Proof of the ionization conjecture in a reduced Hartree-Fock model

Summary The ionization conjecture for atomic models states that the ionization energy and maximal excess charge are bounded by constants independent of the nuclear charge. We prove this for the Hartree-Fock model without the exchange term.Oblatum 3-V-1990Work supported in part by the U.S. National Science Foundation grant DMS-9002416     

Anomalous change in the photoacoustic phase near superconducting transition in YBa2Cu3O7

Photoacoustic amplitude and phase measurements have been carried out near the superconducting transition temperature in the highT _csuperconductor YBa₂Cu₃O₇. In both the samples investigated, the photoacoustic phase undergoes an anomalous step-like decrease aroundT _c≈ 96 K and increases at lower temperatures. A clear temperature hysteresis for the phase change has been noticed. No anomalous variation has been observed in the amplitude values. Neither phase nor amplitude shows any anomaly in a non-superconducting sample of the same composition.     

Evolution of a quasi-neutral shock wave in inhomogeneous semiconductors

It is shown that in a current carrying extrinsic semiconductor, a quasi-neutral wave of carrier concentrations evolves into a shock wave(s). Inhomogeneous distribution of impurities causes either amplification (an absolute instability) or depression of these waves.     

Pyridazines. XLI synthesis of novel pyrido[3,4-d]pyridazine derivatives from 4,5-disubstituted pyridazines

Pyrido[3,4-d]pyridazines 2–5, 21 bearing one, two, or three aryl substituents in the pyridine moiety are shown to be conveniently accessible from 4-aroyl-5-methylpyridazines or 4,5-diaroylpyridazines, respectively, by condensation reactions with appropriate C-N fragments. In addition, the novel pyridazine-annelated pyridones 24, 25 were found to be easily available from ethyl 5-methyl-4-pyridazinecarboxylate.     

Path integrals for the continuous spontaneous localization theory

Path integral expressions are given for the wave function and for the density matrix in a theory which describes state vector reduction. The magnitude of the contribution of each classical path to the propagator is not unity, as in ordinary quantum theory, but depends upon the path.     

A valence-bond diatomics-in-molecules model for the formation of Na+ and Na2+ ions from the interaction of excited sodium atoms with a tungsten surface

Potential energy surfaces for Na(²S, ²P) interacting with a partially covered tungsten surface are computed within the framework of the method of diatomics-in-molecules (DIM). Only two sodium atoms are considered explicitly but the effect of all of the adsorbed sodium is taken into account through its influence on the fragment matrix elements in the DIM formulation. Na₂⁺ wavefunctions are approximated by valence-bond calculations for the ²Σ_g⁺ and ²Σ_u⁺ manifolds. The three lowest potential energy surfaces of the polyatomic system suggest plausible pathways for the production of Na⁺ and Na₂⁺ ions from the interaction of Na(²P) atoms with the metal surface as observed by Auschwitz and Lacmann.