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

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

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.

Test of new shell model wave functions by means of 166 MeV alpha particle inelastic scattering

1974 ◽  
Vol 49 (5) ◽  
pp. 443-446 ◽  
Author(s):  
L. Bimbot ◽  
I. Brissaud ◽  
Y. Le Bornec ◽  
B. Tatischeff ◽  
N. Willis ◽  
...  
Keyword(s):  
Inelastic Scattering ◽  
Shell Model ◽  
Alpha Particle ◽  
Wave Functions ◽  
Model Wave

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

Classification of triton wave functions

1958 ◽  
Vol 8 ◽  
pp. 310-324 ◽  
Author(s):  
G. Derrick ◽  
J.M. Blatt
Keyword(s):  
Wave Functions

High-lying doubly excited states of He and H−: electron correlations and classification schemes

Open Physics ◽  
2005 ◽  
Vol 3 (3) ◽  
Author(s):  
Spyros Themelis
Keyword(s):  
Excited States ◽  
Wave Functions ◽  
Electron Correlations ◽  
Classification Schemes ◽  
Doubly Excited States ◽  
Quantum Numbers ◽  
Doubly Excited

AbstractHigh-lying doubly excited states of He and H− are studied and energies and intrinsic characteristics of their wave-functions are reported. Results for energies of 3Po and 1D doubly excited states associated with the hydrogenic thresholds up to N = 20 are presented and compared to available data from the literature. The classification of these doubly excited states by approximate quantum numbers is reexamined.

Collective motion in the nuclear shell model II. The introduction of intrinsic wave-functions

1958 ◽  
Vol 245 (1243) ◽  
pp. 562-581 ◽  
Keyword(s):  
Collective Motion ◽  
Permanent Deformation ◽  
Integral Form ◽  
Wave Functions ◽  
Quadrupole Moments ◽  
Rotational Model ◽  
Quantum Numbers ◽  
The Hill ◽  
Nuclear Shell

The wave functions for a number of particles in a degenerate oscillator level, classified in part I according to irreducible representations of the group U 3 , are expressed as integrals of the Hill-Wheeler type over intrinsic states. The rotational band structure which appeared in the classification is now understood, since all states of a band are shown to involve the same intrinsic state in the integral. It is possible to use the quantum number K of the intrinsic states as an additional label for the final wave functions, thus distinguishing states which, in the classification of part I, had the same values for all other quantum numbers used. The integral form for the wave functions enables simple expressions to be obtained for the quadrupole moments which resemble those of the rotational model for a permanent deformation.

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