76 citations · 253 across the 31 of their papers we have counts for
34 papers
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…
Integration of Dirac's Efforts to construct Lorentz-covariant Quantum Mechanics
Young S. Kim, Marilyn E. Noz
The lifelong efforts of Paul A. M. Dirac were to construct localized quantum systems in the Lorentz covariant world. In 1927, he noted that the time-energy uncertainty should be in…
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…
Loop Representation of Wigner's Little Groups
Sibel Baskal, Young S. Kim, Marilyn E. Noz
Wigner's little groups are the subgroups of the Lorentz group whose transformations leave the momentum of a given particle invariant. They thus define the internal space-time symme…