ALLADI RAMAKRISHNAN

Research Publications

  1. (with H. J. Bhabha) "The mean-square deviation of the number of electrons and quanta in cascade theory", Proc. Indian Acad. Sci. 32 (1950), 141-153.
  2. "Stochastic processes relating to particles distributed in a continuous infinity of states", Proc. Cambridge Phil Soc., 46 (1950), 595-602.

  3. "A note on the size frequency distribution of penetrating showers", Proc. Phys. Soc. London, 63A (1950), 861-863.

  4. "Stochastic processes and their applications to physical problems" PhD Thesis, Univ. Manchester (1951).

  5. "Some simple stochastic processes", J. Royal Stat. Soc., 13 (1951), 131-140.

  6. "A note on Janossy's mathematical model of a nucleon cascade", Proc. Cambridge Phil. Soc., 48 (1952), 451-456.

  7. "On an integral equation of Chandrasekhar and Munsch", Astrophysical J., 115 (1952), 141-144.

  8. "Stochastic processes associated with random divisions of a line", Proc. Cambridge Phil. Soc., 49 (1953), 473-485.

  9. (with P. M. Mathews) "A stochastic problem relating to counters", Phil. Mag., 44 (1953), 1122-1127.

  10. (with P. M. Mathews) "Numerical work on the fluctuation problem of electron cascades", Prog. Theor. Phys. 9 (1953), 679-681.

  11. (with P. M. Mathews) "On a class of stochastic integro-differential equations", Proc. Indian Acad. Sci, Ser A 38 (1953), 450-466.

  12. (with P. M. Mathews) "On the solution of an integral equation of Chandrasekhar and Munsch", Astrophysical J.. 119 (1954), 81-90.

  13. "A stochastic model of a fluctuating density field", Astrophysical J., 119 (1954), 443-455.

  14. "A stochastic model of a fluctuating density field - II" Astrophysical J., 119 (1954), 682-685.

  15. "On the molecular distribution functions of a one dimensional fluid - I", Phil. Mag., 45 (1954), 401-410.

  16. "On counters with random dead time" Phil. Mag., 45 (1954), 1050-1052.

  17. (with P. M. Mathews) "On the molecular distribution functions of a one dimensional fluid - II", Phil. Mag., 45 (1954), 1053-1058.

  18. (with P. M. Mathews) "Studies in the stochastic problem of electron-photon cascades", Prog. in Theor. Phys., 11 (1954), 95-117.

  19. (with S. K. Srinivasan) "Two simple stochastic models of cascade multiplication", Prog. in Theor. Phys., 11 (1954), 595-603.

  20. "On stellar statistics" Astrophysical J., 122 (1955), 24-31.

  21. "Inverse probability and evolutionary Markov stochastic processes", Proc. Indian Acad. Sci., 41 (1955), 145-153. (Read at the Annual Meeting of the Academy in Belgaum, Dec 1954.)

  22. (with S. K. Srinivasan) "Fluctuations in the number of photons in an electron-photon cascade", Prog. in Theor. Phys., 13 (1955), 93-99.

  23. (with P. M. Mathews) "Straggling of the range of fast particles as a stochastic process", Proc. Indian Acad. Sci., 41 (1955), 202-209. (Read at the Annual Meeting of the Academy in Belgaum, Dec 1954.)

  24. "Phenomenological interpretation of the integrals of a class of random functions", Proc. Koninkl. Netherlands Akad. 58 (= Indag. Math., 17) (1955), 470-482.

  25. "Phenomenological interpretation of the integrals of a class of random functions - II", Proc. Koninkl. Netherlands Akad. 58 (= Indag. Math., 17) (1955), 634-645.

  26. (with S. K. Srinivasan) "Correlation problems in the study of brightness of the Milky Way", Astrophysical J., 123 (1956), 479-485.

  27. "Processes represented as integrals of a class of random functions", Proc. Koninkl. Netherlands Akad. 59 (= Indag. Math., 18) (1956), 121-127.

  28. (with P. M. Mathews) "Stochastic processes associated with a symmetric oscillatory Poisson process", Proc. Indian Acad. Sci., 43A (1956), 84-98.

