We emulate the Rademacher functions on any non-commutative compact group requiring the resulting system to have pairwise disjoint spectra. Introduction Let G be a compact topological group with normalized Haar measure μ and dual object Ĝ. Let π : G → U(Hπ) be an irreducible unitary representation of G. Then, given an integrable function f : G → C, the Fourier coefficient of f at π is defined as...

Exactness of the lowest order supersymmetric WKB (SWKB) quantization condition x 2 x 1 E − ω 2 (x)dx = n¯ hπ, for certain potentials, is examined, using complex integration technique. Comparison of the above scheme with a similar , but exact quantization condition, c p(x, E)dx = 2πn¯ h, originating from the quantum Hamilton-Jacobi formalism reveals that, the locations and the residues of the po...

A laser ablation device in combination with a molecular beam Fourier-transform microwave spectrometer has allowed the observation of the rotational spectrum of serotonin for the first time. Three conformers of the neurotransmitter have been detected and characterized in the 4-10 GHz frequency range. The complicated hyperfine structure arising from the presence of two (14)N nuclei has been fully...

Three new metal coordination polymers, namely, [Co(DPP)2(H2O)2]·(BS)2·2H2O (1), [Co(DPP)2(H2O)2]·(ABS)2·2H2O (2) and [Co(DPP)2(MBS)2] (3) [DPP = 1,3-di(pyridin-4-yl)propane, BS = phenyl sulfonic acid, ABS = p-aminobenzene sulfonic acid, MBS = p-methylbenzene sulfonic acid] were obtained under hydrothermal conditions. Complexes 1-3 were structurally characterized using X-ray single-crystal diffr...

The existence of flavor exotic QQq̄q̄ molecular-type states is investigated. An attractive force between two pseudoscalar H = (Qq̄) heavy meson is generated by (correlated) two-pion exchange. The emergence of a (loosely) bound state depends crucially on the value of the coupling constant g of the H∗Hπ vertex. For a g value calculated from the experimental upper limit on the width of the D∗ meson t...

We report the synthesis of meso enyne substituted BODIPYs by the reaction of 8-chloro BODIPY with terminal alkynes under Sonogashira coupling conditions, and by Pd-Cu catalyzed hydroalkynylation reaction of terminal alkynes, across the -C[triple bond, length as m-dash]C- bond of meso alkynylated BODIPYs. The scope of reaction was explored by reacting different meso alkynylated BODIPYs with vari...

Using 3.3 Million BB̄ pairs accumulated with the CLEO detector we have measured B(B → Kπ) = (1.5 −0.4 ± 0.1± 0.1)× 10, B(B → Kπ) = (2.3 −1.0 ± 0.2± 0.2)× 10, and B(B → η′K+) = (7.8 −2.2±1.0)×10. These constitute the first observations of exclusive B decays to charmless hadronic final states. Furthermore, a measurement of B(B → hπ) = (1.6 +0.3 −0.5 −0.2 ± 0.1) × 10, as well as upper limits on var...

Let us briefly describe the setting in which we are working. D denotes the set of all dyadic intervals contained in the unit interval. π : D → D denotes a permutation of the dyadic intervals. The operator induced by π is determined by the equation TπhI = hπ(I) where hI denotes the L∞-normalised Haar function supported on the dyadic intervall I. The main result of this paper treats general permu...

The H * Hπ form factor for H = B and D mesons is evaluated in a QCD sum rule calculation. We study the Borel sum rule for the three point function of two pseudoscalar and one vector meson currents up to order four in the operator product expansion. The double Borel transform is performed with respect to the heavy meson momenta. We discuss the momentum dependence of the form factors and two diff...

A qualitative and quantitative energetic and structural study of dibenzyl ketone (DBK) and benzyl ethyl ketone (BEK) was carried out in order to obtain insights into the type and magnitude of aromatic interactions that these systems present in their different phases. The crystal structure of DBK was obtained by X-ray crystallography, and it shows that the conformation adopted in the crystalline...