Generalized isospin sum rule: an application to magnetic transitions

1984 ◽  
Vol 62 (8) ◽  
pp. 764-770 ◽  
Author(s):  
John A. Montgomery ◽  
Kwang-Bock Yoo ◽  
Herbert Überall ◽  
B. Bosco
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Sum Rules ◽  
Experimental Results ◽  
Weighted Sum ◽  
Magnetic Transitions ◽  
Sum Rule ◽  
Numerical Predictions ◽  
Magnetic Dipole Transitions ◽  
Special Case

Energy-weighted sum rules with separated isospin contributions for arbitrary operators and multipolarities are developed for photonuclear and electron-scattering transitions. The Kurath sum rule is contained as a special case. Applying the sum rule to magnetic dipole transitions, ensuing numerical predictions for non-self-conjugate nuclei are compared with experimental results.

Magnetic dipole transitions in32Sfrom electron scattering at 180°

2002 ◽  
Vol 65 (2) ◽  
Author(s):  
F. Hofmann ◽  
P. von Neumann-Cosel ◽  
F. Neumeyer ◽  
C. Rangacharyulu ◽  
B. Reitz ◽  
...  
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Magnetic Dipole Transitions

scholarly journals Nuclear Sum Rules, Electron Scattering and Giant Resonances

1976 ◽  
Vol 29 (6) ◽  
pp. 375 ◽  
Author(s):  
LJ Tassie
Keyword(s):  
Form Factor ◽  
Electron Scattering ◽  
Nuclear Spin ◽  
Sum Rules ◽  
Transition Density ◽  
Hydrodynamical Model ◽  
Inelastic Electron ◽  
Giant Resonances ◽  
Sum Rule ◽  
Quadrupole Resonance

The isoscalar sum rules of Deal and Fallieros (1973) and generalizations of these sum rules are discussed. The isoscalar form factor and transition density for an arbitrary eigenstate of the nucleus are given as sums over the sum rules and, for a particular choice of the operators in the sum rules, are given by a series of which the first terms are the same as the results of the hydrodynamical model. It is shown that caution is needed in making nuclear spin assignments from inelastic electron scattering. The sum rule of Deal and Fallieros is used to clarify the calculation of Bohr and Mottelson (1975) of the energy of the isosca1.ar giant quadrupole resonance.

Magnetic dipole transitions and spin currents in inelastic electron scattering

1989 ◽  
Vol 230 (1-2) ◽  
pp. 1-5 ◽  
Author(s):  
P.O. Lipas ◽  
M. Koskinen ◽  
H. Harter ◽  
R. Nojarov ◽  
Amand Faessler
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Inelastic Electron ◽  
Spin Currents ◽  
Inelastic Electron Scattering ◽  
Magnetic Dipole Transitions

scholarly journals Pose-Guided Part-Based Adaptive Pyramid Features for Occluded Person Reidentification

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Xiaobing Lin ◽  
Jilin Li ◽  
Zengxi Huang ◽  
Xiaoqin Tang
Keyword(s):  
Neural Network ◽  
Body Part ◽  
Experimental Results ◽  
Weighted Sum ◽  
Sum Rule ◽  
Partition Scheme ◽  
Variation Problem ◽  
Alignment Problem ◽  
Fully Connected ◽  
The Impact

Reidentifying an occluded person across nonoverlapping cameras is still a challenging task. In this work, we propose a novel pose-guided part-based adaptive pyramid neural network for occluded person reidentification. Firstly, to alleviate the impact of occlusion, we utilize pose landmarks to generate pose-guided attention maps. The attention maps will help the model focus on the nonoccluded regions. Secondly, we use pyramid pooling to extract multiscale features in order to address the scale variation problem. The generated pyramid features are then multiplied by attention maps to achieve pose-guided adaptive pyramid features. Thirdly, we propose a pose-guided body part partition scheme to deal with the alignment problem. Accordingly, the adaptive pyramid features are divided into partitions and fed into individual fully connected layers. In the end, all the part-based matching scores are fused with a weighted sum rule for person reidentification. The effectiveness of our method is clearly validated by the experimental results on two popular occluded and holistic datasets, i.e., Occluded-DukeMTMC and the Market-1501.