  29. (with S. K. Srinivasan) "A new approach to cascade theory", Proc. Indian Acad. Sci., Ser. A. 44 (1956), 263-273.

  30. "A physical approach to stochastic processes", Proc. Indian Acad. Sci. Ser A, 44 (1956), 428-450.

  31. (with S. K. Srinivasan) "Stochastic integrals associated with point processes" (in French), Publ. Inst. Stat. Univ. Paris, 5 (1956), 95-106.

  32. (with R. Vasudevan) "On the distribution of visible stars", Astrophysical J., 126 (1957), 573-578.

  33. "Ergodic properties of some simple stochastic processes", Z. angew. Math. Mech., 37 (1957), 336-344. (Read at the GAMM Conference in May 1956 in Stuttgart.)

  34. (with S. K. Srinivasan) "A note on cascade theory with ionisation loss", Proc. Indian Acad. Sci., Ser. A 45(1957), 133-138.

  35. (with N. R. Ranganathan, S. K. Srinivasan and R. Vasudevan) "Multiple processes in electron-photon cascades", Proc. Indian Acad. Sci., Ser. A, 45(1957), 311-326.

  36. (with S. K. Srinivasan) "On age distribution in population growth", Bull. Math. Biophys., 20 (1958), 289-303.

  37. "Theoretical physics in the USA", Current Sci. 27 (1958), 469-471.

  38. "Ambigenous stochastic processes", Z. angew Math. Mech, 39 (1959), 389-390.

  39. (with N. R. Ranganathan and S. K. Srinivasan) "Meson production in nucleon-nucleon collisions", Nucl. Phys., 10 (1959), 160-165.

  40. (with N. R. Ranganathan, S. K. Srinivasan and K. Venkatesan) "Photo-mesons from polarized nucleons" Proc. Indian Acad. Sci. Ser. A 49 (1959), 302-306.

  41. (with N. R. Ranganathan and S. K. Srinivasan) "A note on the interaction between nucleon and anti-nucleon", Proc. Indian Acad. Sci., 50 (1959), 91-94.

  42. "Probability and stochastic processes" in Handbuch der Physik (S. Flugge, Ed) III/2 (1959), Springer-Verlag, Berlin (1959), 524-651.

  43. (with N. R. Ranganathan, S. K. Srinivasan, and R. Vasudevan) "A note on dispersion relations", Nuclear Phys., 15 (1960), 516-518.

  44. "Perturbation expansions and kernel functions associated with single particle wave functions" in Studies in Theor. Phys., Proc. 1959 Mussoorie Summer School 1 (1960), 1-14.

  45. "Quantum mechanics of the photon" in Studies in Theor. Phys., Proc. 1959 Mussoorie Summer School 1 (1960), 15-18.

  46. "Applications of the theory of stochastic processes to physical problems", in Studies in Theor. Phys., Proc. 1959 Mussoorie Summer School 2 (1960), 239-253.

  47. (with R. Vasudevan) "A physical approach to some limiting stochastic operation", J. Indian Math. Soc.   IV (Golden Jubilee Volume, 1960), 458-477. (work done at Institute for Advanced Study in 1957-58; paper read by AR at Int'l Congress of Math., Edinburgh, 1958)

  48. (with A. P. Balachandran and N. R. Ranganathan) "Some remarks on the structure of elementary particle interactions", Proc. Indian Acad. Sci., 52 (1960), 1-11.

  49. (with T. K. Radha and R. Thunga) "On the decomposition of the Feynman propagator" Proc. Indian Acad. Sci., Ser. A, 52 (1960), 228-239.

  50. (with P. Rajagopal and R. Vasudevan) "Ambigenous stochastic processes", J. Math. Analysis and Appl., 1 (1960), 145-162. (Read by AR at the GAMM Conf., Hanover in May 1959)

  51. (with. T. K. Radha) "Correlation problems in evolutionary stochastic processes", Proc. Cambridge Phil. Soc., 57 (1961), 843-847.

