Conditions are established on a polynomial f in two variables under which the equality f(P1, P2) = 0 for two orthogonal projections P1, P2 is possible only if P1 and P2 commute.

Two small satellites of Pluto, S/2005 P1 (hereafter P1) and S/2005 P2 (hereafter P2), have recently been discovered outside the orbit of Charon, and their orbits are nearly circular and nearly coplanar with that of Charon. Because the mass ratio of Charon-Pluto is ∼ 0.1, the orbits of P2 and P1 are significantly non-Keplerian even if P2 and P1 have negligible masses. We present an analytic theo...

Bethe-Salpeter equation in the non-commutative space for a scalarscalar bound state in the ladder approximation with instantaneous interaction is considered. We show that spatial non-commutativity leads to the normal Zeeman effects on the spectra of two body bound state. e-mail: [email protected] e-mail: [email protected] Non-commutativity of space-time has been recently a subject of ...

The synthesis of a new yellow fluorescent 4-(2-methylamino)-ethyloxy-N-PAMAM-1,8-naphthalimide from zero generation has been described. The chemical structure of synthesized dendrimers was confirmed using FT-IR, 1HNMR and DSC techniques. The new materials are comprised of a 1,8-naphthalimide fluorophore having a substituent at C-4 position. The synthesized compounds (P2 and P3) were ...

Two small satellites of Pluto, S/2005 P1 (hereafter P1) and S/2005 P2 (hereafter P2), have recently been discovered outside the orbit of Charon, and their orbits are nearly circular and nearly coplanar with that of Charon. Because the mass ratio of Charon-Pluto is ∼ 0.1, the orbits of P2 and P1 are significantly non-Keplerian even if P2 and P1 have negligible masses. We present an analytic theo...