Exact bounds to one-dimensional potential scattering amplitudes through the classical theory of moments

1988 ◽  
Vol 38 (1) ◽  
pp. 490-493 ◽  
Author(s):  
Carlos R. Handy ◽  
Lishi Luo ◽  
Giorgio Mantica ◽  
Alfred Z. Msezane
Keyword(s):  
Scattering Amplitudes ◽  
Classical Theory ◽  
Potential Scattering ◽  
One Dimensional ◽  
Exact Bounds

RENORMALIZATION OF POTENTIAL SCATTERING IN A ONE-DIMENSIONAL NON-LUTTINGER LIQUID: CONDUCTION AND X-RAY FERMI-EDGE SINGULARITY

1995 ◽  
Vol 09 (05) ◽  
pp. 249-269
Author(s):  
DONGXIAO YUE
Keyword(s):  
Luttinger Liquid ◽  
Scattered Wave ◽  
Zeeman Splitting ◽  
Electron System ◽  
Potential Scattering ◽  
Differential Conductance ◽  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

We review some of our recent results on the potential scattering in a weakly interacting one-dimensional(1D) electron gas. The technique we developed is a poor man's renormalization group procedure in the scattered wave basis. This technique can treat the renormalizations of the scattering on the barrier and the scattering between the electrons in a coherent way, and it allows us to find the scattering amplitudes on a localized potential of arbitrary strength for electrons at any energy. The obtained phase shifts are used to study the Fermi-edge singularity in an interacting 1D electron system, where anomalous exponent of the power-law singularity in the vicinity of the edge is found. The transmission coefficient is directly related to the conductance of a 1D channel by the Landauer formula. Simple formulas that describe the conductance at any temperature are derived. In spin-[Formula: see text] systems, the electron–electron backscattering induces renormalizations of the interaction constants, which causes the low-temperature conductance to deviate from the results of the Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.

scholarly journals Comments on open string with ‘massive’ boundary term

2020 ◽  
Vol 476 (2236) ◽  
pp. 20190748
Author(s):  
Arkady A. Tseytlin
Keyword(s):  
Scattering Amplitudes ◽  
Partition Function ◽  
Gauge Field ◽  
Path Integral ◽  
Open String ◽  
One Dimensional ◽  
Conformally Invariant ◽  
Additional Constant ◽  
The One ◽  
Definition Of

We discuss possible definition of open string path integral in the presence of additional boundary couplings corresponding to the presence of masses at the ends of the string. These couplings are not conformally invariant implying that as in a non-critical string case one is to integrate over the one-dimensional metric or reparametrizations of the boundary. We compute the partition function on the disc in the presence of an additional constant gauge field background and comment on the structure of the corresponding scattering amplitudes.

Existence of partial-wave two-cluster atomic scattering amplitudes

1979 ◽  
Vol 57 (3) ◽  
pp. 449-456 ◽  
Author(s):  
J. Nuttall ◽  
S. R. Singh
Keyword(s):  
Scattering Amplitudes ◽  
Partial Wave ◽  
Scattering Problem ◽  
Potential Scattering ◽  
Atomic Systems ◽  
Almost Everywhere ◽  
Cluster Threshold ◽  
Channel Potential ◽  
Atomic Scattering ◽  
Coupled Channel

It is shown, with some restrictions, that two-cluster partial wave scattering amplitudes for atomic systems whose particles interact via two-body Coulomb potentials exist almost everywhere in the energy range below any three-cluster threshold. The method of proof is to reduce the problem to a coupled channel potential scattering problem with pseudo-local potentials. Boost analyticity is used to derive the pseudo-locality.

Potential Scattering and Galilei-Invariant Expansions of Scattering Amplitudes

1973 ◽  
Vol 8 (10) ◽  
pp. 3527-3538 ◽  
Author(s):  
E. G. Kalnins ◽  
J. Patera ◽  
R. T. Sharp ◽  
P. Winternitz
Keyword(s):  
Scattering Amplitudes ◽  
Potential Scattering

On the Lateral Creep of Flat Belts

1963 ◽  
Vol 85 (3) ◽  
pp. 307-310 ◽  
Author(s):  
G. A. G. Fazekas
Keyword(s):  
Classical Theory ◽  
Nonlinear Materials ◽  
One Dimensional ◽  
Lateral Creep

Classical theory is based on one-dimensional (tangential) creep of a flat belt over the pulley. The present paper shows that in virtually every flat belt lateral creep affects performance very seriously, and explains some apparent anomalies, particularly those due to nonlinear materials.

scholarly journals Analysis of psychometrical properties of the scale of social anxiety of the neurotic disturbances questionnaire

2019 ◽  
pp. 70-76 ◽  
Author(s):  
L. I. Tsidik
Keyword(s):  
Social Anxiety ◽  
Psychometric Properties ◽  
Statistical Method ◽  
Classical Theory ◽  
Reliability Index ◽  
Measuring Instruments ◽  
One Dimensional ◽  
Neurotic Disorders ◽  
Balanced Metric ◽  
Validity Measures

Psychodiagnostic measuring instruments created within the framework of the classical theory of tests are distinguished by the instability of all psychometric parameters. Therefore, there arose the need to use modern scientifically grounded approaches for designing techniques that lack these shortcomings. The purpose of the study: to carry out an analysis of the psychometric properties of the scale of social anxiety of the questionnaire of neurotic disorders. A total of 296 people were tested. The main statistical method of work is the metric Rush system. Results: the approval of the scale of social anxiety possess an adequate constructual validity, measures of difficulty points are in the range from -2 to +2 logits, the scale is one-dimensional, has a relatively balanced metric structure, the reliability index is 0.83, the scale is able to differentiate the three levels of expression of the construct.

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