  52. (with A. P. Balachandran, N. G. Deshpande, and N. R. Ranganathan) "On an isobaric spin scheme for leptons and leptonic decays of strange particles", Nucl. Phys., 26 (1961), 52-56.

  53. (with R. Vasudevan) "A physical approach to limiting stochastic operations", J. Indian Math. Soc. (N.S) 24 (1961), 457-477.

  54. (with G. Bhamathi and S. Indumathi) "A limiting process in quantum electrodynamics", Proc. Indian Acad. Sci. Ser A, 53 (1961), 206-213.

  55. (with V. Devanathan and G. Ramachandran) "A time dependent approach to rearrangement collosions", Il Nuovo Cimento, 21 (1961), 145-154.

  56. (with S. K. Srinivasan) "A note on electron photon showers", Nucl. Phys., 25 {1961), 152-154.

  57. (with G. Bhamathi, S. Indumathi, T. K. Radha, and R. Thunga) "Some consequences of spin 3/2 for Ξ", Il Nuovo Cimento, 22 (1961), 604-609.

  58. (with V. Devanathan and G. Ramachandran) "Elastic photo production of nuetral pions from dueterium", Nucl. Phys., 24 (1961), 163-168.

  59. (with N. R. Ranganathan) "Stochastic models in quantum mechanics" J. Math. Analysis and Appl., 3 (1961), 261-294. (Presented by AR at the Conference on Elementary Particles, Trieste 1960)

  60. (with K. Venkatesan) "Some new stochastic aspects in cascade theory", in Proc. 7-th Annual Cosmic Ray Symposium, Chandigarh (1961), 59-61.

  61. (with T. K. Radha) "Essay on symmetries" Lectures at the Kodaikanal Summer School, 2 (1961), 1-77.

  62. (with N. R. Ranganathan) "Stochastic methods in quantum mechanics", J. Math. Analysis and Appl., 3 (1961), 261-294.

  63. (with T. K. Radha and R. Thunga) "The physical basis of quantum field theory", J. Math. Analysis and Appl., 4 (1962), 494-526.

  64. (with T. K. Radha and R. Thunga) "On the concept of virtual states", J. Math. Analysis and Appl., 5 (1962), 225-236.

  65. (with G. Ramachandran) "Magnetic bremsstrahlung in nucleon-electron collisions", Rand Corporation Preprint, Los Angeles (1962).

  66. "New perspectives on the Dirac Hamiltonian and the Feynman propagator", in High Energy Phys. and Fundamental Particles, Gordon and Breach, NY (1962), 665-672.

  67. "A new form of the Feynman propagator", J. Math. Phys, Sci., 1 (1967), 57-64.

  68. (with A. P. Balachandran and K. Raman) "Low energy K+-nucleon scattering", Il Nuovo Cimento, 24 (1962), 369-378.

  69. (with V. Devanathan and K. Venkatesan) "On the scattering of pions by dueterons", Nucl. Phys., 29 (1962), 680-686.

  70. (with T. K. Radha and R. Thunga) "Possible resonances in Ξp reactions", Nucl. Phys., 29 (1962), 517-523.

  71. (with A. P. Balachandran) "Partial wave dispersion relations for Λ-nucleon scattering", Il Nuovo Cimento, 24 (1962), 980-999.

  72. (with A. P. Balachandran, T. K. Radha, and R. Thunga) "On the Y* resonances", Il Nuovo Cimento, 24 (1962), 1006-1012.

  73. (with A. P. Balachandran, T. K. Radha, and R. Thunga) "On the spin and parity of Y* resonances", Il Nuovo Cimento, 25 (1962), 723-729.

  74. (with A. P. Balachandran, T. K. Radha, and R. Thunga) "Photo production of pions and Λ-hyperons", Il Nuovo Cimento, 25 (1962), 939-942.

  75. (with G. Bhamathi, S. Indumathi, T. K. Radha, and R. Thunga) "Dispersion analysis of Ξ production in KN collisions" Nucl. Phys., 37 (1962), 585-593.

