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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…
Harmonic Oscillators as Bridges between Theories: Einstein, Dirac, and Feynman
Y. S. Kim, Marilyn E. Noz
Other than scattering problems where perturbation theory is applicable, there are basically two ways to solve problems in physics. One is to reduce the problem to harmonic oscillat…
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…
Is the concept of quantum probability consistent with Lorentz covariance?
Y. S. Kim, Marilyn E. Noz
Lorentz-covariant harmonic oscillator wave functions are constructed from the Lorentz-invariant oscillator differential equation of Feynman, Kislinger, and Ravndal for a two-body b…
Further Contents of Einstein's E = mc^{2}
Y. S. Kim
The energy-mass content of Einstein's E = mc^{2} is well known. For a fixed value of mass, E = mc^{2} is an energy-momentum relation which takes the form E = \sqrt{m^{2} + p^{2}}.…
O(3,3)-like Symmetries of Coupled Harmonic Oscillators
D. Han, Y. S. Kim, Marilyn E. Noz
In classical mechanics, the system of two coupled harmonic oscillators is shown to possess the symmetry of the Lorentz group O(3,3) applicable to a six-dimensional space consisting…