Optics and Spectroscopy

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

Possible Minkowskian language in two-level systems

  • Y. S. Kim
Quantum Informatics. Quantum Information Processors


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.


Minkowskian Space Lorentz Transformation Maxwell System ABCD Matrix Optical Science 
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© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of MarylandMarylandUSA

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