  76. (with T. K. Radha, K. Raman, and R. Thunga) "Quantum numbers and decay models of resonances" Rand Corp. Preprint, Los Angeles (1962)

  77. "An unconventional view of perturbation expansions", in Proc. Seminar on Unified Theories of Elem. Particles, Univ. Rochester, D. Lurie and N. Mukunda, Eds. (1963), 411-421.

  78. (with V. Devanathan and K. Venkatesan) "A note on the use of Wick's theorem", J. Math. Analysis and Appl., 8 (1964), 345-349.

  79. (with K. Raman and R. K. Umergee) "Isobar production in nucleon-nucleon scattering", Nuclear Phys., 60 (1964), 401-426.

  80. (with K. Raman and R. K. Umergee) "Isobar production in nucleon-nucleon scattering - II, Polarization effects", Nuclear Phys., 66 (1965), 609-631.

  81. (with S. K. Srinivasan and R. Vasudevan) "Some new mathematical features in cascade theory", J. Math. Analysis and Appl., 11 (1965), 278-289. (Presented at the Int'l Conf. on Cosmic Rays, 5 (1964), TIFR, Bombay, 458-501.)

  82. (with T. S. Shankara and K. Venkatesan) "Sensitivity of the vector coupling constant to mu-nuetrino mass and T-invariance", Il Nuovo Cimento, 37 (1965), 1046-1048.

  83. (with R. Vasudevan and S. K. Srinivasan) "Scattering phase shifts in stochastic fields", Z. fur Phys., 196 (1966), 112-122.

  84. "Fundamental multiplets" in Symp. in Theor. Phys. and Maths., Alladi Ramakrishnan Ed. 5 Plenum Press, NY (1967), 85-92.

  85. "New perspectives on the Dirac Hamiltonian and the Feynman propagator", in High energy physics and fundamental particles (1967), Gordon and Breach, New York, 665-672. (Presented at the Theoretical Physics Institute, University of Colorado, Boulder, 1967.)

  86. (with S. K. Srinivasan and R. Vasudevan) "Angular correlations in the brightness of the Milky Way", J. Math. Phys. Sci., 1 (1967), 75-84.

  87. "Some new topological features in Feynman graphs", J. Math. Analysis and Appl., 17 (1967), 68-91.

  88. "A new form of the Feynman propagator", J. Math. Phys. Sci, 1 (1967), 57-64.

  89. "L-matrix hierarchy and the higher dimensional Dirac Hamiltonian", J. Math. Phys. Sci, 1 (1967), 190-193.

  90. (with S. K. Srinivasan and R. Vasudevan) "Multiple product densities", J. Math. Phs. Sci. 1 (1967), 275-279.

  91. "Graphical representation of CPT", J. Math. Analysis and Appl., 17 (1967), 147-150.

  92. (with I. V. V. Raghavacharyulu) "A new combinatorial feature of Feynman graphs", J. Math. Analysis and Appl. 18 (1967), 175-181.

  93. "The Dirac Hamiltonian as a member of a hierarchy of matrices", J. Math. Analysis and Appl. 20 (1967), 9-16.

  94. "Helicity and energy as members of a hierarchy of eigenvalues", J. Math. Analysis and Appl., 20 (1967), 397-401.

  95. "Symmetry operations on a hierarchy of matrices", J. Math. Analysis and Appl., 21 (1968), 39-42.

  96. "On the relationship between L-matrix hierarchy and Cartan spinors", J. Math. Analysis and Appl., 22 (1968), 570-576.

  97. (with. P. S. Chandrasekharan, N. R. Ranganathan, and R. Vasudevan) "A generalization of the L-Matrix hierarchy", J. Math. Analysis and Appl., 23 (1968), 10-14.

  98. "L-Matrices, quaternions and propagators", J. Math. Analysis and Appl., 23 (1968), 250-253.

  99. (with I. V. V. Raghavacharyulu) "A note on the representation of Dirac groups", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed), 8 (1968), Plenum Press, NY, 25-32.

  100. "Should we revise our notions about spin and parity in relativistic quantum theory?" J. Math. Phys. Sci., 3 (1969), 213-219.

