles and Tutorials in an Encyclopaedic Format).

  19. Sameen Ahmed Khan,
    Introduction to Synchrotron Radiation,
    Bulletin of the IAPT, 19(5), 149-153 (May 2002).
    (IAPT: Indian Association of Physics Teachers, Logo).

  20. Sameen Ahmed Khan,
    Electron Beams for Radiation,
    Kiran, 13(3), 40-42 (July 2002).
    (Kiran: the Bulletin of the Indian Laser Association, Logo).

  21. Sameen Ahmed Khan,
    Analogies between light optics and charged-particle optics,
    International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo),
    No. 27, pp. 42-48 (June 2002).
    Editors: W. Chou, John M Jowett, C. Biscari, S. Chattopadhyay, S. Ivanov, H. Mais, J. Wei, and C. Zhang.
    LANL E-Print archive http://arXiv.org/abs/physics/0210028/.
    * Cited in the Optics Section of THE NET ADVANCE OF PHYSICS.
    (Review Articles and Tutorials in an Encyclopaedic Format).

  22. Sameen Ahmed Khan,
    Synchrotron Radiation (in Asia),
    ATIP Report, No. ATIP02.034, 28 pages (21 August 2002).
    (ATIP: The Asian Technology Information Program, Logo, Tokyo, Japan, 2002).

  23. Azher Majid Siddiqui and Sameen Ahmed Khan,
    Ion Beam Channeling and Accelerator Programmes in India,
    MRSI Newsletter, Vol. B 02, Number 4, pp. 3-5 (October 2002).
    (MRSI: Materials Research Society of India, Logo).

  24. Sameen Ahmed Khan,
    The Foldy-Wouthuysen Transformation Technique in Optics,
    Optik - International Journal for Light and Electron Optics, Volume 117, Issue 10, pp. 481-488 (October 2006, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2005.11.010
    (Elsevier, Logo, 2006).
    (Available online since Friday the 17 February 2006).

  25. Sameen Ahmed Khan,
    The Foldy-Wouthuysen Transformation Technique in Optics,
    Chapter 2 in
    Invited article for:
    Advances in Imaging and Electron Physics,
    Editor: Peter W. Hawkes,
    Vol. 152, 49-78 (Elsevier, Logo, August 2008).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/S1076-5670(08)00602-2
    (ISBN: 0-12-374219-6, ISBN-10: 0123742196 and ISBN-13: 978-0-12-374219-3, Book Cover).
    Table of Contents.
    (ISBN: International Standard Book Number System, Logo).
    Also available from: ScienceDirect (Logo).
    * See the Preface

  26. Sameen Ahmed Khan,
    Quantum Aspects of Charged-Particle Beam Optics,
    in: Proceedings of the Fifth Saudi International Meeting on Frontiers of Physics 2016 (SIMFP 2016),
    (16-18 February 2016, Department of Physics, Jazan University, Gizan, Saudi Arabia).
    Editors: Ali Al-Kamli, Nurdogan Can, Galib Omar Souadi, Mohamed Fadhali, Abdelrahman Mahdy and Mahmoud Mahgoub,
    AIP Conference Proceedings, 1742, 030008-1–030008-4 (10 June 2016, Book Cover).
    (American Institute of Physics, Logo); Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1063/1.4953129.

  27. Sameen Ahmed Khan,
    Quantum Methods in Light-Beam Optics,
    Optics & Photonics News (OPN, Logo), Vol. 27, No. 12, pp. 47 (December 2016, Journal Cover).
    (A publication of the OSA: Optical Society of America, Logo).
    * One of the thirty papers selected under the theme, Optics in 2016, highlighting the most exciting peer-reviewed optics research to have emerged over the past 12 months.
    * This work was strongly influenced by the Quantum theory of charged-particle beam optics. (See the Doctoral Thesis on this topic) resulting in a Unified Treatment of Light Beam Optics and Light Polarization (initial results available in Research in Light Beam Optics).

  28. Sameen Ahmed Khan,
    Hamilton's Optical-Mechanical Analogy in the Wavelength-dependent Regime,
    Optik - International Journal for Light and Electron Optics, Volume 130 C, pp. 714-722 (February 2017, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.10.112.
    (Elsevier, Logo, 2017).
    (Available online since Wednesday the 02 November 2016).

  29. Sameen Ahmed Khan,
    Linearization of Wave Equations,
    Optik - International Journal for Light and Electron Optics, Volume 131, pp. 350-363 (February 2017, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/j.ijleo.2016.11.073.
    (Elsevier, Logo, 2017).
    (Available online since Wednesday the 16 November 2016).



C. Articles in Preparation


List of 37+ Writeups from the INSPIRE HEP (Logo), Originally SLAC SPIRES (Logo). List of 21+ Writeups from the LANL E-Print archive (see the Atom Feeds).

Some Publications from the American Mathematical Society (AMS, Logo) MathSciNet (Logo). List of 260+ Writeups from the Google Scholar (Logo).

Research in Light Beam Optics.

Some Research Encounters:

  1. Number Theory.

  2. Crystallographic Studies of the 123-Superconductors (YBa2Cu3O7-x the Yttrium Barium Copper Oxide).

  3. SOC: Self-Organized Criticality (SandPiles).

  4. Integer Sequences in Resistor Networks.

  5. Quadratic Surfaces.

  6. Salt Solutions.


60+ Technical Writings

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MS WORD Version

215+ Non-Technical Writings (Popular Writings)

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In March 2005, I was appointed as the Regular Correspondent for the International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletters (Logo), for the region of Middle East & Africa. ICFA, the International Committee for Future Accelerators (Logo), provides a forum to discuss and implement plans for further promoting collaborative accelerator-based science. Its primary purpose is to strengthen collaboration in accelerator-based science, to encourage future projects, and to make recommendations to governments. See the International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo), No. 36 (April 2005).
http://icfa-usa.jlab.org/archive/newsletter.shtml

Patents

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Integer Sequences

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MS EXCEL Version of the Integer Sequences

List of the 35 Integer Sequences from the http://oeis.org/ (Logo)

http://oeis.org/wiki/User:Sameen_Ahmed_Khan.


Curriculum Vitae

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Fifty-nine Page MS Word Version of the Curriculum Vitae

Three Page Resume in MS WORD (view the PS and the PDF)

Eleven Page Resume in MS WORD (view the PS and the PDF)

Forty-one Page CV in MS WORD (view the PS and the PDF)

Versión en Español Octubre 2001 DVI Version, PS Version, O/Y PDF Version


MECIT Report (for the stay at the Middle East College of Information Technology, Logo)

SCOT Report (for the stay at the Salalah College of Technology, Logo)

The Oman Report: The Consolidated Report of my stay in the Sultanate of Oman (National Emblem); at the Middle East College of Information Technology (MECIT, Logo), Muscat and the Salalah College of Technology (SCOT, Logo), Salalah.
My Erdös Number and Einstein Number
My Academic Genealogy
Mathematics Genealogy Project (Logo, Entry No. 93310)

VIDWAN: EXPERT DATABASE
Online Profiles of Academic Community of Indian Universities
(Logo)
Persistent URL: https://vidwan.inflibnet.ac.in/profile/41991
View the Photographs, http://www.flickr.com/photos/rohelakhan/ at http://www.flickr.com/

For Copies of Preprints and Additional Information: [email protected]
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