scholarly journals QUANTUM MECHANICS AS QUANTUM MEASURE THEORY

1994 ◽  
Vol 09 (33) ◽  
pp. 3119-3127 ◽  
Author(s):  
RAFAEL D. SORKIN
Keyword(s):  
Quantum Mechanics ◽  
Quantum Physics ◽  
Sum Rules ◽  
Measure Theory ◽  
Interpretation Of Quantum Mechanics ◽  
Natural Manner ◽  
Sum Rule ◽  
Realistic Interpretation ◽  
Quantum Measure ◽  
Special Case

The additivity of classical probabilities is only the first in a hierarchy of possible sum rules, each of which implies its successor. The first and most restrictive sum rule of the hierarchy yields measure theory in the Kolmogorov sense, which is appropriate physically for the description of stochastic processes such as Brownian motion. The next weaker sum rule defines a generalized measure theory which includes quantum mechanics as a special case. The fact that quantum probabilities can be expressed "as the squares of quantum amplitudes" is thus derived in a natural manner, and a series of natural generalizations of the quantum formalism is delineated. Conversely, the mathematical sense in which classical physics is a special case of quantum physics is clarified. The present paper presents these relationships in the context of a "realistic" interpretation of quantum mechanics.

High-multipolarity magnetic sum rule

1981 ◽  
Vol 59 (9) ◽  
pp. 1194-1199
Author(s):  
John A. Montgomery ◽  
John P. Ertel ◽  
Herbert Überall
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Light Nuclei ◽  
Inelastic Electron ◽  
Sum Rule ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Inelastic Electron Scattering ◽  
Spin Flip

We have derived a spin flip magnetic multipole sum rule for magnetic dipole (ML) transitions, L ≥ 2 of T = 1 type, valid in the long-wavelength limit. It is applied to known ML transitions in several light nuclei, including recently measured M6 and M8 transitions in inelastic electron scattering, and the degree of sum-rule exhaustion is determined.

scholarly journals Comparative Study of Multimodal Biometric Recognition by Fusion of Iris and Fingerprint

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Houda Benaliouche ◽  
Mohamed Touahria
Keyword(s):  
Fuzzy Logic ◽  
Error Rates ◽  
Experimental Results ◽  
Weighted Sum ◽  
Comparative Performance ◽  
Sum Rule ◽  
Fuzzy Logic Method ◽  
Matching Score ◽  
Fingerprint Database ◽  
Logic Method

This research investigates the comparative performance from three different approaches for multimodal recognition of combined iris and fingerprints: classical sum rule, weighted sum rule, and fuzzy logic method. The scores from the different biometric traits of iris and fingerprint are fused at the matching score and the decision levels. The scores combination approach is used after normalization of both scores using the min-max rule. Our experimental results suggest that the fuzzy logic method for the matching scores combinations at the decision level is the best followed by the classical weighted sum rule and the classical sum rule in order. The performance evaluation of each method is reported in terms of matching time, error rates, and accuracy after doing exhaustive tests on the public CASIA-Iris databases V1 and V2 and the FVC 2004 fingerprint database. Experimental results prior to fusion and after fusion are presented followed by their comparison with related works in the current literature. The fusion by fuzzy logic decision mimics the human reasoning in a soft and simple way and gives enhanced results.

Magnetic dipole energy-weighted sum rules with a delta interaction

1981 ◽  
Vol 7 (12) ◽  
pp. 1639-1645 ◽  
Author(s):  
T R Halemane ◽  
A Abbas ◽  
L Zamick
Keyword(s):  
Magnetic Dipole ◽  
Sum Rules ◽  
Weighted Sum ◽  
Dipole Energy

THE ENERGY-WEIGHTED SUM RULE IN THE NAMBU-JONA-LASINIO MODEL AND THE PROPERTIES OF MESONS (π, π′)

1992 ◽  
Vol 07 (03) ◽  
pp. 207-213
Author(s):  
C.A. DE SOUSA
Keyword(s):  
Sum Rules ◽  
Weighted Sum ◽  
Chiral Perturbation ◽  
Qcd Sum Rules ◽  
Sum Rule ◽  
Njl Model ◽  
Properties Of Mesons

Vacuum and pionic properties are discussed in the context of the NJL model, using the energy-weighted sum rule which is saturated taking into account the contribution of the π(1300) resonance other than the low-lying pionic mode. Although the simplicity of our assumption the method used here establishes a connection between genuine QCD parameters and hadronic quantities. The results are qualitatively in agreement with important conclusions obtained by sophisticated QCD-inspired approaches as the so-called QCD sum rules or chiral perturbation theories.

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