Professor Fosong Wang on his 80th birthday: A great scientist and a great ambassador

It is a great pleasure for international colleagues in polymer science to celebrate Professor Fosong Wang on his 80th birthday. Professor Fosong Wang, a member of the Chinese Academy of Sciences, is a great polymer scientist, with over 300 publications and a few books. He is internationally recognized in his work on stereoregular polymers and electronically active polymers, particularly the development of     

Low energy asymptotics for Schrödinger operators with slowly decreasing potentials

Low energy behavior of Schrödinger operators with potentials which decay slowly at infinity is studied. It is shown that if the potential is positive then the zero energy is very regular and the resolvent is smooth near 0. This implies rapid local decay for the solutions of the Schrödinger equation. On the other hand, if the potential is negative then the resolvent has discontinuity at zero energy. Thus one cannot expect local decay faster than ordert ^–1 ast.     

Photon-echo profile in the ultrashort time region for pentacene molecules in crystals

Photon-echo behavior in the ultrashort time region is studied for pentacene molecules in p-terphenyl crystals at 1.7 K by means of the accumulated three-pulse echo. We show highly resolved echo spectra with a parameter of time separation and also time behavior of echo intensity as a function of pulse separation measured at various frequencies near the peak position of the absorption line of the S₀–S₁ transition. We demonstrate various features of echo profile in both time and frequency domains, which are dependent on the time region of observation.     

An elementary construction of tilting complexes

Let A be an artin algebra and e∈A an idempotent with add(eA_A)=add(D(_AAe)). Then a projective resolution of Ae_eAe gives rise to tilting complexes for A, where P(l)^• is of term length l+1. In particular, if A is self-injective, then is self-injective and has the same Nakayama permutation as A. In case A is a finite dimensional algebra over a field and eAe is a Nakayama algebra, a projective resolution of eAe over the enveloping algebra of eAe gives rise to two-sided tilting complexes {T(2l)^•}_l?1 for A, where T(2l)^• is of term length 2l+1. In particular, if eAe is of Loewy length two, then we get tilting complexes {T(l)^•}_l?1 for A, where T(l)^• is of term length l+1.     

Electron swarm parameters in SiH4-rare gas mixtures andcollision cross sections for monosilane molecules

Previously measured drift velocities and longitudinal diffusion coefficients in SiH₄-Ar mixtures were reanalyzed, and the new vibrational excitation cross sections for monosilane molecules were obtained. Not only were the new cross sections consistent with swarm parameters, but also the ratio of their magnitudes at the resonance peak agreed with earlier measurements of the electron beam experiment. Having known the vibrational excitation cross sections, the analysis of the primary ionization coefficient measured in SiH₄-Kr mixtures led to a consistent inelastic cross section, which possibly corresponds to the total section for neutral dissociations for the molecule. It was confirmed that the derived set of the cross sections also gave good agreement with the electron swarm parameters measured in pure monosilane gas