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81.
82.
E. Olsson 《Zeitschrift für Physik A Hadrons and Nuclei》1934,90(1-2):138-144
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E. Olsson 《Zeitschrift für Physik A Hadrons and Nuclei》1936,100(9-10):656-664
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P. Grundevik M. Gustavsson G. Olsson T. Olsson 《Zeitschrift für Physik A Hadrons and Nuclei》1983,312(1-2):1-9
Measurements of the hyperfine structures in the 6p5d 1 D 2,3 D 1 and3 F 2, 3, 4 states of135Ba and137Ba, and isotope-shifts in several far-red transitions between the 6s 5d and 6p 5d configurations, as well as the transition 6s 2 1 S 0→6s6p 3 P 1 at 7,911 Å have been performed using high-resolution laser spectroscopy on a collimated atomic beam of natural barium. An analysis of the magnetic-dipole interaction in the 6p 5d configuration using effective one- and two-body hyperfine operators is presented. In particular the contact interaction was studied with respect to the correlation between the two valence electrons. Effects of strong configuration interaction were found. From a King-plot analysis of the isotope shift term- andJ-dependence of the field shift have been evaluated for the transitions between the 6s 5d and 6p 5d configurations. Relativistic Hartree-Fock (RHF) calculations have been performed of electron densities at the nucleus for six different configurations in Ba I and Ba II. The RHF calculations reproduce the experimental King-plot slopes quite well, while the absolute values, of the changes in electron density at the nucleus for the studied transitions, are found to be 9% lower than the results derived from a muonic experiment. 相似文献
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Christine?BessenrodtEmail author J?rn?B.?Olsson Richard?P.?Stanley 《Journal of Algebraic Combinatorics》2005,21(2):163-177
We determine invariants like the Smith normal form and the determinant for certain integral matrices which arise from the character tables of the symmetric groups Sn and their double covers. In particular, we give a simple computation, based on the theory of Hall-Littlewood symmetric functions, of the determinant of the regular character table RC of Sn with respect to an integer r 2. This result had earlier been proved by Olsson in a longer and more indirect manner. As a consequence, we obtain a new proof of the Mathas Conjecture on the determinant of the Cartan matrix of the Iwahori-Hecke algebra. When r is prime we determine the Smith normal form of RC. Taking r large yields the Smith normal form of the full character table of Sn. Analogous results are then given for spin characters.Partially supported by The Danish National Research Council.Partially supported by NSF grant #DMS-9988459. 相似文献
90.
Generalizing results on spin character degrees, we determine for a given conjugacy class of odd type in the double cover of Sn spin characters of Sn which have the minimal 2-power on this class in their character value. Surprisingly, the Glaisher map plays an important rôle here.
Presented by L. Le BruynMathematics Subject Classifications (2000) 20C30, 05A15. 相似文献