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Characterization of the Density Matrix in Terms of Statistical Tensor Parameters

Author Affiliations

  • 1 Iranian Academic Center for Education Culture and Research, IRAN

Res. J. Physical Sci., Volume 2, Issue (6), Pages 1-4, October,4 (2014)

Abstract

It was shown in literatures that every density matrix for a spin-j system can be defined in terms of the Fano statistical tensor parameters. On the other hand, this spherical tensor parameters can be uniquely determined by units vectors. In this study, we construct the density matrix for the most general spin-1 system in terms of unit vectors. We also give some cases to show symmetric properties of spherical tensor parameters.

References

  1. Von Neumann, J. Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik. Konigliche Gesellschaft der Wissenschaftenzu Gottingen. Mathematisch-physikalische Klasse. Nachrichten, 245-272
  2. Landau L., The damping problem in wave mechanics Z., Phys.,45 430 (1927)
  3. Dirac P.A.M., The basis of statistical quantum physics, Proc. Cambridge Phil. Soc., 25, 62 (1929)
  4. Blin-Stoyle R.J. and Grace M.A., Handbuch der Physik 62 ed S Flugge (Berlin: Springer), 555 (1957)
  5. FanoU.,National Bureau of Standards Report 1214,(1951)
  6. Fano U., Geometrical Characterization of Nuclear States and the Theory of Angular Correlations, Phys. Rev.,90, 577579, (1953)
  7. Fano U., Description of States in Quantum Mechanics by Density Matrix and Operator Techniques, Rev. Mod. Phys., 29, 7493 (1957)
  8. Fano U., Pairs of two-level systems Rev. Mod. Phys., 55, 855874 (1983)
  9. Rose M.E., Elementary Theory of Angular Momentum, John Wiley, New York., (1957)
  10. Satchler et al. Proceedings of the International Conference on Polarization Phenomenain Nuclear Reactions, University of Wisconsin Press, Madison, (1971)
  11. Ramachandran G. and Ravishankar V., On polarised spin-j assemblie, J. Phys. G: Nucl. Phys., 12 (1986)