A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive (scattering) and negative (sub-threshold) solutions can be found to predict both the compound nucleus sub-threshold spectrum and all resonances due to coupled-chan...

The Evans wave equation [1] of general relativity is expressed in spinor form, thus producing the Dirac equation in general relativity. The Dirac equation in special relativity is recovered in the limit of Euclidean or flat spacetime. By deriving the Dirac equation from the Evans equation it is demonstrated that the former originates in a novel metric compatibility condition, a geometrical cons...

X iv :q ua nt -p h/ 99 06 04 6v 1 1 4 Ju n 19 99 Derivation of the Pauli exchange principle A. A. Broyles Department of Physics, Institute for Fundamental Theory University of Florida, Gainesville, Fl 32611 When the time-independent wave function of a multicomponent system is computed, it is necessary to require that it be consistent with the Pauli exchange principle which states that, for syst...

The main formalisms of partial level densities (PLD) used in preequilibrium nuclear reaction models, based on the equidistant spacing model (ESM), are considered. A collection of FORTRAN77 functions for PLD calculation by using 14 formalisms for the related partial-state densities is provided and 28 sample cases (73 versions) are described. The results are given in graphic form too. Composite (...

FeS and NiS show first order phase transitions with a change in electronic structure at Ta = 415 K and Tt = 265 K respectively, the latter depending sensitively on non-stoichiometry in the form of nickel vacancies. Extensive experimental data on NiS is reviewed which shows that the low-temperature phase is a semimetallic itinerant-electron antiferromagnet and the high temperature phase a weakly...

We present the result of a fragment-based energy decomposition analysis on some molecule-surface interactions. The analysis allows us to quantify the Pauli repulsion, its relief, and the attractive orbital interaction energy. In a metal, the existence of incompletely occupied energy bands causes significant relief of the Pauli repulsion due to escape of antibonding electrons to unoccupied state...

A unified treatment of the Pauli algebraic forms of the linear operators defined on a unitary linear space of two dimensions over the field of complex numbers C(1) is given. The Pauli expansions of the normal and nonnormal operators, unitary and Hermitian operators, orthogonal projectors, and symmetries are deduced in this frame. A geometrical interpretation of these Pauli algebraical results i...