The contrast definitions of opposite colors red-green and blue-yellow, which have been described in the CIELAB and YC r C b color spaces, respectively, and a method to accurately control chroma and color differences on a cathode ray tube screen are presented according to the color display characteristics of cathode ray tubes. Using target gratings on a cathode ray tube screen, measurements of human vision contrast sensitivity to red-green and blue-yellow colors for 10 spatial frequencies (0.41, 0.82, 1.23, 1.97, 3.08, 3.79, 4.93, 7.04, 9.86 and 16.43 cpd) were carried out in 11 young observers in a dark environment. Contrast sensitivity functions of opposite colors were obtained, which can be used for practical applications in image technologies.
This work provides an accurate study of the spin-l/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity.
We study the Klein-Gordon oscillators in non-commutative （NC） phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
