Study of Single Crystals of Magnesium and Zinc by Positron Annihilation

1972 ◽  
Vol 50 (20) ◽  
pp. 2520-2522 ◽  
Author(s):  
E. H. Becker ◽  
E. M. D. Senicki ◽  
A. G. Gould ◽  
B. G. Hogg
Keyword(s):  
Wave Function ◽  
Single Crystals ◽  
Positron Annihilation ◽  
Enhancement Factor ◽  
Wave Functions ◽  
Theoretical Predictions ◽  
Positron Wave Function ◽  
Electronic Wave Functions ◽  
Simple Picture ◽  
Theory And Experiment

A point geometry positron annihilation angular correlation apparatus has been used to study oriented single crystals of magnesium and zinc. The results are compared with the theoretical predictions obtained from a simple picture of the electronic wave functions combined with two models for the positron wave function. The agreement between theory and experiment is considerably improved in the case of magnesium by the use of an enhancement factor.

Electronic wave functions II. A calculation for the ground state of the beryllium atom

1950 ◽  
Vol 201 (1064) ◽  
pp. 125-137 ◽  
Keyword(s):  
Wave Function ◽  
Variational Method ◽  
Ground State ◽  
Accurate Result ◽  
Energy Criterion ◽  
Wave Functions ◽  
Exponential Functions ◽  
Approximate Wave Function ◽  
Electronic Wave Functions ◽  
Approximate Wave

An approximate wave function expressed in terms of exponential functions, spherical harmonics, etc., with numerical coefficients has been calculated for the ground state of the beryllium atom . Judged by the energy criterion this gives a more accurate result than the Hartree result which was the best previously known. This has been calculated as a trial of a fresh method of calculating atomic wave functions. A linear combination of Slater determinants is treated by the variational method. The results suggest that this will provide a more powerful and convenient method than has previously been available for atoms with more than two electrons.

MOMENTUM DISTRIBUTIONS OF TWO PHOTON ANNIHILATING POSITRON–ELECTRON PAIRS IN HEXANE AND DECANE

1967 ◽  
Vol 45 (12) ◽  
pp. 3895-3900 ◽  
Author(s):  
S. Y. Chuang ◽  
B. G. Hogg
Keyword(s):  
Wave Function ◽  
Positron Annihilation ◽  
Angular Correlation ◽  
High Precision ◽  
Atomic Carbon ◽  
Electron Pairs ◽  
Two Photon ◽  
Momentum Distributions ◽  
Positron Wave Function

Momentum distributions are calculated for electrons in the C–C and C–H bonds in hydrocarbons, using analytic SCF functions for atomic carbon orbitals and Heitler–London-type functions for the two paired electrons in the C–C and C–H bonds. The positron wave function is assumed to be a constant. The computed momentum distributions are then compared with high-precision experimental distributions obtained from positron-annihilation angular correlation experiments.

Electronic wave functions X. A calculation of eight variational poly-detor wave functions for boron and carbon

1953 ◽  
Vol 217 (1129) ◽  
pp. 235-251 ◽  
Keyword(s):  
Wave Function ◽  
Spectral Analysis ◽  
Quantitative Data ◽  
Root Function ◽  
Wave Functions ◽  
Electronic Wave ◽  
Slater Function ◽  
Electronic Wave Functions

The eight wave functions which have been calculated show lower calculated energies than any others previously reported for the relevant P 2 , P 4 , D 2 states of boron and the P 3 , D 1 , S 1 , S 5 , D 3 states of carbon. Thus according to the generally accepted criterion, they are the most accurate approximations to the true wave functions yet available. The calculations were performed according to the general principles described earlier in this series and the analysis performed by means of relations established in earlier theorems. In addition to the provision of new quantitative data the results are interesting, since they show in a qualitative way the relative amounts by which functions of types different from the root function occur in the wave function. The root function, as it is convenient to call the dominant co-detor function, which has been found satisfactory in each case corresponds to the Slater function previously assigned on the basis of spectral analysis.

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Wave Functions ◽  
Main Task ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Relative Wave Function ◽  
New Equation ◽  
The Universe

Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

Positron Annihilation with Core Electrons in the Noble Metals

1974 ◽  
Vol 52 (4) ◽  
pp. 336-339 ◽  
Author(s):  
E. H. Becker ◽  
A. G. Gould ◽  
E. M. D. Senicki ◽  
B. G. Hogg
Keyword(s):  
Simple Model ◽  
Fermi Surface ◽  
Single Crystals ◽  
Positron Annihilation ◽  
Angular Correlation ◽  
Noble Metals ◽  
Correlation Data ◽  
Core Electrons

Experimental angular correlation curves for identically oriented single crystals of copper, silver, and gold have been obtained using "a point geometry" apparatus. The differences between these angular correlation data are compared to the differences predicted using a simple model of the Fermi surface combined with calculations of the theoretical core distributions.

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