PUBLICATIONS


  1. 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, 232-241

  2. R. Jagannathan and N. R. Ranganathan
    On generalized Clifford groups - I
    Rep. Math. Phys. 5 (1974) 131-143

  3. R. Jagannathan and N. R. Ranganathan
    On generalized Clifford groups - II
    Rep. Math. Phys. 7 (1975) 229-238

  4. R. Jagannathan and H. N. V. Dutt
    A negative energy relativistic wave equation
    J. Math. Phys. Sci. 9 (1975) 301-302

  5. 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) 60-78

  6. 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) 133-139

  7. 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) 667-672

  8. 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) 6-18

  9. 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) 41-56

  10. R. Jagannathan and R. Vasudevan
    A note on representations of para-fermi algebra
    J. Math. Phys. 19 (1978) 1493-1494

  11. 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) 668-672

  12. 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) 51-73

  13. R. Jagannathan and R. Vasudevan
    Representations of a parabose algebra using only a single Bose field
    J. Math. Phys. 20 (1979) 390-392

  14. R. Jagannathan and R. Vasudevan
    On $kq$-representations in quantum mechanics
    J. Phys. A : Math. Gen. 12 (1979) 1367-1373

  15. R. Jagannathan and R. Vasudevan
    New representations of para-fermi and parabose fields
    Proc. Conf. Probability, Stochastic Processes and Statistical Mechanics (The Institute of Mathematical Sciences, Madras) MATSCIENCE Report 97 (1979) 1-11

  16. 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) 75-81

  17. R. Jagannathan, V. A. Chinnappan and G. A. Savari Raj
    On isotopic invariants of polyatomic molecules
    Indian J. Pure and Appl. Phys. 18 (1980) 964-969

  18. 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) 131-138

  19. R. Jagannathan and R. Vasudevan
    Boson, paraboson and boson-fermion representations of some graded Lie algebras
    J. Math. Phys. 22 (1981) 2294-2299

  20. R. Jagannathan, T. S. Santhanam and R. Vasudevan
    Finite-dimensional quantum mechanics of a particle
    Int. J. Theor. Phys. 20 (1981) 755-773

  21. R. Jagannathan and T. S. Santhanam
    Finite-dimensional quantum mechanics of a particle - II
    Int. J. Theor. Phys. 21 (1982) 351-362

  22. R. Jagannathan
    Dynamics of Bloch electrons in a homogeneous magnetic field: A pseudopotential formalism
    Proc. Tamilnadu Acad. Sci. 5 (1982) 31-40

  23. 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) 82-92

  24. 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) 203-213

  25. 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) 74-76

  26. 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) 54-60

  27. R. Jagannathan
    Finite-dimensional quantum mechanics of a particle - III: The Weylian quantum mechanics of confined quarks
    Int. J. Theor. Phys. 22 (1983) 1105-1121

  28. R. Jagannathan
    A note on the Lorentz transformation in three dimensions
    J. Math. Anal. Appl. 94 (1983) 242-245

  29. 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) 731-732

  30. 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) 349-352

  31. 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) 130-139

  32. R. Jagannathan, R. Simon, E. C. G. Sudarshan and R Vasudevan
    Dynamical maps and nonnegative phase-space distribution functions in quantum mechanics
    Phys. Lett. A 120 (1987) 161-164

  33. 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) 457-464

  34. R. Jagannathan
    Quantum theory of electron lenses based on the Dirac equation
    Phys. Rev. A 42 (1990) 6674-6689

  35. R. Chakrabarti and R. Jagannathan
    On the representations of $GL_q(n)$ using the Heisenberg-Weyl relations
    J. Phys. A: Math. Gen. 24 (1991) 1709-1720

  36. R. Chakrabarti and R. Jagannathan
    On the representations of $GL_{p,q}(2)$, $GL_{p,q}(1|1)$ and the noncommutative spaces
    J. Phys. A: Math. Gen. 24 (1991) 5683-5701

  37. R. Chakrabarti and R. Jagannathan
    A $(p,q)$-oscillator realization of two-parameter quantum algebras
    J. Phys. A: Math. Gen. 24 (1991) L711-L718

  38. 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) 861-876

  39. K. S. Viswanathan, R. Parthasarathy and R. Jagannathan
    Generalized $q$-fermion oscillators and $q$-coherent states
    J. Phys. A: Math. Gen. 25 (1992) L335-L339

  40. R. Chakrabarti and R. Jagannathan
    A $(p,q)$-deformed Virasoro algebra
    J. Phys. A: Math. Gen. 25 (1992) 2607-2614

  41. R. Chakrabarti and R. Jagannathan
    On the number operators of single-mode} $q$-oscillators
    J. Phys. A: Math. Gen. 25 (1992) 6393-6398

  42. R. Chakrabarti and R. Jagannathan
    A two-parameter deformation of the Jaynes-Cummings model: A path integral representation
    J. Phys. A: Math. Gen. 25 (1992) 6399-6408

  43. 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) 6429-6453

  44. S. Chaturvedi, R. Jagannathan, R. Sridhar and V. Srinivasan
    Nonrelativistic quantum mechanics in a noncommutative space
    J. Phys. A: Math. Gen. 26 (1993) L105-L112

  45. R. Chakrabarti, R. Jagannathan and R. Vasudevan
    A new look at the $q$-deformed calculus
    Mod. Phys. Lett. A 8 (1993) 2695-2701

