Doctoral Thesis
Quantum theory of charged-particle beam optics


Dr. Sameen Ahmed Khan             ([email protected])     (Visiting Card, Picture, Pictures and the Biographical-Note).




Genesis: Charged-particle beam optics, or the theory of transport of charged-particle beams through electromagnetic systems, is traditionally dealt with using classical mechanics. Though the classical treatment has been very successful, in designing and working of numerous charged-particle optical devices, it is natural to look for a deeper understanding based on the quantum theory, since any system is quantum mechanical at the fundamental level! With this motivation, the programme of the Quantum Theory of Charhged-particle Beam Optics, was started by Jagannathan et al in 1989. Professor E. C. G. Sudarshan suggested the project of Quantum Theory of Charged-Particle Beam Optics. This resulted in the first article. This was the first time that the focusing action of a magnetic lens was worked out ab initio starting with the Dirac equation. The following three papers have the blue print of the programme.

  1. R. Jagannathan, R. Simon, E. C. G. Sudarshan and N. Mukunda,
    Quantum theory of magnetic electron lenses based on the Dirac equation,
    Physics Letters A, 134, 457-464 (1989, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1016/0375-9601(89)90685-3.
    The MR Number in The Mathematical Reviews Database: MR0981965 (90b:81161) 81K05 (81G10 81M05).

  2. R. Jagannathan,
    Quantum theory of electron lenses based on the Dirac equation,
    Physical Review A, 42, 6674-6689 (1990, Journal Cover).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1103/PhysRevA.42.6674.

  3. R. Jagannathan,
    Dirac equation and electron optics,
    In Ranabir Dutt, and Asim K. Ray, (Editors),
    Dirac and Feynman: Pioneers in Quantum Mechanics,
    Wiley Eastern Limited, New Delhi, India, pp. 75-82 (1993).
    (ISBN: 8-12-240493-6, ISBN-10: 8122404936 and ISBN-13: 978-8122404937, Book Cover).
    (ISBN: International Standard Book Number System, Logo).

I had the privilege to be part of this novel programme. The present thesis is an elaboration of this new formalism of the quantum theory of charged-particle beam optics with illustrations of applications to several practically important systems. The thesis also covers the Quantum Theory of Aberrations and Beam Optics of the Dirac Particle with Anomalous Magnetic Moment (Thomas-BMT: Thomas-Bargmann–Michel–Telegdi equation, etc.).

Professor Jagannathan also initiated the programme, Quantum Methodologies in Light Beam Optics, resulting in a Unified Treatment of Light Beam Optics and Light Polarization (initial results available in Research in Light Beam Optics).


At the time of the submission, the thesis had the following seven publications. Several publications followed thereafter (details available in Research in Charged-Particle Beam Optics).

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Technical Writings

  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.




At the time of the submission the thesis had the aforementioned seven publications. Several publications followed thereafter (details available in Research in Charged-Particle Beam Optics).

.
List of 35+ Writeups from the INSPIRE HEP (Logo), Originally SLAC SPIRES (Logo). List of 20+ Writeups from the LANL E-Print archive (see the Atom Feeds).

Some Publications from the American Mathematical Society (AMS, Logo) MathSciNet (Logo). List of 165+ Writeups from the Google Scholar (Logo).

Participation in Conferences/Seminars/Colloquia & Visits to Institutions during the PhD

  1. 07-15 November 1993
    The CERN Accelerator School (Logo): Physics & Engineering for Particle Accelerators,
    Held at:
    Raja Ramanna Centre of Advanced Technology (RRCAT, Logo),
    Indore
    INDIA (National Emblem)
    Accelerator Programmes at CAT.
    School Report:
    CAT Newsletter, Year 6, No. 2, pp. 10 (July-December 1993).
    School Proceedings:
    Vol. II, Editors: S. S. Ramamurthi and L. M. Rangarajan,
    (Raja Ramanna Centre of Advanced Technology (RRCAT), Indore,
    INDIA, National Emblem).

  2. 25-27 November 1993
    3rd National Seminar on Physics and Technology of Particle Accelerators and their Applications PATPAA-93,
    Held at:
    IUC-DAEF Kolkata (Calcutta) Centre,
    Kolkata (Calcutta)
    India (National Emblem),
    Poster: Theory of relativistic electron beam transport based on the Dirac equation.