  101. (with P. S. Chandrasekharan and T. S. Santhanam) "On representations of generalised Clifford algebras", J. Math. Phys. Sci., 3 (1969), 301-313.

  102. "Symmetries associated with roots of the unit matrix", J. Math. Phys. Sci., 3 (1969), 317-318.

  103. "Generalized helicity matrices" J. Math. Analysis and Appl., 26 (1969), 88-91.

  104. (with P. S. Chandrasekharan, T. S. Santhanam, and A. Sundaram) "Helicity matrices for generalized Clifford algebra", J. Math. Analysis and Appl., 26 (1969), 275-278.

  105. (with P. S. Chandrasekharan, N. R. Ranganathan, T. S. Santhanam, and R. Vasudevan) "The generalized Clifford algebra and the unitary groups", J. Math. Analysis and Appl., 27 (1969), 164-170.

  106. (with P. S. Chandrasekharan, N. R. Ranganathan, T. S. Santhanam, and R. Vasudevan) "Idempotent matrices from a generalized Clifford algebra", J. Math. Analysis and Appl., 27 (1969), 563-564.

  107. (with P. S. Chandrasekharan, N. R. Ranganathan, and R. Vasudevan) "Kemmer algebra from generalized Clifford elements", J. Math. Analysis and Appl., 28 (1969), 108-110.

  108. "On the algebra of L-matrices", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.), 9 (1969), Plenum Press, NY, 73-78.

  109. "L-matrices and propagators with imaginary parameters", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.) 9 (1969), Plenum Press, NY, 79-84.

  110. (with R. Vasudevan) "A hierarchy of idempotent matrices", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.), 9 (1969), Plenum Press, NY, 85-88.

  111. (with P. S. Chandrasekharan and R. Vasudevan) "Representation of para-Fermi rings and generalized Clifford algebra", J. Math. Analysis and Appl. 31 (1970), 1-5.

  112. "On the composition of generalized helicity matrices", J. Math. Analysis and Appl., 31 (1970), 254-258.

  113. (with R. Vasudevan) "On generalized idempotent matrices", J. Math. Analysis and Appl., 32 (1970), 414-423.

  114. "New generalizations of Pauli matrices", in Proc. Int'l Conf. on Symmetries and Quark Models, Wayne State Univ. 1969, Gordon and Breach, NY (1970), 133-138.

  115. "Unitary generalization of Pauli matrices", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.), 10 (1970), Plenum Press, NY, 51-57.

  116. (with I. V. V. Raghavacharyulu) "Generalized Clifford basis and infinitesimal generators of the unitary group", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.), 10 (1970), Plenum Press, NY, 59-62.

  117. (with P. S. Chandrasekharan and T. S. Santhanam) "L-matrices and the fundamental theorem of spinor theory", in Symposia on Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.), 10 (1970), Plenum Press, NY, 63-68.

  118. "Stochastic theory of evolutionary processes (1937-71)" in Stochastic Point Processes, Proc. IBM Conf. on Point Processes, (J. Lewis Ed), Interscience, John Wiley (1971), 533-548.

  119. "A new approach to quantum numbers in elementary particle physics", in Proc. Rutherford Centennial Conf., Christchurch (1971), 150-156.

  120. (with P. S. Chandrasekharan and R. Vasudevan) "Algebras derived from polynomial conditions", J. Math. Analysis and Appl., 35 (1971), 131-134.

  121. (with P. S. Chandrasekharan and R. Vasudevan) "Para-Fermi operators and special unitary algebras", J. Math. Analysis and Appl., 35 (1971), 249-254.

  122. "The weak interaction Hamiltonian in L-Matrix theory", J. Math. Analysis and Appl., 37 (1972), 432-434.

  123. "On the shell structure of an L-Matrix", J. Math. Analysis and Appl., 38 (1972), 106-108.

  124. "A matrix decomposition theorem", J. Math. Analysis and Appl., 40 (1972), 36-38.

  125. "Einstein - a natural completion of Newton", J. Math. Analysis and Appl., 42 (1973), 377-380.

