Welcome to Dr. T.S. Santhanam's Homepage

Thalanayar S. Santhanam
Professor
Department of Physics
College of Arts and Sciences
Saint Louis University
St. Louis, MO 63103, USA.

(314) 977-8423
(314) 977-1890 (fax)

Email: santhats@slu.edu

EDUCATION:

B.SC., Kumbakonam Government College, Madras University, India. (57-60). Distinction in Physics and Mathematics, Proficiency in Physics (60). Moopanar-Beauchamp Prize-Winner, First Rank in the College.
M.Sc., Madras Christian College, Madras University (60-62), India. First Rank in the whole University (among five colleges affiliated to the University). Dr.K.S.Krishnan Gold-Medallist. P.E.Subramania Iyer Commemoration Medal and Jagirdar of Arni Prince of Wales Commemoration Medal.
Research Degree in Theoretical Physics(1966). International School of Advanced Studies & International Centre For Theoretical Physics, I.C.T.P, Trieste, Italy. Advisor: Professor Abdus Salam, Nobel Laureate.
Doctor of Philosophy. Madras University (70), India. Advisor: Professor Alladi Ramakrishnan

MEMBERSHIPS:

Associate Member, International Centre For Theoretical Physics, Trieste, Italy,1991.
Senior Honorary Associate, .I.C.T.P, Trieste Italy, 1984-88.
Life Member and Fellow of Tamilnadu Academy of Sciences, Madras, India,1987.
Full Member [President-Elect 98] [President 99], Sigma-Xi Scientific Society,1991.
Parks College Rank & Tenure Committee [Chairman 98-99], 1994.

POSITION:

Professor, MATSCIENCE, The Institute of Mathematical Sciences, Madras, India, 1977-91.
Professor, Saint Louis University, 1991- Present.

REFEREE:

Journal of Mathematical Physics, Calcutta Mathematical Society, Journal of Physics (Delhi), Physics Essays (Canada).

Doctoral Students

Assisted with the Ph.D.Candidates: D.Radhakrishnan (Delhi),1968.
P.S.Chandrasekharan (Madras),1972.
Nalini.B.Menon (Madras),1973.
A.R.Tekumalla(Madras),1974.
Supervisor for the Ph.D Students: M.V.Satyanarayana (Madras),1986.
S.Madivananne (Madras),1988.

VISITING ASSIGNMENTS:

Long Terms:

Fellow, I.C.T.P, Trieste, Italy, 1965-66.
Visiting Scientist, Physikalisches Institut, Bonn, Germany, 1970.
Visiting Scientist, Physikalisches Institut, Wurzburg, Germany, 1974-77.
Senior Research Fellow, Australian National University, Canberra, Australia, 1978-80.
Visiting Professor, Southern Illinois University, Carbondale, 1981, 82-83, 88.

Short Visits:

Visiting Scientist, I.C.T.P Trieste, Italy,69,74,75,82,83,84,86.
Associate Member, I.C.T.P Trieste, Italy,1971.
Guest Professor, Bonn, Germany, 73, 83, 87.
Visiting Scientist, University of Texas, Austin, TX USA 72, 89..
Visitor, University of Geneva, Switzerland,1976.
Visiting Scientist, Australian National University, Australia,1988.

Very Short Visits:

Guest Professor, NORDITA, Denmark, 1973.
Visitor, Stanford Linear Accelerator Center, Stanford, USA 1981.
Visitor, University of Alberta, Canada, 1981, 1982.
Visiting Professor, McGill University, Canada,1982.
Visitor, C.E.R.N Geneva, Switzerland,66, 73, 87.
Visitor, University of Paris, France, 1982.
Visitor, Arnold Sommerfeld TeChnical University, Clausthal, Zellerfeld, Germany,1987.
Visitor, University of Adelaide, Australia, 79, 88.

Countries Visited & Lectured

Australia: Adelaide, Brisbane, Hobart, La Trobe, Melbourne, New Castle, Wollangang
Austria: Vienna
Belgium: Brussels, Liege
Britain: Aberystwyth, Cambridge, Canterbury, Liverpool, London, York, South Hampton
Bulgaria: Schumen
Canada: Edmonton, Montreal
Denmark: Copenhagen
France: Paris
Finland: Helsinki
Germany: Aachen, Bonn, Clausthal, DESY (Hamburg), Giessen, Frankfurt, Freiburg, Kaiserslautern, Mainz, Tubingen, Wurzburg
Iran: Tehran
Ireland: Dublin
Italy: Bologna, Milano, Napoli, Padua, Parma, Pisa, Roma, Torino, Trieste
Japan: Kyoto, Tokyo
South Korea: Seoul
Lebanon: Beirut
New Zealand: Auckland, ChristChurch, Hamilton
The Netherlands: Amsterdam, Nijmegan
Sweden: Goteborg, Stockholm
Switzerland: Bern, Geneva
US: Austin, U.C.L.A, Berkeley, Carbondale, City Univ New York, Rochester, St. Louis, Urbana, Optical Soc.of America.