  3. 17-29 March 1994
    JSPS- KEK International Spring School: High Energy Ion Beams - Novel Beam Techniques and their Applications,
    Held at:
    High Energy Accelerator Research Organization (KEK, Logo), Tsukuba, Ibaraki, Japan (National Emblem).
    Institute of Nuclear Study (INS), .
    Institute of Physical and Chemical Research (RICKEN, Logo)
    (JSPS: Japan Society for the Promotion of Science Logo)
    (KEK: High Energy Accelerator Research Organization, Logo)
    Talk: Quantum mechanics of charged particle beam optics: An operator approach.

  4. 23 January - 10 February 1995
    SERC School on Coherence and Correlations in Modern Optics and Quantum Physics *,
    Held at:
    The Institute of Mathematical Sciences (MATSCIENCE/IMSc, Logo),
    Chennai (Madras)
    India (National Emblem),
    Talk: Charged Particle Optics-A Wigner function approach.
    * Actively involved as the Member of the Local Organizing Committee and Publicity Secretary.
    The School Circular appeared in numerous places including, CERN Courier, Vol. 34, No. 9, pp. 23-24 (November 1994); and AAPPS Bulletin.
    See the Entry in the SLAC SPIRES (Logo).
    For additional information about the SERC School, see Optics.

  5. 11 November 1995
    High-Energy Physics in the 21st Century,
    61st Annual Meeting of Indian Academy of Sciences (Logo),
    Held at:
    Indira Gandhi Centre for Atomic Research (IGCAR, Logo),
    Kalpakkam
    India (National Emblem).

  6. 09 March 1996
    Workshop on Internet for Educational and Research Organizations,
    Held at:
    The Institute of Mathematical Sciences (MATSCIENCE/IMSc, Logo),
    Chennai (Madras)
    India (National Emblem).

  7. 22-23 August 1996
    Young Physicists Colloquium,
    Organized by:
    The Indian Physical Society (IPS, Logo), Kolkata (Calcutta)
    India (National Emblem)
    Talk: Beam optics of the Dirac particle.
    The Abstract Appeared in:
    Physics Teacher, Vol. 88, No. 2 & 3, pp. 67, (April-September 1996).

  8. 10-15 January 1997
    ICDS International Conference on Dynamical Systems,
    Held at:
    Indian Institute of Science (IISc, Logo)
    Bangalore
    India (National Emblem).
    Poster: Transport of Dirac-particle beams through magnetic quadrupoles.

  9. 13-25 January 1997
    First School on Physics of Beams,
    Held at:
    Advanced Beam Physics Laboratory (ABPL)
    Raja Ramanna Centre for Advanced Technology (RRCAT, Logo)
    Indore
    India (National Emblem),
    Talk: Beam optics of the Dirac particle,
    * School Report:
    Srinivas Krishnagopal, International Committee for Future Accelerators (ICFA, Logo) Beam Dynamics Panel Newsletter (Logo), No. 13 pp. 54 (April 1997);
    And in Synchrotron Radiation News.

  10. 03-21 March 1997
    Winter College on Quantum Optics: Novel Radiation Sources,
    Held at:
    Abdus Salam International Centre for Theoretical Physics (ICTP, Logo)
    Trieste
    Italy (National Emblem),
    Talk: Quantum mechanical approach to beam physics.
    List of Participants.

  11. 25-27 March 1997
    Dipartimento di Fisica Galileo Galilei (Logo)
    Università di Padova (Logo)
    Istituto Nazionale di Fisica Nucleare (INFN, Logo)
    Sezione di Padova (Logo)
    Padova
    ITALY (National Emblem).


The first Post-Doc was with Professor Modesto Pusterla in GROUP IV,
Dipartimento di Fisica Galileo Galilei (Logo), Università di Padova (Logo),
Istituto Nazionale di Fisica Nucleare (INFN, Logo), Sezione di Padova (Logo),
Padova, ITALY (National Emblem).
(27 October 1997 to 26 October 1999).

