Femtosecond laser is becoming a powerful tool to manipulate the behaviors of molecules. When molecules are irradiated by strong laser field with intensity below the ionization threshold of molecules, the interaction between molecules and the laser electric field tends to align the molecules with the most polarizable axis along the laser polarization vector. If the laser pulse duration is larger...

We solve the eigenvalue spectra for two quasi exactly solvable (QES) Schrödinger problems defined by potentials V(x;?,?)=4?2cosh4(x)+V1(?,?)cosh2(x)+???1tanh2(x) and U(x;?,?)=?4?2cos4(x)?V1(?,?)cos2(x)+???1tan2(x), found anti-isospectral transformation of former. use three methods: a direct polynomial expansion, which shows relation between expansion order shape potential function; comparison t...

In this article, we investigate the $\cos2\phi_t$ azimuthal asymmetry in $e ~p\rightarrow e ~J/\psi ~Jet~ X$, where $J/\psi$-jet pair is almost back-to-back transverse plane, within framework of generalized parton model(GPM). We use non-relativistic QCD(NRQCD) to calculate $J/\psi$ production amplitude and incorporate both color singlet(CS) octet(CO) contributions asymmetry. estimate using diff...

One of the key ideas in describing the multiparticle production at high energies in the perturbative QCD is the angular ordering in successive soft-gluon emission. We analyse the angular distribution of particles in a jet, and investigate the corrections to the angular ordering. At a small angle from the jet direction, the angular ordering is exact at the next-to-leading order. At a large angle...

In the emerging field of spin-electronics ideal ferromagnetic electron sources would not only possess a high degree of spin polarization, but would also offer control over the magnitude of this polarization. We demonstrate here that a simple scheme can be utilized to control both the magnitude and the sign of the spin polarization of ferromagnetic CoS2, which we probe with a variety of techniqu...

Proof. In view of [Dou98, Proposition 3.11], it suffices to check that the supremum norm invalidates the parallelogram law. To this end, let us choose a very specific function f (x) = cos2(2πx) and g(x) = sin2(2πx). Then we have f (x) + g(x) = 1 and f (x) − g(x) = cos(4πx), hence ‖ f + g‖ = ‖ f − g‖ = 1. On the other hand, we have ‖ f ‖ = ‖g‖ = 1. Consequently ‖ f + g‖ + ‖ f − g‖ = 2 , 4 = 2‖ f...

für die resultierende mittlere Geschwindigkeit eines Teilchens nach einem Stoß: t>red = v c p . Aus den Gesetzen des elastischen Stoßes für Kugeln der Massen m0, mx ergibt sich für die Geschwindigkeit von 77i0 nach dem Stoß mit ß = ( (m x m0 ) / (m, + m 0 ) ) 2, e=(l/ß-l) (d/R0)2 : v=v0(ßey*(( 1 + 1/fi) — cos2 ft)1'*; (A.6) cos #m i n = (1 (R0/d)2 (ß (vmJv 0)2)/ (ß-1) cos # m a x = (1 (R0/d)2)1...

Supersonic beams of polar molecules are deflected using inhomogeneous electric fields. The quantum-state selectivity of the deflection is used to spatially separate molecules according to their quantum state. A detailed analysis of the deflection and the obtained quantum-state selection is presented. The rotational temperatures of the molecular beams are determined from the spatial beam profile...