AWARDS:

The review article "SU(6) and its relativistic generalizations", written in collaboration with W.Ruhl and H.Ruegg received an award from Helvetica. Physica (Switzerland), 1968.

The review article on "Bhabha equations" received an award from Fortschrift der Physik, Germany, 1974.

Participation in Conferences:

Renormalization Theory, Trieste, Italy,1969.
High Energy Physics, Heidelberg, Germany, 1970.
Differential Geometric methods, Bonn, Germany, 1975, 77.
Europhysics Conference, Aachen, Germany, 1977.
Group Theoretical Methods, Tubingen, Germany,1977.
Nuclear Physics, Canberra, Australia, 1978.
Frontiers in Physics, Singapore, 1978.
Einstein Centennial Symposium, Carbondale, U.S., 1979.
High Energy Physics, Katoomba, Australia, 1979.
Group Theoretical Methods, Kent, Canterbury, England, 1981.
Group Theoretical Method, Trieste, Italy, 1983.
Differential Geometric Methods, Clausthal, Germany, 1983.
Differential Geometric Methods, Schumen, Bulgaria, 1984.
Yukawa Conference, Kyoto, Japan, 1985.
Group Theoretical Methods, Seoul, Korea, 1985.
High Energy Physics, Kashmir, India, 1987.
Superstrings, Kanpur, India, 1987.
Foundations of Quantum Mechanics, New Delhi, India, 1988.
Kac-Moody Algebras, Raleigh, N.C.,1988.
E.C.G. Sudarshan Conference, Austin, Texas, 1991.
Harmonic Oscillators, Mexico, 1994.
International Conference on Special Functions, Madras, India, 1997.

PUBLICATIONS OF PROFESSOR T.S.SANTHANAM

A. PARTICLE PHYSICS:

Some remarks on Symmetries shared by strong and weak Interactions, Nuclear. Physics, 45, 255(1963).
Pion Resonances, Symposia on Theoretical Physics, Plenum Press, New York, VolI, 1963, Ed.Alladi Ramakrishnan.
Symmetries of Strong and Weak Interactions, Proceedings of Kodaikanal Summer School,1963.
Origin of Unitary Symmetry in Strong Interactions, Physical Review. 236B, 1092(1964).
P-wave non-leptonic decays and representation mixing in SU(6), Physics Letters21,234(1966).
SU(6) and its Relativistic Generalizations, Helv.Phys.Acta. 40, 9(1967).
Stueckelberg Fields and Current Algebra Sumrules, Nuovo.Cimento 57A,440(1968).
Broken Symmetry and Smushkewich Principle, Nuovo.Cimento 59A,20(1969).
Bounds on Pion Renormalization Constant, Proc.Colorado Summer School,1969.
Rigorous bounds on the wave function renormalization constant, Physical Review D12, 3403(1970).
Recursion relations for the multi-Veneziano amplitude and the residue functions, Z.fur.Phys.235,206(1970).
Configuration mixing for the baryon and renormalization in Cabibbo Theory, Nuovo.Cimento Letters 3, 454(1972).
The remarkable connection between Multi-Venetiano Integrand and the Character Function of Special Unitary Groups, J.Math.Phys.13,1823(1972).
Leptonic quarks and the unified description of weak and electromagnetic interractions, Proc.Nuclear Physics Conference, Mysore, India (1973).
A seven quark model for the spectrum of hadrons, Physical Review D14, 3200(1976).
Supersymmetry and Exceptional Groups, Lecture Notes in Physics 79,391(1977), Springer-Verlag, Germany.
New Particles,and New Physics, Proc.Tamilnadu Acad.Sci.(India)1,35(1978).
New Particles, Matscience Report92, 11(1978).
Multiplicity scaling and compound Poisson distributions, Proc.Conf on Fewbody problems, Laval Univ.Press(Canada), 1975, p.653.
Are the nucleans composite of only three valence quarks? Proc.Tamilnadu.Acad. Sci.4, 1(1981).
Unification of fundamental forces and Cosmology, Matscience Report108(1981).
On a Number theoretic problem involved in the study of physics of spin systems, Lecture Notes in Mathematics 938, Springer-Verlag, Ed.K.Alladi,p.82.
On the classical solution of SO(3) Gauge theory and 't Hooft-Polyakov Momopole, Pramana24,457(1985).
Supersymmetric Quantum Mechanics and the Phase problem of the Harmonic Oscillator, Physical Review, D33,3790(1986) Rapid Communications.
The concept of Maximum CP-nonconservation in arbitrary number of generations, J.Sc.Tech.Res.49, 174(1990).
A Symmetric Mass Matrix, Physical Review D43,945(1991).
Supersymmetric Dirac Oscillator, J.Math.Phys.33,1114(1992).

