Advertisement

Optics and Spectroscopy

, Volume 108, Issue 2, pp 297–300 | Cite as

Possible Minkowskian language in two-level systems

Quantum Informatics. Quantum Information Processors
  • 33 Downloads

Abstract

One hundred years ago, in 1908, Hermann Minkowski completed his proof that Maxwell’s equations are covariant under Lorentz transformations. During this process, he introduced a four-dimensional space called the Minkowskian space. In 1949, P.A.M. Dirac showed the Minkowskian space can be handled with the light-cone coordinate system with squeeze transformations. While the squeeze is one of the fundamental mathematical operations in optical sciences, it could serve useful purposes in two-level systems. Some possibilities are considered in this report. It is shown possible to cross the light-cone boundary in optical and two-level systems while it is not possible in Einstein’s theory of relativity.

Keywords

Minkowskian Space Lorentz Transformation Maxwell System ABCD Matrix Optical Science 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Y. S. Kim and E. P. Wigner, J. Math. Phys. 31, 55 (1990).MATHCrossRefMathSciNetADSGoogle Scholar
  2. 2.
    P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949).MATHCrossRefMathSciNetADSGoogle Scholar
  3. 3.
    E. Georgieva and Y. S. Kim, Phys. Rev. E 64, 226602 (2001).CrossRefADSGoogle Scholar
  4. 4.
    S. Baskal and Y. S. Kim, Phys. Rev. E 66, 02604 (2002).CrossRefGoogle Scholar
  5. 5.
    S. Baskal and Y. S. Kim, Phys. Rev. E 67, 056601 (2003).CrossRefADSGoogle Scholar
  6. 6.
    E. Georgieva and Y. S. Kim, Phys. Rev. E 68, 026606 (2003).CrossRefADSGoogle Scholar
  7. 7.
    R. P. Feynman, F. L. Vernon, and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1959).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of MarylandMarylandUSA

Personalised recommendations