Fine-Structure Entanglement: Bipartite States of Flying Particles with Rest Mass Different from Zero

Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 67)

Abstract

In this chapter, we relax the condition that electrons inside the atomic target \(\mathfrak{T}\), or after leaving it, do not experience any SDIs. Hence, the spin-states of a photoelectron plus a photoion, or of two electrons, are now generated in the presence of both the C + SOIs. A proper description of the physical situation arising from the presence of both of these two important interactions demands [10, 60] that the required density matrices be now calculated in the j-j coupling scheme of angular momenta. This chapter, therefore, first presents a reformulation in j-j coupling of the density matrices for each of the processes of 1-SPI (1.1), 1-DPI (1.2), and 2-DPI (1.3), hitherto calculated in the L-S coupling in the respective Chaps. 4–6.

Keywords

Angular Momentum Density Matrix Auger Electron Total Angular Momentum Atomic Target 
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References

  1. 10.
    B.H. Bransden, C.J. Joachain, Physics of Atoms and Molecules, 2nd edn. (Benjamin Cummings, New York, 2003)Google Scholar
  2. 17.
    M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, 10 Anv. ed. (Cambridge University Press, Cambridge, England, 2011)Google Scholar
  3. 24.
    O. Gühne, G. Tóth, Phys. Rep. 474, 1 (2009)MathSciNetADSCrossRefGoogle Scholar
  4. 34.
    D. Bouwmeester, A.K. Ekert, A. Zeilinger (eds.), The Physics of quantum Information (Springer, Berlin, 2000)MATHGoogle Scholar
  5. 43.
    G. Alber, T. Berth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, A. Zeilinger (eds.), Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments (Springer, Berlin, 2001)MATHGoogle Scholar
  6. 60.
    M. Weissbluth, Atoms and Molecules (Academic, New York, 1978)Google Scholar
  7. 61.
    K. Blum, Density Matrix Theory and Applications, 3rd edn. (Springer, Berlin, 2012)MATHCrossRefGoogle Scholar
  8. 64.
    A. de-Shalit, I. Talmi, Nuclear Shell Theory (Dover, New York, 2004)Google Scholar
  9. 67.
    D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapur, 1988)Google Scholar
  10. 68.
    R.N. Zare, Angular Momentum (Wiley-Interscience, 1988)Google Scholar
  11. 99.
    J. Preskill, Quantum Information and Computation (Lecture Notes for ph219/cs219, California Institute of Technology, California, 2 November 2001), Chapter  4, pp.16
  12. 132.
    M. Horodecki, P. Horodecki, R. Horodecki, in Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, eds. G. Alber, T. Berth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, A. Zeilinger (Springer, Berlin, 2001)Google Scholar
  13. 188.
    N. Chandra, R. Ghosh, Phys. Rev. A 74, 052329 (2006)ADSCrossRefGoogle Scholar
  14. 190.
    N. Chandra, Phys. Rev. A 42, 4050 (1990)ADSCrossRefGoogle Scholar
  15. 220.
    S. Parida, N. Chandra, Phys. Rev. A 86, 062302 (2012)ADSCrossRefGoogle Scholar
  16. 252.
    N. Chandra, M. Chakraborty, J. Phys. B 35, 2219 (2002)ADSCrossRefGoogle Scholar
  17. 258.
    N. Chandra, Phys. Rev. A 56, 1879 (1997)ADSCrossRefGoogle Scholar
  18. 264.
    T. Radtke, S. Fritzsche, A. Surzhykov, Phys. Lett. A 347, 73 (2005)ADSCrossRefGoogle Scholar
  19. 265.
    T. Radtke, S. Fritzsche, A. Surzhykov, Phys. Rev. A 74, 032709 (2006)ADSCrossRefGoogle Scholar
  20. 266.
    N.A. Cherepkov, Adv. At. Mol. Phys. 19, 395 (1983)ADSCrossRefGoogle Scholar
  21. 267.
    V.V. Balashov, A.N. Grum-Grzhimailo, N.M. Kabachnik, Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course (Springer, Germany, 2010)Google Scholar
  22. 268.
    B. Kämmerling, V. Schmidt, Phys. Rev. Lett. 67, 1848 (1991)ADSCrossRefGoogle Scholar
  23. 269.
    B. Kämmerling V. Schmidt, J. Phys. B 26, 1141 (1993)ADSCrossRefGoogle Scholar
  24. 270.
    B. Kämmerling, V. Schmidt, J. Phys. B 25, 3621 (1992)ADSCrossRefGoogle Scholar
  25. 271.
    B. Schmidtke, M. Drescher, N.A Cherepkov, U. Heinzman, J. Phys. B 33, 2451 (2000)Google Scholar
  26. 272.
    W.R. Johnson, K.T. Cheng, Phys. Rev. Lett. 69, 1144 (1992)ADSCrossRefGoogle Scholar
  27. 273.
    W.R. Johnson, K.T. Cheng, Phys. Rev. A 20, 978 (1979)ADSCrossRefGoogle Scholar
  28. 274.
    W.R. Johnson, C.D. Lin, Phys. Rev. A 20, 964 (1979)ADSCrossRefGoogle Scholar
  29. 275.
    S. Wolfram, The Mathematica Book, 4th edn. (Cambridge University Press, Cambridge, 1999)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Physics and MeteorologyIndian Institute of TechnologyKharagpurIndia
  2. 2.c/o B.N. PandaPokhariputIndia

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