Systematic Approach to the Analysis of Perturbed Spectra. Part II: Solvina the Problem—A Case Study

Abstract

Part I of this review [1] presented an overview of the study of perturbed spectra, the formal structure of vibration-rotation energy states, the systematic determination of symmetry allowed interactions, the representation and calculation of perturbed energies, and the inverse eigenvalue problem. In this concluding part we first consider perturbation effects on transition frequency and intensity in light of the formalism of Part I. Following this we develop a formalism for fitting perturbed spectra and carry out several example cases. Following these examples, we present a real case study of a perturbed system of vibration-rotation bands that illustrates a series of nearly insuperable problems in analysis. In the process of describing the approach to analysis, much of what was presented in Part I will be made concrete. In addition, the case study should give light to a number of areas only mentioned in passing in Part I.     

Report on the INFN—GRID Globus Evaluation

This article summarizes the activities and the results of the Globus software evaluation,which was carried out in the framework of the INFN-GRID project.     

A review of: Report on the Book “Lectures on phase transitions”

by V.I. Yukalov, and A.S. Shumovsky (World Scientific)     

X-ray crystallography—A meeting place of the sciences

In this article I have tried to give an account of x-ray crystallography as a new subject which is still rapidly expanding. Without any doubt it is an important subject because it is the main method for examining the solid state on an atomic scale. It is an absorbing subject because the fundamental problem of interpreting the experimental evidence still exists and therefore intellectual effort must be put into understanding the scientific principles as well as in deriving results. This effort is at present mainly mathematical, and many people believe that it is probable that the ultimate solution must come through mathematics. But in this article I have endeavoured to show that the subject is essentially a physical one, and have described the physical procedures that I hope will reach the winning post first!

This interesting race, and the collaboration of so many other branches of science, make x-ray crystallography a most lively subject to work in.     

A new proposal for the discretization of the Griffin—Wheeler—Hartree—Fock equations

A polynomial expansion is proposed as a new way to discretize the Griffin-Wheeler-Hartree-Fock equations of the Generator Coordinate Hartree-Fock method. The implementation of the polynomial expansion in the Generator Coordinate Hartree-Fock method discretizes the Griffin-Wheeler-Hartree-Fock equations through a numerical mesh which is not equally spaced. This procedure makes the optimization of Gaussian exponents in the Generator Coordinate Hartree-Fock method more flexible and more efficient. The results obtained with the polynomial expansion for atomic Hartree-Fock energies show this technique is very powerful when employed in the design of compact and high accurate Gaussian basis sets used in ab initio non-relativistic (Hartree-Fock) and relativistic (Dirac-Fock) calculations.     

Wilson fermions on the lattice—A study of the eigenvalue spectrum

We have studied the eigenvalues of the Wilson fermion matrix on various lattice sizes and for a range of coupling constants, β, in the quenched approximation. The implications for the phase structure of lattice QCD in the presence of Wilson fermions are discussed.     

Infrared magnetooptic — A tool for the determination of the effective mass

The analysis of the magnetooptical effects of heavily doped materials at the plasma edge yields the concentration dependence of the effective cyclotron mass. Therefore these experiments support the general diskussion about the nonparabolicity of a band, the position of the Fermi level at high degenerated semiconductors and the determination of the dispersion function. Experimental results of the magnetooptical determinedm _c ^* (N) function are compared with coresponding band structure calculations. A matrix calculation model, which describes the symmetrical magnetooptical transmission effects as well as the asymmetrical magnetooptical reflection effects of arbitrary successions of coherent films and incoherent substrates consitently, is used to determine free carrier density profilesN (z) of inhomogeneously doped semiconductors non-destructively. This application of the matrix formalism requires the knowledge of them ^* (N)-function. The influence of the effective cyclotron mass on thedifferential magnetooptical interference structures caused by buried density profiles is discussed.     

Description of Superdeformed Bands of the Nuclei in A—80 Mass Region

Within the supersymmetry scheme inchuding many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry,the superdeformed (SD) bands of the nuclei in the A-80 mass region are investigated systematically.Quantitatively good results of the γ-ray energy spectra and the dynamical monents of inertia are obtained.It is shown that the supersymmetry approach is powerful to describe not only the generic rotational property,but also the characteristic of the triaxial SD band simultaneously.     

Analysis of the low—lying spectrum of the He—tetramer

There is a type of nodal surface imposed by symmetry on wavefunctions.These surfaces are crucial to the ordering of low-lying states.Based on an analysis of this type of surface and based on existing theoretical results,the feature of the low-lying spectrum of the He-tetramer is studied,and the candidates of bound states and narrow resonances are suggested.     

Fusion Reactivity in the Case of Ion Cyclotron Resonant Heating

By applying the integral-variable-change technique, an explicit expression of deuterium-tritium fusion reactivityin the case of second harmonic ion cyclotron resonant heating on deuterium is obtained.     

Fock–Schwinger Method in the Case of Different Masses

JETP Letters - The result of removing heavy particles with different mass from the theory spectrum can be described at low energy by the effective action, which is an asymptotic series in inverse...     

A Study of the Density Variations of Mesospheric Ozone in the Case of Ionospheric Perturbation by The “Sura” Facility Radiation with Simultaneous Diagnostics of Ionospheric Plasma

Radiophysics and Quantum Electronics - We present the results of microwave observations of atmospheric radiation in the ozone line in the case of ionospheric perturbation by powerful high-frequency...     

A generalization of the Fényes — Nelson stochastic model of quantum mechanics

It is shown that the stochastic model of Fényes and Nelson can be generalized in such a way that the diffusion constant of the Markov theory becomes a free parameter. This extra freedom allows one to identify quantum mechanics with a class of Markov process with diffusion constants varying from 0 to .     

Telecommunications—the state of the art

This article is a survey of the technological foundations of telecommunications, including both point-to-point electrical communication wing wires, cables and other guiding media. and radio wave broadcasting to many receivers via terrestrial transmitters or Earth-orbiting space satellites. The characteristics of analogue and digital telecommunication signals, the means available for their transmission and switching me described, together with the organization of local distribution, national and global networks. The various services that can be provided over such networks, including in addition to telephonic communication, audio and video conferencing, data and facsimile transmission and new vied-display data/information access services (Teletext) are outlined. Finally, the sociological implications of these technological and service developments me considered, for example in terms of their impact on urban and rural planning, where people live and work, and on energy economy by reducing the need to travel.     

Effect of a force-free end on the mechanical property of a biopolymer——A path integral approach

We study the effect of a force-free end on the mechanical property of a stretched biopolymer.The system can be divided into two parts.The first part consists of the segment counted from the fixed point(i.e.,the origin) to the forced point in the biopolymer,with arclength L_f.The second part consists of the segment counted from the forced point to the force-free end with arclength △L.We apply the path integral technique to find the relationship between these two parts.At finite temperature and without any constraint at the end,we show exactly that if we focus on the quantities related to the first part,then we can ignore the second part completely.Monte Carlo simulation confirms this conclusion.In contrast,the effect for the quantities related to the second part is dependent on what we want to observe.A force-free end has little effect on the relative extension,but it affects seriously the value of the end-to-end distance if △L is comparable to L_f.