PUBLICATIONS

N. R. Ranganathan and R. Jagannathan
Generalized Clifford groups and their physical relevance
Proc. II Int. Colloq. Group Theoretical Methods in Physics
(University of Nijmegen, the Netherlands, 1973) Vol.B, 232241

R. Jagannathan and N. R. Ranganathan
On generalized Clifford groups  I
Rep. Math. Phys. 5 (1974) 131143

R. Jagannathan and N. R. Ranganathan
On generalized Clifford groups  II
Rep. Math. Phys. 7 (1975) 229238

R. Jagannathan and H. N. V. Dutt
A negative energy relativistic wave equation
J. Math. Phys. Sci. 9 (1975) 301302

R. Jagannathan
On certain numerical and combinatorial aspects of Clifford algebra,
its applications and associated structures
Proc. Conf. Numerical Analysis and Combinatorial Methods (The
Institute of Mathematical Sciences, Madras) MATSCIENCE Report 79
(1975) 6078

Alladi Ramakrishnan and R. Jagannathan
A new approach to matrix theory or many facets of the matrix
decomposition theorem
Topics in Numerical Analysis  II (Proc. Royal Irish Academy Conf.
Numerical Analysis, Dublin, Ireland, 1974) Ed. J H Miller
(Academic Press, London, 1976) 133139

R. Jagannathan and N. R. Ranganathan
A new form of magnetic Bloch functions and applications to magnetic
band structure calculations
Phys. Stat. Solidi B 74 (1976) 667672

R. Jagannathan
Matrix approach to certain number theoretical problems
Proc. Conf. Matrix algebra, Computational Methods and Number Theory
(The Institute of Mathematical Sciences, Madras) MATSCIENCE Report
87 (1977) 618

R. Jagannathan
Comments on some physical applications of generalized Clifford
algebras: Problems of quantum canonical transformations, lattice
dynamics, and Bloch electrons in a homogeneous magnetic field
Proc. Conf. Structure of Matter: Mathematics and Phenomenology
(The Institute of Mathematical Sciences, Madras) MATSCIENCE Report
93 (1978) 4156

R. Jagannathan and R. Vasudevan
A note on representations of parafermi algebra
J. Math. Phys. 19 (1978) 14931494

V. A. Chinnappan, R. Jagannathan and G. A. Savari Raj
Isotopic invariants of nonlinear symmetrical XY$_2$ and planar
symmetrical XY$_3$ molecules
Indian J. Pure and Appl. Phys. 16 (1978) 668672

R. Jagannathan
Contributions to Clifford algebra, its generalizations and new kinds
of representations of the Dirac equation
Proc. Conf. Mathematical Methods in Physics (The Institute of
Mathematical Sciences, Madras) MATSCIENCE Report 96A (1979)
5173

R. Jagannathan and R. Vasudevan
Representations of a parabose algebra using only a single Bose
field
J. Math. Phys. 20 (1979) 390392

R. Jagannathan and R. Vasudevan
On $kq$representations in quantum mechanics
J. Phys. A : Math. Gen. 12 (1979) 13671373

R. Jagannathan and R. Vasudevan
New representations of parafermi and parabose fields
Proc. Conf. Probability, Stochastic Processes and Statistical
Mechanics (The Institute of Mathematical Sciences, Madras) MATSCIENCE
Report 97 (1979) 111

R. Jagannathan
A matrix approach to certain inverses of arithmetical functions
Proc. Conf. Number Theory (The Institute of Mathematical Sciences,
Madras) MATSCIENCE Report 101 (1980) 7581

R. Jagannathan, V. A. Chinnappan and G. A. Savari Raj
On isotopic invariants of polyatomic molecules
Indian J. Pure and Appl. Phys. 18 (1980) 964969

R. Jagannathan
On the use of matrix methods in certain number theoretical
problems
Proc. Conf. Number Theory (The Institute of Mathematical Sciences,
Madras) MATSCIENCE Report 104 (1981) 131138

R. Jagannathan and R. Vasudevan
Boson, paraboson and bosonfermion representations of some graded Lie
algebras
J. Math. Phys. 22 (1981) 22942299

R. Jagannathan, T. S. Santhanam and R. Vasudevan
Finitedimensional quantum mechanics of a particle
Int. J. Theor. Phys. 20 (1981) 755773

R. Jagannathan and T. S. Santhanam
Finitedimensional quantum mechanics of a particle  II
Int. J. Theor. Phys. 21 (1982) 351362

