N. V. V. J. Swamy

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Nyayapathi Venkata Vaikuntha Jagannatha Swamy was a mathematical physicist. He is well known for his contributions to the physics of relativistic harmonic oscillator[1][2][3] which found wide applications in Atomic, Nuclear and High Energy Physics. Some of the citations to Swamy's work on the relativistic oscillator are given in references.[4][5][6][7][8][9][10][11][12][13][14][15][16][17] A review of the history and the generalized treatment of the relativistic harmonic oscillator is given by Lisboa et al..

He is also well known for his group theoretical contributions to mathematical physics. His widely used textbook co-authored with Mark A. Samuel, "Group Theory Made Easy for Scientists and Engineers" (Wiley-Interscience 1979), was very popular.

L.C. Bidenharn and Swamy published very influential papers on the relativistic Kepler problem.[18][19][20] They introduced a symmetric Hamiltonian and solved the Dirac Equation for the Hydrogen atom. The history of this effort is given in Harold V. McIntosh's website.

Swamy received a BS degree in Mathematics, a BS and MS degree in Physics all from Bombay University, and a PhD degree in Physics from Florida State University. He had lectured at many universities, and was a guest scientist in Julich, Germany and Cambridge University in UK. He had served as a professor of physics at Oklahoma State University until his retirement.

Since his retirement in mid eighties, he used his own funds to visit India and teach at various academic institutions [1].

Dr Swamy died in his hometown of Visakhapatnam in India on 13 June 2013 [2].


  • Nyayapathi V.V.J. Swamy and Mark A. Samuel, Group Theory Made Easy for Scientists and Engineers, Wiley-Interscience, 1979, ISBN 0-471-05128-4


  1. ^ N.V.V.J. Swamy, Exact solution of the Dirac equation with an equivalent oscillator potential, Phys. Rev. 180, pp:1225-1226 (1969); Erratum: Phys. Rev. D 1, 1244 (1970)
  2. ^ N.V.V.J. Swamy and E.F. Chaffin, A relativistic equivalent oscillator in cylindrical co-ordinates, Nuovo Cimento B, Vol.25, pp:28-34 (1975)
  3. ^ C.T. Markes and N.V.V.J. Swamy, Relativistic model of a charged oscillator in a magnetic field and its application, Nuovo Cimento B, Vol.69, pp:177-184 (1982)
  4. ^ D.A. Kulikov, R.S. Tutik, A.P. Yarostidy upefshenko, An alternative model for the Duffin-Kemmer-Petiau oscillator, Mod. Phys. Lett.A20, pp:43-49 (2005)
  5. ^ Qiong-Gui Lin, Exact solutions for neutral particles in the field of a circularly polarized plane electromagnetic wave, Physics Letters A, Vol:342, Issues 1-2, pp:67-76 (2005)
  6. ^ R.Lisboa, et al., Pseudospin symmetry and the relativistic harmonic oscillator, Phys. Rev. C 69 (2004)
  7. ^ P.M.Bergstrom,Jr., L.Kissel, R.H.Pratt, Production or annihilation of positrons with bound electrons, Phys. Rev. A Vol:53, pp:2865-2868 (1996)
  8. ^ Mark A. Samuel, John Ellis, Marek Karliner, Comparison of the Pade approximation method to perturbative QCD calculations, Phys. Rev. Lett. Vol:74, pp:4380-4383 (1995)
  9. ^ Mark A. Samuel, G. Li, E. Steinfelds, Estimating perturbative coefficients in quantum field theory and statistical physics, Phys. Rev. E 51, pp:3911-3933 (1995)
  10. ^ S.M. Seltzer, Calculation of photon mass energy-transfer and mass-absorption coefficients, Radiation Research, Vol:136, No:2, pp:147-170 (1993)
  11. ^ O.Castanos, A.Frank, R.Lopez, L.F.Urrutia, Soluble extensions of the Dirac oscillator with exact and broken supersymmetry, Phys. Rev. D Vol:43, pp:544-547 (1991)
  12. ^ J.C.Palathingal, et al., Single-quantum annihilation of positrons with shell-bound atomic electrons, Phys. Rev. Lett. Vol:67, pp:3491-3494 (1991)
  13. ^ R.L. Intemann, Double K-Shell ionization in electron capture decay, Phys. Rev. C Vol:31, pp:1961-1964 (1985)
  14. ^ C.V. Sheth, Momentum representation of Dirac relativistic wave functions, Phys. Rev. A Vol:30, pp:1537-1539 (1984)
  15. ^ W. Bambynek, et al., Orbital electron capture by the nucleus, Rev. Mod. Phys. Vol:49, pp:77-221 (1977)
  16. ^ K. Frankowski and C.L. Pekeris, Logarithmic terms in the wave functions of the ground state of two-electron atoms, Phys. Rev. Vol:146, pp:46-49 (1966)
  17. ^ R.L. Intemann, Relativistic corrections in the theory of K-Electron ejection during K capture, Phys. Rev. Vol:178, pp:1543-1550 (1969)
  18. ^ L.C. Biedenharn and N.V.V.J. Swamy, Remarks on the relativistic Kepler problem, Phys. Rev. 126, pp:845-851 (1962)
  19. ^ L.C. Biedenharn and N.V.V.J. Swamy, Remarks on the relativistic Kepler problem II, Approximate Dirac-Coulomb Hamiltonian processing two vector invariants, Phys. Rev. 133, pp:1353-1360 (1964)
  20. ^ L.C. Biedenharn and N.V.V.J. Swamy, Remarks on the relativistic Kepler problem II, Approximate Dirac-Coulomb Hamiltonian processing two vector invariants, Phys. Rev. 133, pp:1353-1360 (1964)