New approach to the study of logarithmic in m1/m2 corrections in fine shift of energy levels of hydrogen-like atoms

2002 ◽  
Author(s):  
N. A. Boikova ◽  
S. V. Kleshchevskaya ◽  
N. E. Nunko ◽  
Yu. N. Tyukhtyaev
Keyword(s):  
Energy Levels ◽  
New Approach

Investigation of Nonlinear Effects in a Bolted Joint Beam Using the Base Excitation

2020 ◽  
Author(s):  
Sushil Doranga
Keyword(s):  
Energy Levels ◽  
Nonlinear System Identification ◽  
Nonlinear Effects ◽  
Base Excitation ◽  
Restoring Force ◽  
Nonlinear Parameters ◽  
New Approach ◽  
Surface Method ◽  
Force Reconstruction ◽  
Modal Space

Abstract In this paper, the nonlinearity detection, characterization and identification of a bolted beam assembly is presented. The new approach based on the force reconstruction using the base excitation as an input is used for the identification of nonlinear parameters. The nonlinear effect in the bolted beam assembly was induced by reducing the bolt clamping loads. A collection of frequency response functions (FRFs) are shown at different clamping loads to detect and characterize the nonlinearities. Once the nonlinearities are detected and characterized, the restoring force surface method using the reconstructed force was used to identify the nonlinear parameters in the modal space. Four different base excitation (energy) levels with three different tightening torques were considered in the tests in order to study the energy dependence of the damping nonlinearities. In all the cases, the nonlinear system identification methodology employed was successful in identifying the damping and stiffness nonlinearities.

STATISTICAL MODELING OF DIFFUSION COEFFICIENT IN THE MASS HETEROGENEOUS STRUCTURES

2003 ◽  
Vol 17 (11) ◽  
pp. 2313-2323 ◽  
Author(s):  
Lj. MAŠKOVIĆ ◽  
R. VUJOVIĆ ◽  
B. S. TOŠIĆ ◽  
E. MOHORA
Keyword(s):  
Experimental Data ◽  
Diffusion Coefficient ◽  
Statistical Modeling ◽  
Coupled Oscillators ◽  
Energy Levels ◽  
Mass Dependence ◽  
Statistical Probability ◽  
New Approach ◽  
Heterogeneous Structures ◽  
Comparison With Experimental Data

The statistical modeling was used in the analysis of structures containing heterogeneous masses. The statistical probability of a system of coupled oscillators was found taking into account the mass dependence of energy levels. It is essentially a new approach. Both the low as well as high temperature expressions for diffusion coefficient were found. Comparison with experimental data gave satisfactory agreement.

NEW APPROACH TO THREE-BODY COULOMB PROBLEM WITH NONZERO TOTAL ANGULAR MOMENTUM

2001 ◽  
Vol 12 (06) ◽  
pp. 835-850
Author(s):  
GHADA H. MACHTOUB
Keyword(s):  
Angular Momentum ◽  
Exact Solutions ◽  
Total Angular Momentum ◽  
Energy Levels ◽  
Coulomb Systems ◽  
Physical Problem ◽  
Coriolis Coupling ◽  
Hyperspherical Harmonics ◽  
New Approach ◽  
Three Body

Our approach aims at a general formalism for the quantum description of the three-body Coulomb systems. We seek the exact solutions of 6D Schrödinger equation. For this, we propose a new algorithm for the case of nonzero total angular momentum, taking into account the overall rotation of the system, which is affected indirectly by the Coriolis coupling. We construct a special set of hyperspherical harmonics, which provide much more flexibility in choosing the best basis for the needs of this particular physical problem. The robustness, efficiency, and accuracy of the adopted algorithm are studied in detail. We apply this method to the computation of the nonrelativistic energy levels of the exotic helium [Formula: see text].

The Peripheral Hearing Mechanism: A Biochemical and Biological Approach

1976 ◽  
Vol 85 (1) ◽  
pp. 38-42 ◽  
Author(s):  
Lionel Naftalin
Keyword(s):  
Solid State ◽  
Conformational Changes ◽  
Membrane Surface ◽  
Energy Levels ◽  
Acoustic Energy ◽  
Sensory Cells ◽  
Tectorial Membrane ◽  
Solid State Physics ◽  
New Approach ◽  
Semi Solid

A new approach is described to the problem of hearing at energy levels near threshold. Models depending on the macro-physics of levers are rejected. Instead, evidence is presented for frequency analysis, signal placement and energy transduction by the properties (known or experimentally determined) of the cochlea and of the structures within the scala media. The hypothesis developed rests on the established theorems of Gabor and Brillouin, and at the same time is based on the data of enzymology. Care is taken not only that the hypothesis does not conflict but that it is actually consonant with recent solid state physics. The cochlea by virtue of its internal geometry and contained column of fluid is considered to perform a Fourier analysis to a first approximation. This crude “placement” of the acoustic signal is refined by the semi-solid-state lattice of the tectorial membrane which far from permitting dissipation of the signal energy actually “concentrates” the energy at the membrane surface of the hair processes of a hair cell. Here biochemical transduction, akin to the processes known for other sensory cells, transforms acoustic energy through an ion-shuttling mechanism to the form of energy characteristic of living cells, viz. enzyme conformational changes.

Basicity or Ionicity – A New Approach for Understanding Glass Properties

2008 ◽  
Vol 39-40 ◽  
pp. 129-134
Author(s):  
Adrian Volceanov
Keyword(s):  
Energy Levels ◽  
Electronic Energy ◽  
New Approach ◽  
Novel Approach ◽  
History Of ◽  
Chemical Character ◽  
Electronic Energy Levels ◽  
Major Adjustment ◽  
Global Mean ◽  
Glass Properties

Basicity of glass is still a challenge in spite of various attempts to measure or calculate it. The values assigned for basicity of glasses, either calculated or experimentally determined, are not always in full agreement with actual facts, and discrepancies among the theoretical ones are not unusual. For instance, SiO2 is described by a single basicity value even if the polymorphs of SiO2 are quite different. Only few attempts were made to face this challenge. Present paper deals with a novel approach on theoretical ionicity / basicity based on electronic energy levels or band structure of solids. Another major adjustment takes into account the possibility of decomposing ionicity of complex chemical bondings into a sum of binary bondings. Considering the distribution of the interbonding angles specific for vitreous systems, it is possible to estimate both a local ionicity (basicity) of bondings and a global (mean) basicity of glass. The variation of basicity (ionicity) with temperature is also presented, this finding being able to open a new view on thermal history of glass considered through chemical character of bondings.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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