R. Jagannathan
Dynamics of Bloch electrons in a homogeneous magnetic field: A
pseudopotential formalism
Proc. Tamilnadu Acad. Sci. 5 (1982) 3140

R. Jagannathan and T. S. Santhanam
On a number theoretical problem involved in the study of the physics
of spin systems
Proc. Conf. Number Theory (The Institute of Mathematical Sciences,
Madras), Ed. K. Alladi, Springer Lecture Notes in
Mathematics 938 (1982) 8292

R. Jagannathan
New forms of the Dirac equation with the Dirac matrices replaced by
operators involving internal variables
Proc. Conf. Particle Interactions and Astrophysics (The Institute of
Mathematical Sciences, Madras) MATSCIENCE Report 108 (1982)
203213

N. Subramaniam, R. Srinivasamoorthy, G. A. Savari Raj and
R. Jagannathan
Molecular constants using isotopic frequency shifts
Proc. Conf. Vibrational Spectroscopy (Madras Institute of Technology,
Madras, (1983) 7476

R. Jagannathan
On some new concepts in probability theory
Proc. Winter School on Stochastic Processes (University of Hyderabad,
Hyderabad) , Eds. G. S. Agarwal and S. Datta Gupta,
Springer Lecture Notes in Physics 184 (1983) 5460

R. Jagannathan
Finitedimensional quantum mechanics of a particle  III: The Weylian
quantum mechanics of confined quarks
Int. J. Theor. Phys. 22 (1983) 11051121

R. Jagannathan
A note on the Lorentz transformation in three dimensions
J. Math. Anal. Appl. 94 (1983) 242245

N. Subramaniam, R. Srinivasamoorthy and R. Jagannathan
On the application of perturbation theory for the calculation of
molecular constants from isotopic frequency shifts
Indian J. Pure and Appl. Phys. 21 (1983) 731732

N. Subramaniam, R. Srinivasamoorthy, G. A. Savari Raj and
R. Jagannathan
On the use of root location theorems for matrices in the problem of
determination of molecular force constants
Indian J. Phys. 58B (1984) 349352

R. Jagannathan
On projective representations of finite abelian groups
Proc. Conf. Number Theory (The Institute of Mathematical Sciences,
Madras), Ed. K. Alladi, Springer Lecture Notes in
Mathematics 1122 (1985) 130139

R. Jagannathan, R. Simon, E. C. G. Sudarshan and R Vasudevan
Dynamical maps and nonnegative phasespace distribution functions in
quantum mechanics
Phys. Lett. A 120 (1987) 161164

R. Jagannathan, R. Simon, E. C. G. Sudarshan and N. Mukunda
Quantum theory of magnetic electron lenses based on the Dirac
equation
Phys. Lett. A 134 (1989) 457464

R. Jagannathan
Quantum theory of electron lenses based on the Dirac equation
Phys. Rev. A 42 (1990) 66746689

R. Chakrabarti and R. Jagannathan
On the representations of $GL_q(n)$ using the HeisenbergWeyl
relations
J. Phys. A: Math. Gen. 24 (1991) 17091720

R. Chakrabarti and R. Jagannathan
On the representations of $GL_{p,q}(2)$, $GL_{p,q}(11)$ and the
noncommutative spaces
J. Phys. A: Math. Gen. 24 (1991) 56835701

R. Chakrabarti and R. Jagannathan
A $(p,q)$oscillator realization of twoparameter quantum
algebras
J. Phys. A: Math. Gen. 24 (1991) L711L718

K. Srinivasa Rao, J. Van der Jeugt, J. Raynal, R. Jagannathan and
V. Rajeswari
Group theoretical basis for the terminating} $_3F_2(1)$ series
J. Phys. A: Math. Gen. 25 (1992) 861876

K. S. Viswanathan, R. Parthasarathy and R. Jagannathan
Generalized $q$fermion oscillators and $q$coherent states
J. Phys. A: Math. Gen. 25 (1992) L335L339

R. Chakrabarti and R. Jagannathan
A $(p,q)$deformed Virasoro algebra
J. Phys. A: Math. Gen. 25 (1992) 26072614

R. Chakrabarti and R. Jagannathan
On the number operators of singlemode} $q$oscillators
J. Phys. A: Math. Gen. 25 (1992) 63936398

R. Chakrabarti and R. Jagannathan
A twoparameter deformation of the JaynesCummings model: A path
integral representation
J. Phys. A: Math. Gen. 25 (1992) 63996408

