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101.
The characteristic function has been an important tool for studying completely non-unitary contractions on Hilbert spaces.
In this note, we consider completely non-coisometric contractive tuples of commuting operators on a Hilbert space H. We show
that the characteristic function, which is now an operator-valued analytic function on the open Euclidean unit ball in ℂn, is a complete unitary invariant for such a tuple. We prove that the characteristic function satisfies a natural transformation
law under biholomorphic mappings of the unit ball. We also characterize all operator-valued analytic functions which arise
as characteristic functions of pure commuting contractive tuples. 相似文献
102.
Dipak Ghosh Argha Deb Swarnapratim Bhattacharyya Jayita Ghosh Rupa Das 《Acta Physica Hungarica A》2003,17(1):161-166
This paper reports an investigation on the two-particle long-range angular correlation among the target fragments produced in 28Si–AgBr interactions at 14.5 AGeV, 16O–AgBr interactions at 60 AGeV and 32S–AgBr interactions at 200 AGeV. The experimental data have been compared with Monte Carlo simulated events to extract dynamical correlation. The data exhibit two-particle long-range correlation in emission angle space at all energies. 相似文献
103.
Jye -Chyl Lu Gouri K. Bhattacharyya 《Annals of the Institute of Statistical Mathematics》1990,42(3):543-559
In this article, several approaches are advanced towards the construction of bivariate Weibull models from the consideration of failure behaviors of the components of a two-component system. First, a general method of construction of bivariate life models is developed in the setting of random environmental effects. Some new bivariate Weibull models are derived as special cases and added insights are provided for some of the existing ones. In the course of model formulation in terms of the dependence structure, a new bivariate family of life distributions is constructed so as to incorporate both positive and negative quadrant dependence in the same parametric setting, and a bivariate Weibull model is obtained as a special case. Finally, some distributional properties are presented for a bivariate Weibull model derived from the consideration of random hazards. 相似文献
104.
It is demonstrated that a generalized version of the orthogonal gradient method of orbital optimization may sometimes encounter
a specific divergence problem which may be termed intrinsic to the first order method. Instead of switching over to a more
sophisticated second order method one can cure the divergence problem at the first order level itself by suitably tailoring
the MC-SCF operator or the MC-SCF energy matrix. Results of complete geometry optimization of propynal inl,3nπ* and3ππ* states (pathological cases) are reported to demonstrate the usefulness of the method at an INDO-MCSCF level of approximation.
The results of structure calculations are further rationalized from generalized quantum chemical bond order indices. 相似文献
105.
106.
The effect of replacing the hydrogen atoms in thioformaldehyde by halogen atoms (F, Cl) on the ionisation potential of the
non-bonding electron is analysed by using the Hellman-Feynman theorem, regarding the nuclear charge of the substituent as
a parameter in the many-electron Hamiltonian. The trends predicted by our theory nicely agree with the relevant ionisation
potentials computed either by applying Koopmans’ theorem or by the ΔE
SCF method. For the carbonyls, avaible experimental data indicate the reliability of our prediction. 相似文献
107.
108.
S. Bhattacharyya 《Il Nuovo Cimento C》1988,11(4):443-446
Summary The very recent measurements on the ratio of cosmic antiproton to proton have contradicted seriously the previous measurements
of the same for low-energy antiprotons. The controversial situation has been described and its implication for the validity
of the postulate about the existence of antigalaxy has been examined. Although a very decisive conclusion cannot yet be made,
a two-component behaviour of the ratio cannot, however, be excluded. Moreover, this two-component proposition seems to have
better prospectsvis-a-vis the high-energy measurements of the ratio. 相似文献
109.
In the light of the equation of motion method a general expression for polarisability calculation has been derived. From this
general expression, different approximation methods can be deduced for different choices of ground state and excitation manifold.
Among these the coupled Hartree-Fock theory is the most extensively used one for polarisability calculations. It has also
been shown that this theory has a simple relationship with random phase approximation. 相似文献
110.
Summary Bjorken predicted in the recent past about the large excess emission of photons in high-energy collisions and this was subsequently
corroborated by some experimentalists as well. Obviously, this phenomenon is just opposite in nature to pro-centauro events
marked by the production of photonless hadrons. In this note we will try to trace the outlines of this confusing and contradictory
situation, probe quantitatively into this excess emission of photons (called progammaisation events) and compare them mainly
with Bjorken's disoriented-chiral-condensate (DCC) model. 相似文献