The usual definition of the prior(post) interaction V (V ′) between projectile and target (resp. ejectile and residual target) being contradictory with full antisymmetrization between nucleons, an explicit antisymmetrization projector A must be included in the definition of the transition operator, T ≡ V ′ A + V ′ AGV. We derive the suitably antisym-metrized mean field equations leading to a no...

(4) Let K be a field and M1, M2, M3 be matrices over K. Suppose lenM1 = lenM2 and lenM2 = lenM3 and widthM1 = widthM2 and widthM2 = widthM3 and lenM1 > 0 and M1 + M3 = M2 +M3. Then M1 = M2. (5) For every field K and for all matrices M1, M2 over K such that lenM2 > 0 holds M1 − −M2 = M1 +M2. (6) For every field K and for all matrices M1, M2 over K such that lenM1 = lenM2 and widthM1 = widthM2 an...

any 3d seismic survey can have an acquisition footprint. acquisition footprint is an expression of the surface geometry (most common on land data) that leaves an imprint on the stack of 3d seismic data. often we recognize it as amplitude and phase variations on time slices, which of course display the amplitudes within our data set at a specified two way time (cordsen, 2004). on the other hand,...

Abstract The ergodic hypothesis asserts that a classical mechanical system will in time visit every available configuration in phase space. Thus, for an ergodic system, an ensemble average of a thermodynamic quantity can equally well be calculated by a time average over a sufficiently long period of dynamical evolution. In this paper, we describe in detail how to calculate the temperature and c...

The TTF Free Electron Laser needs very short bunches to produce self-amplified spontaneous emission (SASE). This short bunch length is produced in a magnetic bunch compressor where the trajectories of particles with different energy have different path length in a way that the bunch is longitudinally compressed. As a parasitic effect the wake fields produced by the passing bunch will have the p...

In distribution points of high power net large current can flow. Magnetic field generated by these currents produces big forces between conductors that lead to other unwanted effects. The realistic simulation of magnetic field can lead to better understanding of these effects. Therefore we need both the universal mean and simple method for such simulation. MATLAB languageis the best choice beca...

The authors propose a full three-dimensional (3D) calculation model based on a multipole technique able to predict the magnetic field pollution outside of indoor medium voltage/low voltage (MV/LV) transformer substations. The authors demonstrate that the proposed model may be advantageously used in all problems related to the characterization of the electromagnetic environment around a MV/LV tr...

Using a unique trial function we perform an accurate calculation of the ground state 1σg of the hydrogenic molecular ion H + 2 in a constant uniform magnetic field ranging 0 − 10 G. We show that this trial function also makes it possible to study the negative parity ground state 1σu. PACS numbers: 31.10.+ z, 32.60.+ i, 97.10.Ld, 31.15.Ar, 97.60.Jd E-mail: [email protected] E-mail: ...

The small dimensions of the on-chip interconnect structures provide the interesting opportunity of using the optimized model of dominant magnetic field even at very high operating frequencies for inductance and resistance extraction. The parameters are obtained from the field energy calculated from the magnetic field distribution in the simulation domain. Vector and scalar shape functions are u...

In this paper we present a new highly efficient calculation method for the far field amplitude pattern that arises from scattering problems governed by the d-dimensional Helmholtz equation and, by extension, Schrödinger’s equation. The new technique is based upon a reformulation of the classical real-valued Green’s function integral for the far field amplitude to an equivalent integral over a c...