19 citations · 166 across the 26 of their papers we have counts for
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Understanding Squeezed States of Light Through Wigner's Phase-Space
Sibel Baskal, Marilyn E. Noz
This paper starts with the transition from classical physics to quantum mechanics which was greatly aided by the concept of phase space. The role of canonical transformations in qu…
Einstein's E = mc^2 derivable from Heisenberg's Uncertainty Relations
Sibel Baskal, Young S. Kim, Marilyn E. Noz
Heisenberg's uncertainty relation can be written in terms of the step-up and step-down operators in the harmonic oscillator representation. It is noted that the single-variable Hei…
Poincaré Symmetry from Heisenberg's Uncertainty Relations
Sibel Baskal, Young S. Kim, Marilyn E. Noz
It is noted that the single-variable Heisenberg commutation relation contains the symmetry of the group which is isomorphic to the Lorentz group applicable to one time-like…
Photons in the Quantum World
Sibel Baskal, Young S. Kim, Marilyn E. Noz
Einstein's photo-electric effect allows us to regard electromagnetic waves as massless particles. Then, how is the photon helicity translated into the electric and magnetic fields…
Entangled Harmonic Oscillators and Space-time Entanglement
Sibel Baskal, Young S. Kim, Marilyn E. Noz
The mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It…
Symmetries of the Poincare sphere and decoherence matrices
S. Baskal, Y. S. Kim
The Stokes parameters form a Minkowskian four-vector under various optical transformations. As a consequence, the resulting two-by-two density matrix constitutes a representation o…
The language of Einstein spoken by optical instruments
Sibel Baskal, Y. S. Kim
Einstein had to learn the mathematics of Lorentz transformations in order to complete his covariant formulation of Maxwell's equations. The mathematics of Lorentz transformations,…
Lorentz Group in Ray Optics
S. Baskal, E. Georgieva, Y. S. Kim +1
It has been almost one hundred years since Einstein formulated his special theory of relativity in 1905. He showed that the basic space-time symmetry is dictated by the Lorentz gro…