B. GROUP THEORY:

Some remarks on the construction of invariants of semi-simple Lie groups, J.Math.Phys.7,1886(1966).
A compact formula for the C.G.coefficient of SU(3). Nuovo Cimento 45A,1046(1966).
Internal multiplicity Structure and Clebsch-Gordan series of Exceptional Group, G(2), J.Math.Phys.8,2206(1967).
Lectures on Group Theory and Applications, Matscience Report 61, 1967.
Generating Functions of Classical Groups and Evaluation of Partition Functions, J.Math.Phys.10,1704 (1969).
General Involutional Transformations and the representation of GL(n),J.Math.Phys.12,377(1971).
On the symmetries of Racah Coefficients, J.Math.Pjys.16,1528(1975).
Multi-quark model and the Embedding of Groups,J.Math.Phys.18,849(1977).
Generalized Inverse and Kostant's partition functions, Matscience Report.(1977).
Indecomposable representations of the Algebra of Para-Bose oscillators, J.Math.Phys.24,1032(1983).
A unified description of the representations of the Graded Algebra GL(2),J.Math.Phys.25,1253(1984).
Indecomposable representations of some Graded Algebras, Springer Lecture Notes in Physics 201,73(1984).
An Introduction to the Group Theory underlying the Interacting Boson Model, Proc.Recent Trends in Theor.Nuclear Phys. Macmillan(India),Ed.K.S.Rao,15(1987).
Invariant Equations and Indecomposable Representations, Proc.XIV Group Theory Conf., Seoul, Korea, p.280 (1985), World. Scientific(Singapore). Eds.Y.M.Cho..
A new recurrence formula for the Racah Coefficient, J.Phys.A20,3041(1987).
Kostant's Partition functions in Kac-Moody algebras, Workshop on Particle Physics, Kanpur, India (1988), Ed.H.S.Mani, and R.Ramachandran, World Scientific, Singapore.p.457.
Multiplicative Diophantine Equations Journal of Number Theory 42,20(1992).
Kostant Partition Functions for Affine Kac-Moody Algebras Internat.J.Math. & Math.Sci.539-552(1997).
Kostant's Partition functions for twisted Kac-Moody algebras, ..J.Math. & Math.Sci., In Print (1999).
Third Order transport coefficient for charged particle swarms, Journal of Chemical Physics, Vol 100, n 5, 1 Feb 1999, Slobodan B. Vrhovac and Zoran Lj. Petrovic, Larry Viehland and Thalanayar S. Santhanam

C. CLIFFORD ALGEBRAS, GENERALIZED CLIFFORD ALGEBRAS:

Clifford Algebra and massless Fields, Progr.Theor.Phys.(Japan},41,264(1969).
Representation Theory of Generalized Clifford Algebras, J.Math.Phys.Sci (India),3,307(1969).
The Fundamental Theorem in Spinor Theory, Symp. on Theor.Phys.Vol10, Plenum Press, N.Y.(USA)
Helicity Matrices and Generalized Clifford Algebras,J.Math.Anal and Appl.26, 275 (1969).
Generalized Clifford Algebra and the Unitary Group,J.Math.Anal and Appl.27, 164 (1969).
Generalized Idempotent Matrices, J.Math.Anal and Appl.27, 563 (1969).
Representation Theory of Generalized Clifford Algebras, Proc.I Mastech Conf.1969.
Sylvester Matrix and Symmetrical Components of Electrical Network, Matrix and Tensor Quarterly 21, 121(1971).
Evaluation of sprus of products of generalized Clifford elements, Matrix and Tensor Quarterly 23,99 (1973).
Traces of Generalized Clifford Elements, Matscience Report 79, 1973.

