scholarly journals CLASSIFICATION OF WAVE FUNCTIONS IN A MANY NUCLEON SYSTEM BY A ROTATION GROUP METHOD

1974 ◽  
Vol 23 (3) ◽  
pp. 13
Author(s):  
REN GENG-WEI
Keyword(s):  
Rotation Group ◽  
Wave Functions ◽  
Group Method ◽  
Nucleon System

scholarly journals Wavefront dislocations reveal the topology of quasi-1D photonic insulators

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Clément Dutreix ◽  
Matthieu Bellec ◽  
Pierre Delplace ◽  
Fabrice Mortessagne
Keyword(s):  
Local Density ◽  
Topological Defects ◽  
Wave Functions ◽  
Topological Classification ◽  
Local Density Of States ◽  
Topological Phase Transition ◽  
Interference Fringes ◽  
Classical Wave ◽  
Phase Singularities

AbstractPhase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wave functions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Realising 1D microwave insulators, we experimentally observe a wavefront dislocation – a 2D phase singularity – in the local density of states when the systems undergo a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterises the band topology in the insulator.

NATURAL ORBITALS AND ELECTRON ELASTIC MAGNETIC SCATTERING BY NUCLEI

1996 ◽  
Vol 05 (04) ◽  
pp. 717-724 ◽  
Author(s):  
D.N. KADREV ◽  
A.N. ANTONOV ◽  
M.V. STOITSOV ◽  
S.S. DIMITROVA
Keyword(s):  
Density Fluctuation ◽  
Form Factors ◽  
Wave Functions ◽  
Magnetic Scattering ◽  
Correlation Effects ◽  
Valence Nucleon ◽  
Nucleon System ◽  
Natural Orbitals ◽  
Transverse Form Factor ◽  
Fluctuation Model

Natural orbitals obtained within the coherent density fluctuation model and containing nucleon correlation effects are used to calculate characteristics of the A-nucleon system, such as the electron elastic magnetic scattering form factors. The calculations are performed for nuclei with a doubly-closed core and a valence nucleon in a stretched configuration (j=l+1/2), such as the 17 O and 41 Ca nuclei. It is shown that the calculations of the transverse form factor using natural orbitals improve the agreement with the experimental data in comparison with the case when shell-model single-particle wave functions are used.

scholarly journals Metric-Affine Geometries with Spherical Symmetry

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 453 ◽  
Author(s):  
Manuel Hohmann
Keyword(s):  
Spherical Symmetry ◽  
Rotation Group ◽  
Spin Connection ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Comprehensive Overview ◽  
Pure Rotation ◽  
Affine Geometries ◽  
Spherically Symmetric Metric

We provide a comprehensive overview of metric-affine geometries with spherical symmetry, which may be used in order to solve the field equations for generic gravity theories which employ these geometries as their field variables. We discuss the most general class of such geometries, which we display both in the metric-Palatini formulation and in the tetrad/spin connection formulation, and show its characteristic properties: torsion, curvature and nonmetricity. We then use these properties to derive a classification of all possible subclasses of spherically symmetric metric-affine geometries, depending on which of the aforementioned quantities are vanishing or non-vanishing. We discuss both the cases of the pure rotation group SO ( 3 ) , which has been previously studied in the literature, and extend these previous results to the full orthogonal group O ( 3 ) , which also includes reflections. As an example for a potential physical application of the results we present here, we study circular orbits arising from autoparallel motion. Finally, we mention how these results can be extended to cosmological symmetry.

Orthogonal Classification of Alpha-Particle Wave Functions

1967 ◽  
Vol 158 (4) ◽  
pp. 907-916 ◽  
Author(s):  
John E. Beam
Keyword(s):  
Alpha Particle ◽  
Wave Functions

Nucleon-deuteron scattering with tensor forces

1958 ◽  
Vol 247 (1248) ◽  
pp. 73-91 ◽  
Keyword(s):  
Elastic Scattering ◽  
Differential Cross Section ◽  
Differential Equations ◽  
Cross Section ◽  
Differential Cross ◽  
Asymptotic Form ◽  
Wave Functions ◽  
Group Method ◽  
Deuteron Scattering ◽  
Mixing Parameters

The theory of the elastic scattering of neutrons or protons by deuterons is formulated. It is assumed that the two-body interaction is a mixture of central and tensor components, and the resonating group method is used to derive coupled integro-differential equations for the wave functions of relative nucleon-deuteron motion. The differential cross-section is expressed in terms of eigenphase shifts and mixing parameters, which may be calculated from the asymptotic form of the solutions of these equations.

scholarly journals Classification of nodal pockets in many-electron wave functions via machine learning

2012 ◽  
Vol 50 (7) ◽  
pp. 2043-2050 ◽  
Author(s):  
Erin LeDell ◽  
Prabhat ◽  
Dmitry Yu. Zubarev ◽  
Brian Austin ◽  
William A. Lester
Keyword(s):  
Machine Learning ◽  
Wave Functions ◽  
Electron Wave

Orthogonal Classification of Alpha-Particle Wave Functions

1967 ◽  
Vol 164 (4) ◽  
pp. 1566-1566 ◽  
Author(s):  
John E. Beam
Keyword(s):  
Alpha Particle ◽  
Wave Functions
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