Research in Charged-Particle Beam Optics.

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. Resistor Networks.

  5. Quadratic Surfaces.

  6. Salt Solutions.




The Institute of Mathematical Sciences



The Institute of Mathematical Sciences (IMSc, and also referred by the telegraphic name MATSCIENCE) had curious origins in the Theoretical Physics Seminar that Prof. Alladi Ramakrishnan started at his family house Ekamra Nivas (house with a tree). These seminars covered a wide range of topics in research frontiers and importantly attracted eminent speakers from across the globe. The Nobel Laureate Niels Bohr was so impressed by it that he recommended to the then Prime Minister of India, Pandit Jawaharlal Nehru to create an Institute to sustain the research activities. The Institute of Mathematical Sciences was thus created in 1962 with Alladi Ramakrishnan (Picture) as the director. Subrahmanyan Chandrasekhar, the future Nobel Laureate inaugurated the Institute at the Presidency College. Alladi Ramakrishnan served as its director till his superannuation in 1983, followed by E. C. G. Sudarshan in the 1980s and R. Ramachandran in 1990's. The current Director of the Institute is R. Balasubramanian.

Year-long celebrations were held with several conferences and workshops culminating in the three days celebration during 2-4 January 2013: honouring the past and creating the future.



References:

  1. Website of the The Institute of Mathematical Sciences.

  2. Comprehensive Details at the Website of Krishnaswami Alladi, the son of Alladi Ramakrishnan.

  3. Alladi Ramakrishnan,
    The Alladi diary: Ekamra Nivas to MATSCIENCE,
    (East West Books, Madras, India, 2000).
    ISBN-10: 8186852387 and ISBN-13: 9788186852385, Book Cover).
    (ISBN: International Standard Book Number System, Logo).

  4. Alladi Krishnaswami, John R. Klauder and Calyampudi R. Rao (Editors),
    The Legacy of Alladi Ramakrishnan in the Mathematical Sciences,
    (Springer, Logo, 2010, ISBN-10: 144196262X and ISBN-13: 9781441962621, Book Cover).
    (ISBN: International Standard Book Number System, Logo).

  5. R. Jagannathan,
    The Institute of Mathematical Sciences,
    Resonance Journal of Science Education, Vol. 4, No. 1, 89-92 (January 1999).
    (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. 4, No. 1, pp. 89-92 (January 1999).
    Digital Object Identifier (DOI, Logo): http://dx.doi.org/10.1007/BF02837161

  6. 02-04 January 2013
    The Institute of Mathematical Sciences Golden Jubilee Conference (Logo),
    The Institute of Mathematical Sciences (MATSCIENCE/IMSc, Logo),
    Chennai (Madras)
    India (National Emblem).
    * See the IMSc Annual Report 2012, pp. 67 (PS Format and PDF Format).

  7. Sameen Ahmed Khan,
    Institute of Mathematical Sciences Celebrates Jubilee,
    Muscat Daily (Logo), page 22 (Sunday the 20 January 2013).
    (The Apex Press and Publishing, Logo, Muscat, Sultanate of Oman).
    * See the The Institute of Mathematical Sciences Golden Jubilee Celebrations (Logo),
    The Institute of Mathematical Sciences (MATSCIENCE/IMSc, Logo), Chennai (Madras), INDIA (National Emblem).

  8. Sameen Ahmed Khan,
    Physics in India,
    Letter in Physics World, Volume 26, No. 3, page 20 (March 2013, Journal Cover).
    * The Letter is in response to the Special Report: Physics in India (December 2012).

  9. MVN Murthy and and R Ramanujam,
    The Institute of Mathematical Sciences (IMSc),
    Asia Pacific Mathematics Newsletter, April 2013, Issue No. 2, pp 33-35, (April 2013, Journal Cover).

  10. MVN Murthy and and R Ramanujam,
    Highlights of [email protected] Celebrations,
    Asia Pacific Mathematics Newsletter, April 2013, Issue No. 2, pp 44-46 (April 2013, Journal Cover).

  11. Sameen Ahmed Khan,


60+ Technical Writings

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200+ 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-six Page MS Word Version of the Curriculum Vitae

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

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

Thirty-eight 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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