  46. S. Chaturvedi, R. Jagannathan and V. Srinivasan
    Tamm-Dancoff deformation of bosonic oscillator algebras
    Mod. Phys. Lett. A 8 (1993) 3727-3734

  47. 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) 75-82

  48. 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 (Inter-University Consortium of Department of Atomic Energy Facilities (IUC-DAEF) Publ.) 102-107

  49. R. Chakrabarti and R. Jagannathan
    On $U_{p,q}(gl(2))$ and a $(p,q)$-Vira-soro algebra
    J. Phys. A: Math. Gen. 27 (1994) 2023-2035

  50. R. Chakrabarti and R. Jagannathan
    A $q$-deformation of the parasupersymmetric quantum mechanics
    Int. J. Mod. Phys. A 9 (1994) 1411-1421

  51. R. Chakrabarti and R. Jagannathan
    Parabosons, Virasoro-type algebras and their deformations
    J. Phys. A: Math. Gen. 27 (1994) L277-L283

  52. P. Shanta, S. Chaturvedi, V. Srinivasan and R. Jagannathan
    Unified approach to the analogues of single-photon and multiphoton coherent states for generalized boson oscillators
    J. Phys. A: Math. Gen. 27 (1994) 6433-6442

  53. S. A. Khan and R. Jagannathan
    Quantum mechanics of charged-particle beam transport through magnetic lenses
    Phys. Rev. E 51 (1995) 2510-2515

  54. R. Chakrabarti and R. Jagannathan
    On a nonstandard two-parametric quantum algebra and its connections with $U_{p,q}(gl(2))$ and $U_{p,q}(gl(1|1))$
    Z. Phys. C: Particles and Fields 66 (1995) 523-528
    (e-Print: arXiv:hep-th/9410163)

  55. R. Jagannathan and J. Van der Jeugt
    Finite-dimensional 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) 2819-2831
    (e-Print: arXiv:hep-th/9411200)

  56. J. Van der Jeugt and R. Jagannathan
    Polynomial deformations of $osp(1/2)$ and generalized parabosons
    J. Math. Phys. 36 (1995) 4507-4518
    (e-Print: arXiv:hep-th/9410145)

  57. 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) 308-321

  58. 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) 269-275
    (e-Print: arXiv:q-alg/9507009)

  59. R. Chakrabarti and R. Jagannathan
    On the Hopf structure of $U_{p,q}(gl(1|1))$ and the universal ${\cal T}$-matrix of $Fun_{p,q}(GL(1|1))$
    Lett. Math. Phys. 37 (1996) 191-199
    (e-Print: arXiv:hep-th/9409161)

  60. 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) 257-358

  61. M. Conte, R. Jagannathan, S. A. Khan and M. Pusterla
    Beam optics of the Dirac particle with anomalous magnetic moment
    Part. Accel. 56 (1996) 99-125

  62. R. Chakrabarti and R Jagannathan
    The dual $(p,q)$-Alexander-Conway Hopf algebras and the associated ${\cal T}$-matrix
    Z. Phys. C: Particles and Fields 72 (1996) 519-524
    (e-Print: arXiv:q-alg/9602020)

  63. B. Basu-Mallick, 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 Yang-Baxter equation
    Int. J. Mod. Phys. A 12 (1997) 945-962
    (e-Print: arXiv:q-alg/9511028)

  64. R. Jagannathan and S. A. Khan
    Quantum mechanics of accelerator optics
    ICFA Beam Dynamics Newsletter No. 13 (April, 1997) 21-27
    (International Committee for Future Accelerators (ICFA))

  65. 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) 158-164
    (e-Print: arXiv:math.QA/9803142)

  66. R. Jagannathan
    The Dirac equation approach to spin-1/2 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) 670-681
    (e-Print: arXiv:physics/9803042)

  67. 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) 5062-5078
    (e-Print: arXiv:math-ph/9807019)

  68. V. Lakshminarayanan, R. Sridhar and R. Jagannathan
    A Lie algebraic treatment of dioptric power and optical aberrations
    J. Opt. Soc. America A 15 (1998) 2497-2503

  69. 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) 126-132
    (e-Print: arXiv:quant-ph/9907075)

  70. V. Sunilkumar, B. A. Bambah and R. Jagannathan
    Three dimensional quadratic algebras: Some realizations and representations
    J. Phys. A: Math. Gen. 34 (2001) 8583-8596
    (e-Print: arXiv:math-ph/0108027)

  71. 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. 1-21
    (e-Print: arXiv:math-ph/0105002)

  72. V. Sunil Kumar, B. A. Bambah and R. Jagannathan
    Jordan-Schwinger realizations of three dimensional polynomial algebras
    Mod. Phys. Lett. A 17 (2002) 1559-1566
    (e-Print: arXiv:math-ph/0205005)

  73. R. Jaganathan
    Quantum mechanics of Dirac particle beam optics: Single-particle 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. 568-577
    (e-Print: arXiv:physics/0101060)

  74. 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.
    (e-Print: arXiv:math-ph/0212068)

  75. 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)
    (e-Print: arXiv:physics/0304099)

  76. S. A. Khan, R. Jagannathan and R. Simon
    Foldy-Wouthuysen transformation and a quasiparaxial approximation scheme for the scalar wave theory of light beams
    (e-Print: arXiv:physics/0209082)




For copies of the above publications please send email to: jagan@imsc.res.in