R. Jagannathan, R. Sridhar, R. Vasudevan, S. Chaturvedi, M. Krishnakumari,
P. Shanta and V. Srinivasan
On the number operators of multimode systems of deformed oscillators
covariant under quantum groups
J. Phys. A: Math. Gen. 25 (1992) 64296453

S. Chaturvedi, R. Jagannathan, R. Sridhar and V. Srinivasan
Nonrelativistic quantum mechanics in a noncommutative space
J. Phys. A: Math. Gen. 26 (1993) L105L112

R. Chakrabarti, R. Jagannathan and R. Vasudevan
A new look at the $q$deformed calculus
Mod. Phys. Lett. A 8 (1993) 26952701

S. Chaturvedi, R. Jagannathan and V. Srinivasan
TammDancoff deformation of bosonic oscillator algebras
Mod. Phys. Lett. A 8 (1993) 37273734

R. Jagannathan
Dirac equation and electron optics
Dirac and Feynman: Pioneers in Quantum Mechanics, Eds. R. Dutt
and A. K. Ray (Wiley Eastern, New Delhi, 1993) 7582

S. A. Khan and R. Jagannathan
Theory of relativistic electron beam transport based on the Dirac
equation
Proc. Third National Seminar on Physics and Technology of
Particle Accelerators and their Applications(PATPAA93)
(Calcutta, 1993) Ed. S. N. Chintalapudi (InterUniversity Consortium
of Department of Atomic Energy Facilities (IUCDAEF) Publ.) 102107

R. Chakrabarti and R. Jagannathan
On $U_{p,q}(gl(2))$ and a $(p,q)$Virasoro algebra
J. Phys. A: Math. Gen. 27 (1994) 20232035

R. Chakrabarti and R. Jagannathan
A $q$deformation of the parasupersymmetric quantum mechanics
Int. J. Mod. Phys. A 9 (1994) 14111421

R. Chakrabarti and R. Jagannathan
Parabosons, Virasorotype algebras and their
deformations
J. Phys. A: Math. Gen. 27 (1994) L277L283

P. Shanta, S. Chaturvedi, V. Srinivasan and R. Jagannathan
Unified approach to the analogues of singlephoton and
multiphoton coherent states for generalized boson oscillators
J. Phys. A: Math. Gen. 27 (1994) 64336442

S. A. Khan and R. Jagannathan
Quantum mechanics of chargedparticle beam transport through magnetic
lenses
Phys. Rev. E 51 (1995) 25102515

R. Chakrabarti and R. Jagannathan
On a nonstandard twoparametric quantum algebra and its
connections with $U_{p,q}(gl(2))$ and $U_{p,q}(gl(11))$
Z. Phys. C: Particles and Fields 66 (1995) 523528
(ePrint: arXiv:hepth/9410163)

R. Jagannathan and J. Van der Jeugt
Finitedimensional representations of the quantum group
$GL_{p,q}(2)$ using the exponential map from $U_{p,q}(gl(2))$
J. Phys. A: Math. Gen. 28 (1995) 28192831
(ePrint: arXiv:hepth/9411200)

J. Van der Jeugt and R. Jagannathan
Polynomial deformations of $osp(1/2)$ and generalized
parabosons
J. Math. Phys. 36 (1995) 45074518
(ePrint: arXiv:hepth/9410145)

R. Jagannathan and S. A. Khan
Wigner functions in charged particle optics
Selected Topics in Mathematical Physics  Professor R. Vasudevan
Memorial Volume, Eds. R. Sridhar, K. Srinivasa Rao and
V. Lakshminarayanan (Allied Publishers, Madras, Delhi, 1995) 308321

J. Van der Jeugt and R. Jagannathan
The exponential map for representations of
$U_{p,q}(gl(2))$
Proc. of the 4th International Colloquium on Quantum Groups and
Integrable Systems, Prague, 1995: Czech. J. Phys. 46 (1996)
269275
(ePrint: arXiv:qalg/9507009)

R. Chakrabarti and R. Jagannathan
On the Hopf structure of $U_{p,q}(gl(11))$ and the universal
${\cal T}$matrix of $Fun_{p,q}(GL(11))$
Lett. Math. Phys. 37 (1996) 191199
(ePrint: arXiv:hepth/9409161)

R. Jagannathan and S. A. Khan
Quantum theory of the optics of charged particles
Advances in Imaging and Electron Physics Vol.97,
Ed. P. W. Hawkes (Academic Press, San Diego, 1996) 257358

M. Conte, R. Jagannathan, S. A. Khan and M. Pusterla
Beam optics of the Dirac particle with anomalous magnetic
moment
Part. Accel. 56 (1996) 99125

