Phase in Optics

About Classical to Quantum Weyl Correspondence

“…We discuss this in present paper but the more technical details of this calculation we shift to the Appendices. We connect the results with other A by integration of the Wigner quasiprobability over the radius that for this last case was first made by Garraway and Knight [14] (see also [12]). One has to liberate oneself in these cases from the general density operator ρ in the Wigner quasiprobability ( ) * , W α α in complex representation and obtain then in last case the quantum equivalents …”

“…In the Susskind-Glogower formalism [12] [27] [28], for comparison, we have for the analogous operators E − and…”

“…Problems of the determination of a phase operator in quantum optics are discussed and referred in detail by Peřinová, Lukš and Peřina [12]. was communicated in [13] with some promise to give its detailed derivation in another paper.…”

Large Tunnel Magnetoresistance of Full-Heusler CoFeAlSi Alloy Granular Films

“…The definitions (4.1) for s = S, A and the definition (4.5) can be expressed in similar forms [7], in terms of the matrix elements (3.18). Particularly, the property (3.20) can be used and variant distributions of the phase difference become…”

“…We add also the entropic measures of entanglement. We will thoroughly investigate the relationship between the variance of the photon-number sum and the photon-number difference and the correlation as well as the relationships between the correlation and the dispersions of the phase difference related to various definitions of quantum phase [6,7] or to the direct definition of the quantum phase difference [8]. To illustrate the details which cannot be expressed through variances and dispersions, we will study the distributions of the photon number and the variant distributions of the phase difference.…”