2 citations · 4 across the 4 of their papers we have counts for
4 papers
Diagonalization of Sp(2) matrices
S. Baskal, Elena Georgieva, Y. S. Kim
The two-by-two Sp(2) matrix has three parameters with unit determinant. Yet, there are no established procedures for diagonalizing this matrix. It is shown that this matrix can be…
Lorentz Group applicable to Finite Crystals
Sibel Baskal, Elena Georgieva, Y. S. Kim
The two-by-two scattering matrix for one-dimensional scattering processes is a three-parameter Sp(2) matrix or its unitary equivalent. For one-dimensional crystals, it would be rep…
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…
Wigner's new physics frontier: Physics of two-by-two matrices, including the Lorentz group and optical instruments
Sibel Baskal, Elena Georgieva, Y. S. Kim
According to Eugene Wigner, quantum mechanics is a physics of Fourier transformations, and special relativity is a physics of Lorentz transformations. Since two-by-two matrices wit…