  126. "The generalized Gell-Mann - Nishijima relation", in Proc. Conf. on Nucl. Phys., MATSCIENCE Report 78, (1973) 1-4.

  127. (with R. Jaganathan) "A new approach to matrix theory or many facets of the matrix decomposition theorem", in Topics in Numerical Analysis, Proc. 1974 Int'l Conf. on Numerical Analysis, Dublin (J. H. Miller Ed.) 133 (1976), 133-139.

  128. "New concepts in matrix theory" J. Math. Analysis and Appl., 60 (1977), 255-258.

  129. "Unnoticed symmetries in Einstein's special relativity", J. Math. Analysis and Appl., 63 (1978), 335-338.

  130. "Lorentz to Gell-Mann - can the masters be retouched?" Proc. Tamil Nadu Acad. Sci. 1 (1978), 29-33.

  131. "A new concept in special relativity - exterior relative velocity", Proc. Tamil Nadu Acad. Sci. 1 (1978) 67-

  132. "A new look at matrix operations" in Proc. Oberwolfach Conf. on Math. Phys. Dec. 1977 (Methoden und Verfahren der Mathematischen Physik - B. Brosowski and E. Martenson, Eds.), Peter Lang Publ. (1978), 49-53.

  133. "New facets and new concepts in the special theory of relativity", in Proc. Oberwolfach Conf. on Math. Phys. Dec. 1977 (Methoden und Verfahren der Mathematischen Physik - B. Brosowski and E. Martenson, eds.), Peter Lang Publ. (1978), 55-61.

  134. "Approach to stationarity in stochastic processes", Proc. Tamil Nadu Acad. Sci. 2 (1979), 189-190.

  135. "On the generalization of the Gellmann-Nishijima relation", in Symmetries in Science (B. Gruber and R. S. Millman, Eds.), Plenum Publ. Corp. (1980), 323-325.

  136. "Mathematical features of evolutionary stochastic processes", Methods of Operations Research, 36 (1980), 239-240.

  137. "A new concept in probability theory", J. Math. Analysis and Appl., 83 (1981), 408-410.

  138. "Duality in stochastic processes", J. Math. Analysis and Appl., 84 (1981), 483-485.

  139. "Further unnoticed symmetries in special relativity", J. Math. Analysis and Appl., 94 (1983), 237-241.

  140. "Tantalizing asymmetries in special relativity", J. Math. Analysis and Appl., 110 (1985), 222-224.

  141. "Decomposition of intervals in special relativity", J. Math. Analysis and Appl., 110 (1985), 225-226.

  142. "A reflection principle", Phys. Education, 30 (1995), 204-205.

  143. "A remarkable unnoticed theorem in special relativity", J. Math. Analysis and Appl., 213 (1997), 155-159.

  144. "Theorem on non-simultaneity - extension to an external observer", J. Math. Analysis and Appl., 213 (1997), 354-356.

  145. "Cubic and general extensions of the Lorentz transformation", J. Math. Analysis and Appl., 229 (1999), 88-92.

  146. "A new Rod approach to the special theory of relativity", J. Math. Analysis and Appl., 249 (2000), 243-251. (Special Millennium issue dedicated to Richard Bellman)

Books/Monographs/Handbuch articles

  1. "Probability and stochastic processes", in Handbuch der Physik, 3 (1959) Springer Verlag, Berlin, 524-651.

  2. "Elementary particles and cosmic rays", Pergamon Press, Oxford (1962), 580 pp

  3. "L-Matrix theory or the grammar of Dirac matrices", Tata-McGraw Hill, Bombay-New Delhi (1972)

  4. "Special relativity", East West Books, Madras, India (2005)

Books edited

Symposia in Theor. Phys. and Math. (Alladi Ramakrishnan, Ed.) Vol I - Vol X, (1967-70), Plenum Press, New York.

The url of this page is http://krishnaswami-alladi.com/ar-pubs.html.
Created by K. Alladi (alladik@ufl.edu) on Saturday, January 23, 2010.
Last update made Sat Jan 23 21:46:13 EST 2010.

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