D. RELATIVISTIC WAVE EQUATIONS:

The Equations of Motion in Odd space-time and CPT Invariance,J.Math.Phys.11,1122(1970).
Relativistic wave Equations describing the Neutrino, Nuovo.Cimento Letters 3,190 (1972).
CP and CPT non-invarant Relativistic Equations and the Two-component Neutrino, Nuovo Cimento Letters 6,99 (1973).
Linear Relativistic wave Equations for Particles with spin ½, Progr.Theor.Phys(Japan), 47,671(1972).
On the new spin ½ Equation, Progr.Theor Phys(Japan)50,992(1973).
Bhabha Equations for unique mass and spin, Fortschrift der physik Heft 8,1974.
Unitary Foldy-Wouthysen Transformations for Particles of arbitrary spin, Nuovo Cimento Letters10, 737 (1974).
Invariant Wave Equations and Indecomposable Representations,Proc.14th Group Theory Conference, Seoul, Korea, World Scientific (Singapore)1986.p.280 Ed.Y.M.Cho.

E. COHERENT AND GENERALIZED COHERENT STATES:

Angular Momentum coherent states, Proc. International Conf. On Frontiers of Physics, Singapore, 1978.Singapore National Academy of Sciences,Vol.21978, p.1167-96,Ed.K.K.Phua.
Angular Momentum Coherent States, Matscience Report92, 1978.
Coherent States of Para-Bose oscillators,J.Aust. Math.Soc.B22,210 (1980).
Generalized Coherent States,Proc. Einstein Centennial Celebrations, Carbondale, Illinois, U.S.A.Plenum Press, N.Y., p.337(1980)., Ed.B.Gruber, and R.Millman.
Impossibility of squeezed coherent states for a Para-Bose Oscillator, Physical Review 30D,2251(1984).
Representation of Rigid Stimulus Transformations by Cortical Activity Patterns in "Geometric Representations of Perceptual Phenomena", Lawrence Erlbaum Associates Publishers, p.61,(1995), Eds.R.Duncan Luce et.al.

F. QUANTUM MECHANICS IN FINITE DIMENSIONS:

Weyl's Quantum Mechanics and Uncertainty Principle, Proc.Refresher Course for Post-graduate Teachers,1973,Presidency College, Madras, India.Ed.P.Thirugnanasambandam.
Quantum Mechanics in Finite Dimensions, Foundations of Physics 6,583(1976).
Canonical Commutation Relations for operators with a bounded spectrum, Phys.Letters.56A,345(1976).
Quantum Mechanics of B0unded Operators, in "Uncertainty Principle and Foundations of Quantum Mechanics",Eds.W.Price, and S.S.Chissick, John-Wiley, London,227-243, 1977.Werner. Heissenberg Memorial Volume.
Quantum Mechanics in Discrete Space and Angular Momentum, Foundations of Physics 7,121 (1977).
Does Weyl's Commutation Relation imply a Generalized Statistics? Nuovo Cimento Letters 20, 13 (1977).
Quantum Mechanics in Finite Space, Aust.J.Phys.31,233 (1978).
Finite Dimensional Quantum Mechanics of a Particle, Int.J.Theor.Phys.20, 755 (1981).
Finite Dimensional Quantum Mechanics of a Particle II, Int.J.Theor.Phys.21, 351 (1982).
Quantum Mechanics in Finite Space, Physica 114,445 (1982).
Finite Fourier Transformations and the Hamistonian of finite dimensional quantum systems, IC/82/12 Trieste..
Finite dimensional matrix representations if Differential operators, determinantal form,and zeros of special functions,IC/86/379, Trieste.
Matrix representation of differential operators and applications to special functions,Proc. International conference on Special functions and applications, Gorakpur, U.P.,India.1986.
Incompatible operators in Discrete Quantum Mechanics, Phys.Letters A 135,235 (1989).
A Note on the Angular Fourier Transformation, Proc.International Conference on Harmonic Oscillator, Mexico, 1994. NASA Report, p.249.
An algorithm for the basis of the Finite Fourier Transformation, Proc. International workshop on Harmonic Oscillators, Mexico, 1994. NASA Report, p.239.
Quantum Groups, deformed oscillators, and Heisenberg-Weyl quantum Mechanics, in Selected Topics in Mathematical Physics, Allied Publishers, Ltd(India),1995, p303.Eds. R.Sridar et.al Prof.Vasudevan Memorial Volume.
Finite-Space Quantum Mechanics and Krawtchuk Functions, Proc. International Workshop on Special Functions held in Madras, India, 1997, Eds. K.S. Rao et al., Allied Publishers (India), pg 192.

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