Über Automorphismengruppen lokal-kompakter Gruppen und Derivationen von Lie-Gruppen

Ohne ZusammenfassungResearch partially supported by NSF grants GP-8496, GP-6946, and GP-9444, resp. The first-named author also received support from Research Funds of the Graduate School of the University of Minnesota.     

Collision photography: polarization imaging of atom-molecule collisions

We report differential scattering experiments on the laser excitation of Na + M collision pairs with M = N(2), CO, C(2)H(2), and CO(2). The collision event is probed by the laser polarization revealing geometric and electronic properties of the collision pair. The experimental data are compared to the results of a Monte Carlo trajectory simulation using ab initio quantum chemical data.     

Transform-Limited Pulses Are Not Optimal for Resonant Multiphoton Transitions

Maximizing nonlinear light-matter interactions is a primary motive for compressing laser pulses to achieve ultrashort transform limited pulses. Here we show how, by appropriately shaping the pulses, resonant multiphoton transitions can be enhanced significantly beyond the level achieved by maximizing the pulse's peak intensity. We demonstrate the counterintuitive nature of this effect with an experiment in a resonant two-photon absorption, in which, by selectively removing certain spectral bands, the peak intensity of the pulse is reduced by a factor of 40, yet the absorption rate is doubled. Furthermore, by suitably designing the spectral phase of the pulse, we increase the absorption rate by a factor of 7.     

The Cabibbo angle in an SU(2) × U(1) × U(1) model

In the recently proposed SU(2) × U(1) × U(1) model the requirement that strangeness is naturally conserved in the natural Higgs couplings leads to tan θ_c ～m_dm_s.     

Angular distribution of reaction products from the elementary reaction N + NO2 → N2 O+O by crossed molecular beams

The angular distribution of N₂O formed in the reaction of N with NO₂ has been measured by crossing beams of the reactants. The results imply a high degree of internal excitation of the N₂O product.     

Parity,baryon number and supersymmetry

Space reflection induces a transformation in the pseudo-Lie algebra of generators of symmetries and supersymmetries. If there is a supermultiplet in the thepry in which the baryon number is zero for bosons and ± 1 for fermions then the structure of the pseudo-Lie algebra is simple and therefore the space reflection transformation can be studied in detail. It turns out that the space reflection transformation fixes uniquely the structure of the pseudo-Lie algebra as far as the generators of supersymmetries are concerned.     

Single path transition probabilities in curve-crossing phenomena. II. Phase shift

The use of inner S matrix, describing a single passage through the crossing region in a two channel problem, is extended to a calculation of the phase shifts. The results are compared with the semi-classical theory.     

BeF-Emissionsbanden im induktiv gekoppelten plasma

In this study we try to detect metal fluoride bands in the inductively coupled plasma. BeF¹ provided the most intense spectra with a head at 300.99 nm. Maximum intensity of BeF¹ was found under the following conditions: high carrier gas flow, low power level and low observation height above the load coil. The detection limit of fluoride by means of molecular emission was 400 mg l^?1.     

Portable capillary LC for in-line UV monitoring and MS detection: Comparable sensitivity and much lower solvent consumption

Pharmaceutical development currently relies on quality separation methods from early discovery through to line-of-site manufacturing. There have been significant advancements made regarding the column particle packing, internal diameter, length connectivity, the understanding of the impact key parameters like void volume, flow rate, and temperature all that affects the resultant separation quality, that is, resolution, peak shape, peak width, run time, and signal-to-noise ratio. There is however a strong need to establish better alternatives to large bulky high-performance liquid chromatography racks either for process analytical reaction monitoring or mass spectrometry analysis in establishing product quality. Compact, portable high-pressure liquid chromatography can be a more efficient alternative to traditional ultra-high pressure liquid chromatography and traditional liquid chromatography. The compact versatile instrument evaluated here allows good separation control with either the on-board column with fixed ultra-violet wavelength cartridge or for use with a high-resolution mass spectrometry. Significant space reduction results in greener lab spaces with improved energy efficiency for smaller labs with lower energy demands. In addition, this compact liquid chromatography was used as a portable reaction monitoring solution to compare forced degradation kinetics and assess portable liquid chromatography-mass spectrometry capability for the analyses required for pharmaceutical drug product testing.