Gegenbeispiele zur Interpolationstheorie der nuklearen und absolutsummierenden Operatoren

Ohne Zusammenfassung     

Heavy-ion friction force from a gas-kinetic model

A friction force is derived from the two-body collisions of projectile nucleons with target nucleons in the overlap region of their densities. We treat the diffuse surfaces of the heavy ions as Fermi gases. A certain average of the resulting friction force turns put to be identical in structure with the phenomenological Tsang-Swiatecki linear force. In our approach, the strength coefficient of the latter force can be calculated from the free two-nucleon scattering cross section without adjustable parameters. We obtain a strength which agrees well with the value found by Siwek-Wilczyńska and Wilczyński from an empirical fit.     

Is the madison convention really convenient at low energies?: The reaction 6Li(d)4He at 400 keV

It is shown that s-wave induced reactions with polarized particles can be described much more conveniently in new coordinates. Even with higher partial waves, cross sections can be fitted with less parameters than in conventional expansions.     

Applications of NMR spectroscopy of chiral association complexes. 6. rotation about the C(sp2)—C(aryl) bond in 2,6-disubstituted pivalophenones

For the investigation of the barrier to rotation about the C(sp²)—C(aryl) bond in non-planar pivalophenones five derivatives were prepared and their ¹H and ¹³C NMR spectra assigned. Methyl and bromine groups in the 3-position have opposite substituent effects on the chemical shifts of the ¹H and ¹³C signals of Me² and Me⁴. The ΔG values were determined from the coalescence temperatures of the signal splittings generated by the addition of optically active shift reagents. The accuracy of this method was estimated by using different signals of 3-bromo-2,4,6-trimethylpivalophenone and by computer simulation of the line shape. A buttressing effect of substituents in the aromatic ring was observed. A change of the twist angle by the substitution of methyl by bromine in the tert-butyl group was suggested in order to explain the changes in ΔG and the chemical shifts.     

Factorizing coupled quantum systems and damped nonlinear Schrödinger equations

We show that the wave function of a coupled quantum system may factorize for certain coupling operators, resulting in wave functions and effective nonlinear Hamiltonians for the subsystems. Systems of coupled harmonic oscillators with discrete or continuous spectra are considered, where all degrees of freedom move in time-dependent coherent Glauber states.We present the general formalism and study two examples in detail. The problem of radiation damping results under drastic assumptions in exponentially damped harmonic motion, obeying a nonlinear Schrödinger equation. In the second example, a different type of coupling is studied which yields inverse power law damping.     

New inflation in supersymmetric theories

A new inflationary universe scenario is considered based upon phase transitions in supersymmetric unified models where the Higgs potential is of the Witten-O'Raifeartaigh type.     

Studies on the Thorpe-Ziegler-reaction. A new synthesis of the pyridine part of thiamine]

Thorpe-Ziegler cyclization of N′-cyano-N-(2-cyanoethyl)-acetamidine ( 5a ) yields 4-amino-2-methyl-1,6-dihydro-5-pyrimidinecarbonitrile ( 8a ). The acetamidine 5a is accessible either from the N-cyanoimidate 1 and β-aminopropionitrile ( 3a ) or the N-cyanoamidine 2 and acrylonitrile ( 4 ). The dihydropyrimidine 8a is easily converted to 4-amino-2-methyl-5-pyrimidine-carbonitrile ( 13 ) by dehydrogenation or to 4-amino-5-aminomethyl-2-methylpyrimidine ( 15 ) by hydrogenation-dehydrogenation. Both products are important intermediates in the synthesis of thiamine.     

Synthesis of 4,5-benzotropones by cyclization of 1,3-bis-silyl enol ethers with 1,2-dialdehydes

The cyclization of 1,3-bis-silyl enol ethers or (2,4-dioxobutylidene)triphenylphosphoranes with phthalic dialdehyde allowed a convenient synthesis of a variety of 4,5-benzotropones. The hydrogenation of benzotropones afforded functionalized benzocycloheptanones which were transformed into tricyclic butenolides.