R. Chakrabarti and R Jagannathan
The dual $(p,q)$AlexanderConway Hopf algebras and the associated
${\cal T}$matrix
Z. Phys. C: Particles and Fields 72 (1996) 519524
(ePrint: arXiv:qalg/9602020)

B. BasuMallick, P. Ramadevi and R. Jagannathan
Multiparametric and coloured extensions of the quantum
group $GL_q(N)$ and the Yangian algebra $Y(gl_N)$ through a
symmetry transformation of the YangBaxter equation
Int. J. Mod. Phys. A 12 (1997) 945962
(ePrint: arXiv:qalg/9511028)

R. Jagannathan and S. A. Khan
Quantum mechanics of accelerator optics
ICFA Beam Dynamics Newsletter No. 13 (April, 1997) 2127
(International Committee for Future Accelerators (ICFA))

R. Jagannathan
$(P,Q)$Special functions
Proc. Workshop on Special Functions & Differential Equations
(The Institute of Mathematical Sciences, Chennai, January, 1997),
Eds. K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe and
J. Van der Jeugt, (Allied Publishers, New Delhi, 1998) 158164
(ePrint: arXiv:math.QA/9803142)

R. Jagannathan
The Dirac equation approach to spin1/2 particle beam optics
Proc. 15th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of
Beam Physics (January 1998, Monterey, California, U.S.A), Ed. Pisin Chen
(World Scientific, Singapore, 1998) 670681
(ePrint: arXiv:physics/9803042)

J. Van der Jeugt and R. Jagannathan
Realizations of $su(1,1)$ and $U_q(su(1,1))$ and generating functions for
orthogonal polynomials
J. Math. Phys. 39 (1998) 50625078
(ePrint: arXiv:mathph/9807019)

V. Lakshminarayanan, R. Sridhar and R. Jagannathan
A Lie algebraic treatment of dioptric power and optical aberrations
J. Opt. Soc. America A 15 (1998) 24972503

V. Sunilkumar, B. A. Bambah, R. Jagannathan, P. K. Panigrahi and
V. Srinivasan
Coherent states of nonlinear algebras: Applications in quantum
optics
J. Opt. B: Quantum Semiclass. Opt. 2 (2000) 126132
(ePrint: arXiv:quantph/9907075)

V. Sunilkumar, B. A. Bambah and R. Jagannathan
Three dimensional quadratic algebras: Some realizations and
representations
J. Phys. A: Math. Gen. 34 (2001) 85838596
(ePrint: arXiv:mathph/0108027)

R. Jaganathan
Some introductory notes on quantum groups, quantum algebras, and
their applications
Proc. the Institutional and Instructional Program on Quantum Groups
and their Applications (March 2001, University of Madras, Chennai), Ed.
S. Parvathi (Publ. # 10, The Ramanujan Institute, 2002) pp. 121
(ePrint: arXiv:mathph/0105002)

V. Sunil Kumar, B. A. Bambah and R. Jagannathan
JordanSchwinger realizations of three dimensional polynomial
algebras
Mod. Phys. Lett. A 17 (2002) 15591566
(ePrint: arXiv:mathph/0205005)

R. Jaganathan
Quantum mechanics of Dirac particle beam optics: Singleparticle
theory
Proc. 18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of
Beam Physics (October 2000, Capri, Italy), Ed. Pisin Chen (World Scientific,
Singapore, 2002) pp. 568577
(ePrint: arXiv:physics/0101060)

R. Sridhar and R. Jagannathan
On the $q$analogues of the Zassenhaus formula for disentangling
exponential operators
To appear in the Proc. the International Conference on Special Functions
 2002 (IMSc, Chennai) to be published as a special issue of J. Comp. Appl.
Math.
(ePrint: arXiv:mathph/0212068)

R. Jaganathan
Quantum mechanics of Dirac particle beam transport through optical
elements with straight and curved axes
To appear in the Proc. 28th Advanced ICFA Beam Dynamics Workshop on
Quantum Aspects of Beam Physics (January 2003, Hiroshima, Japan) Ed. Pisin
Chen (World Scientific, Singapore)
(ePrint: arXiv:physics/0304099)

S. A. Khan, R. Jagannathan and R. Simon
FoldyWouthuysen transformation and a quasiparaxial approximation
scheme for the scalar wave theory of light beams
(ePrint: arXiv:physics/0209082)
For copies of the above publications please send email to:
jagan@imsc.res.in