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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied physics 49 (1989), S. 349-359 
    ISSN: 1432-0649
    Keywords: 42.65.Ky
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We demonstrate that the intriguing 830 nm coherent emission, which is observed when sodium vapor is pumped with a high-power pulsed laser tuned near the 3S→4D two-photon transition, is due to an axially phase-matched six-wave mixing process. This conclusion is based upon the observation of emission near 584 nm, which is coupled to the 830 nm emission in the six-wave mixing process: ω1+ω2=2ωL−ω4D→4P −ω4P→3D . In addition, we have observed coherent emission near 1.16 μm, which is due to an analogous process involving cascade through the 4S (as opposed to the 3D) state. We calculate the wavelengths of all photons involved in these processes using the standard formulas of parametric wave-mixing theory, and show that they can be predicted to within experimental uncertainties. Finally we report observations of significant blue shifts of the 830 nm and 1.16 μm emissions in a mixed sodium-potassium vapor. These shifts can be readily understood by considering the effect of the potassium on the frequency-dependent refractive index of the vapor. Due to these results, other recent interpretations of the 830 nm emission as stimulated excimer emission on the Na2 13Σ g + →13Σ u + band must now be rejected.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Calculus of variations and partial differential equations 4 (1996), S. 171-202 
    ISSN: 1432-0835
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper has three topics. In Sect. 1, we present our results on the regularity and a priori estimates for solutions ofp-harmonic systems with Hölder continuous coefficients. Such systems come up in the study of Ginzburg-Landau type functional in higher dimensions. In Sect. 2, we study a stability inequality, which, in addition to its applications in the study of Ginzburg-Landau type functional, is of independent interest. In Sects. 3 and 4, we prove that for any sequence of minimizers of the higher dimensional Ginzburg-Landau type functional, a subsequence converges strongly away from a finite number of points, generalizing some of the two dimensional results of Bethuel, Brezis, and Hélein.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Calculus of variations and partial differential equations 4 (1996), S. 171-202 
    ISSN: 1432-0835
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. This paper has three topics. In Sect. 1, we present our results on the regularity and a priori estimates for solutions of $p$ -harmonic systems with Hölder continuous coefficients. Such systems come up in the study of Ginzburg-Landau type functional in higher dimensions. In Sect. 2, we study a stability inequality, which, in addition to its applications in the study of Ginzburg-Landau type functional, is of independent interest. In Sects. 3 and 4, we prove that for any sequence of minimizers of the higher dimensional Ginzburg-Landau type functional, a subsequence converges strongly away from a finite number of points, generalizing some of the two dimensional results of Bethuel, Brezis, and Hélein.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1432-203X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Isolated microspores of various populations of three varieties of the Chinese cabbage pakchoi (Brassica rapa ssp. chinensis) were cultivated in vitro on NLN82 medium (Lichter 1982) and embryos and plantlets obtained with nine cultivars. The best embryo yield per bud was 57.4. A 33°C one day heat treatment was generally necessary to induce embryogenesis. Analysis of ploidy level through flow cytometry for two cultivars indicated that haploids were present.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 166 (1994), S. 417-430 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper we study the compressible fluid model of uniformly rotating starts. It was proved in [Li] that for a given mass, there exists an equilibrium solution to the problem if the angular velocity is less than a certain constant. On the other hand for large angular velocities there is no equilibrium solution. In this paper we give an a-priori bound on diameters and the number of connected components of white dwarfs.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 200 (1999), S. 421-444 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: A Harnack type inequality is established for solutions to some semilinear elliptic equations in dimension two. The result is motivated by our approach to the study of some semilinear elliptic equations on compact Riemannian manifolds, which originated from some Chern–Simons Higgs model and have been studied recently by various authors.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1432-2234
    Keywords: Key words: Carbon monoxide ; Predissociation ; Rydberg states ; Nonadiabatic coupling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. Ab initio multireference configuration interaction calculations for adiabatic potential curves, nonadiabatic couplings 〈φ i (R,r)|d/dR|φ j (R,r)〉 and 〈φ i (R,r)|d2/dR 2|φ j (R,r)〉, and nuclear kinetic energy corrections 〈dφ i (R,r)/dR|dφ i (R,r)/dR〉 for the (3sσ) B and (3pσ) C1Σ+ Rydberg states of the CO molecule have been carried out. The energy positions and predissociation linewidths for the observed vibrational levels of these two states have been determined in a rigorous adiabatic representation by the complex scaling method employing a basis of complex scaled harmonic vibrational functions in conjunction with the Gauss-Hermite quadrature method to evaluate the complex Hamiltonian matrix elements. The present treatment correctly reproduces the observed trends in energies and line broadening for vibrational levels of the B1Σ+ state and represents an improvement over the previous treatment in literature. The errors in the determined spacings of the v = 0–4 vibrational levels of the C1Σ+ state are less than 2% compared with measured data. The predissociation linewidths for the v=3,4 levels of the C1Σ+ state are found to be 4.9 and 8.9 cm−1, respectively, in good agreement with the observed values.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Archive for rational mechanics and analysis 153 (2000), S. 91-151 
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: In this paper we derive global W 1,∞ and piecewise C 1,α estimates for solutions to divergence form elliptic equations with piecewise Hölder continuous coefficients. The novelty of these estimates is that, even though they depend on the shape and on the size of the surfaces of discontinuity of the coefficients, they are independent of the distance between these surfaces.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Astrophysics and space science 93 (1983), S. 255-259 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The scale-covariant theory of gravitation, which was proposed by Canutoet al. (1977), assumes that gravitational and atomic units are related by a scalar function of space-time. The cosmology based on this theory can explain very well the 3K radiation, as well as Hubble's redshift law. However, Falik (1979) derived a result from the scale-covariant cosmology which was in conflict with the observed helium abundance. Contrary to Falik, we show in this paper that if we choose a gauge functionβ∼t α and α satisfies the condition −1/3〈α〈1, the scale-covariant cosmology will be consistent with the observed cosmic-helium abundance. The value α=1/2 has recently been suggested by Canuto and Goldman (1982) on general grounds.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 83 (1991), S. 217-220 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The electrical resistance and low-field magnetoresistance have been measured on three dimensional ZrCo alloys. The data of magnetoresistance can be accounted for by the contributions from the quenching of superconducting fluctuation and weak localization. The former described by the Maki-Thompson (MT) correction is dorminant at low-temperatures. The interaction in the particle-particle channel gives rise to a negative magnetoresistance. The paraconductivity phenomenon has been observed and found to be in a good agreement with the sum of the Maki-Thompson (MT) term and the Aslamazov-Larkin (AL) term. The former plays an important role and the depression by the pair breaking effects due to thermal phonons may only be 10% of the term.
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