The possible symmetries of the superconducting pair amplitude is a consequence fermionic nature Cooper pairs. For spin-$1/2$ systems this leads to $\mathcal{SPOT}=-1$ classification superconductivity, where $\mathcal{S}$, $\mathcal{P}$, $\mathcal{O}$, and $\mathcal{T}$ refer exchange operators for spin, parity, orbital, time between paired electrons. However, no longer holds higher spin fermion...

We provide a detailed, model-independent, study for CP violation effects due to the T -odd top-quark electric dipole moment (EDM) and weak dipole moment (WDM) in the top-quark pair production via e+e− and two-photon annihilation at a next e+e− linear collider (NLC). There are two methods in detecting CP violation effects in these processes. One method makes use of measurements of various spin c...

Abstract An odd wheel graph is a formed by connecting new vertex to all vertices of an cycle. We answer question Rosenfeld and Le showing that wheels cannot be drawn in the plane so lengths edges are integers.

We define and study odd analogues of classical geometric combinatorial objects associated to permutations, namely Schubert varieties, diagrams, inversion sets. show that there is a bijection between sets permutations acyclic orientations the Turán graph, dimension variety permutation length permutation, give several necessary conditions for subset [n]×[n] be diagram permutation. also sign-twist...