10 citations · 10 across the 2 of their papers we have counts for
8 papers
Complex Form of Classical and Quantum Electrodynamics
Sergey I. Kryuchkov, Nathan A. Lanfear, Sergei K. Suslov
We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, d…
The Role of the Pauli-Lubanski Vector for the Dirac, Weyl, Proca, Maxwell, and Fierz-Pauli Equations
Sergey I. Kryuchkov, Nathan A. Lanfear, Sergei K. Suslov
We analyze basic relativistic wave equations for the classical fields, such as Dirac's equation, Weyl's two-component equation for massless neutrinos, and the Proca, Maxwell, and F…
The Pauli-Lubanski Vector, Complex Electrodynamics, and Photon Helicity
Sergey I. Kryuchkov, Nathan A. Lanfear, Sergei K. Suslov
We critically analyze the concept of photon helicity and its connection with the Pauli-Lubanski vector from the viewpoint of the complex electromagnetic field, F=E+iH, sometimes at…
Time-Dependent Photon Statistics in Variable Media
Sergey I. Kryuchkov, Erwin Suazo, Sergei K. Suslov
We find explicit solutions of the Heisenberg equations of motion for a quadratic Hamiltonian, describing a generic model of variable media, in the case of multi-parameter squeezed…
Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances
P. B. Acosta-Humanez, S. I. Kryuchkov, E. Suazo +1
In the Schroedinger picture, we find explicit solutions for two models of degenerate parametric oscillators in the case of multiparameter squeezed input photons. The corresponding…
The Four Color Theorem and Trees
Sergey I. Kryuchkov
Connection of the Four Color Theorem (FCT) with some operations on trees is described. L.H. Kauffman's theorem about FCT and vector cross product is discussed. Operation of transpl…