Bander, M

An iterative scheme is presented for solving the N/D equations in the case where the left-hand cut consists entirely as a sum of poles. At no step is recourse to a matrix inversion of an algebraic system required. A scheme for approximating arbitrary cuts by sequences of poles is also presented.

Bander, M Shaw, GL

Two important problems involved in obtaining solutions of partial wave dispersion relations (by the N D method) are having (i) the correct threshold behavior, and (ii) an acceptable high energy behavior. Various physical and numerical approximations have been made to insure (i) and (ii). We numerically investigate the sensitivity of the solutions o...

Bander, M Coulter, PW Shaw, GL

Bander, M Itzykson, C

The internal 0(4) symmetry group of the nonrelativistic hydrogen atom is discussed and used to relate the various approaches to the bound-state problems. A more general group 0(1,4) of transformations is shown to connect the various levels, which appear as basis vectors for a continuous set of unitary representations of this noncompact group. © 196...

Taagepera, R Williams, F

Photoelectroluminescence, which involves the control of electroluminescence by electromagnetic radiation, is reported for single crystals of manganese-activated zinc sulfide. Both plane-parallel and point-contact electrode structures were used. The latter resulted in greater homogeneity of luminescent emission with the applied voltage mainly across...

Bander, M Itzykson, C

A previous work dealing with bound states in a Coulomb potential is extended to the case of scattering states. The symmetry of the problem under the Lorentz group 0(1,3) is used to construct wave functions. Harmonic analysis on two-sheeted hyperboloids is briefly discussed in arbitrary dimension. The set of scattering states for both an attractive ...

Benford, G

It is shown that relaxation of electron spins by thermally excited helicons competes with the phonon process at low temperatures in the lighter metals. © 1968.

Drell, SD Silverman, Dennis J

The nucleon isovector Pauli radius R2V2 is calculated, using sidewise dispersion relations, to be significantly larger than the predictions of dominance, in accord with observation. It is also predicted that R2V2 is significantly larger than the pion charge radius R2. Elastic scattering of pions from electrons at very high energies (viz. Serpukhov)...

Panofsky, WKH Bander, M

The phenomenon of radial beam break-up observed in terms of long, multi-section electron linear accelerators has been analyzed using a multi-cavity model. In this model the source of regeneration due to backward wave amplification is ignored. The dominant phenomenon involves build-up of radial modes in each cavity as coupled by the electron beam. T...

Fisk, Z

Magnetic susceptibility data suggest that the crystal field splittings of the 4f levels of Ce and Pr impurities are larger in metallic YB6 than in isostructural and semiconducting SrB6, contrary to what might be expected. © 1969.