Energy levels of a charged particle in the field of a spherically symmetric uniform charge distribution

1975 ◽  
Vol 43 (2) ◽  
pp. 168-172 ◽  
Author(s):  
J. Zablotney
Keyword(s):  
Charged Particle ◽  
Charge Distribution ◽  
Energy Levels ◽  
Spherically Symmetric ◽  
Uniform Charge Distribution

On the Cherenkov radiation from extended charge distributions

2000 ◽  
Vol 77 (10) ◽  
pp. 775-784 ◽  
Author(s):  
M Villavicencio ◽  
J L Jiménez ◽  
JAE Roa-Neri
Keyword(s):  
Explicit Expression ◽  
Charge Distribution ◽  
Constant Velocity ◽  
Cherenkov Radiation ◽  
Poynting Vector ◽  
Time Dependent ◽  
Spherically Symmetric ◽  
Charge Distributions ◽  
Extended Charge ◽  
A Charge

In this work the Cherenkov effect for extended charge distributions is analyzed using two different methods. In the first method, the Poynting vector is employed to determine the energy radiated, whereas in the second one, we apply the idea of generating time-dependent elemental dipoles, induced by a charge distribution moving with constant velocity, inside a material medium. An explicit expression for the Cherenkov radiation generated by some different kinds of spherically symmetric charge, travelling inside a medium, is obtained.PACS Nos.: 03.50.De, 41.20.Bt, 41.60.-m, 41.60.Bq

scholarly journals Field of a charged particle in the presence of scalar meson fields in general relativity

1983 ◽  
Vol 24 (4) ◽  
pp. 461-465 ◽  
Author(s):  
D. R. K. Reddy ◽  
V. U. M. Rao
Keyword(s):  
Charged Particle ◽  
Point Charge ◽  
Scalar Meson ◽  
Scalar Fields ◽  
Flat Space ◽  
Spherically Symmetric ◽  
Conformally Flat ◽  
Field Equations ◽  
Conformally Flat Metric ◽  
Scalar Meson Field

AbstractField equations for coupled gravitational and zero mass scalar fields in the presence of a point charge are obtained with the aid of a static spherically symmetric conformally flat metric. A closed from exact solution of the field equations is presented which may be considered as describing the field of a charged particle at the origin surrounded by the scalar meson field in a flat space-time.

Factorization method for exact solution of the non-central modified Killingbeck potential plus a ring-shaped-like potential

2019 ◽  
Vol 34 (10) ◽  
pp. 1950072 ◽  
Author(s):  
B. Tchana Mbadjoun ◽  
J. M. Ema’a Ema’a ◽  
Jean Yomi ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
...  
Keyword(s):  
Exact Solution ◽  
Potential Problem ◽  
Energy Levels ◽  
Factorization Method ◽  
Spherically Symmetric ◽  
Laguerre Function ◽  
Radial Part ◽  
Raising And Lowering Operators ◽  
Structure Of Molecules ◽  
Lowering Operators

In this paper, we study the Schrödinger equation with non-central modified Killingbeck potential plus a ring-shaped-like potential problem, which is not spherically symmetric. The factorization method is used to solve the hypergeometric equation types which lead to solutions with the associate Laguerre function for the radial part and Jacobi polynomial for the polar part. We introduce the raising and lowering operators to calculate the energies eigenvalues, which show that the lack of spherical symmetry removes the degeneracy of second quantum number m which is completely expected. These obtained energies are better to explain the superposition of the energy levels of the atoms in the crystalline structure of molecules.

Graded potential wells with quasi-uniform charge distribution

1990 ◽  
Vol 228 (1-3) ◽  
pp. 489-492 ◽  
Author(s):  
A. Wixforth ◽  
M. Sundaram ◽  
D. Donnelly ◽  
J.H. English ◽  
A.C. Gossard
Keyword(s):  
Charge Distribution ◽  
Potential Wells ◽  
Uniform Charge Distribution

A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation

1956 ◽  
Vol 9 (4) ◽  
pp. 407 ◽  
Author(s):  
LJ Tassie
Keyword(s):  
Charge Distribution ◽  
Liquid Drop ◽  
Nuclear Charge ◽  
Electron Excitation ◽  
Nuclear Shape ◽  
Liquid Drop Model ◽  
Nuclear Charge Distribution ◽  
Shape Oscillations ◽  
Set Up ◽  
Uniform Charge Distribution

A model of nuclear shape oscillations is set up for an arbitrary nuclear charge distribution. For a uniform charge distribution the model reduces to the liquid drop model. The model is used to consider ?-transitions and electron excitation of nuclei. Explicit expressions are obtained for four charge distributions: (a) uniform, (b) Gaussian, (c) exponential, (d) uniform with Gaussian "edge". The theory predicts a relative angular distribution of electrons scattered by the 4�43 MeV level of 12C in agreement with the experimental results of Fregeau and Hofstadter (1955), but gives a scattered intensity seven times too large.

scholarly journals THE DIRAC PARTICLE ON CENTRAL BACKGROUNDS AND THE ANTI-DE SITTER OSCILLATOR

1998 ◽  
Vol 13 (36) ◽  
pp. 2923-2935 ◽  
Author(s):  
ION. COTĂESCU
Keyword(s):  
Dirac Equation ◽  
Special Relativity ◽  
Scalar Product ◽  
Energy Levels ◽  
Specific Form ◽  
Dirac Particle ◽  
Spherically Symmetric ◽  
Spherical Coordinates ◽  
De Sitter

It is shown that, for spherically symmetric static backgrounds, a simple reduced Dirac equation can be obtained by using the Cartesian tetrad gauge in Cartesian holonomic coordinates. This equation is manifestly covariant under rotations so that the spherical coordinates can be separated in terms of angular spinors like in special relativity, obtaining a pair of radial equations and a specific form of the radial scalar product. As an example, we analytically solve the anti-de Sitter oscillator giving the formula of the energy levels and the form of the corresponding eigenspinors.

The multiple water-bag model for forced oscillations in a warm isotropic plasma

1975 ◽  
Vol 13 (1) ◽  
pp. 63-86 ◽  
Author(s):  
M. L. Noyer ◽  
M. Navet ◽  
M. R. Feix
Keyword(s):  
Electric Field ◽  
Radio Frequency ◽  
Charge Distribution ◽  
Diagnostic Tool ◽  
Space Research ◽  
Forced Oscillations ◽  
Isotropic Plasma ◽  
Bag Model ◽  
Grid Systems ◽  
Uniform Charge Distribution

It is shown that the multiple water-bag model, with both analytic and numerical properties, is fairly well suited to the study of forced oscillations launched by grid systems, for different geometries with possible non-uniform charge distribution, and for any distance within the range 0–100 Debye lengths.Freeston (1968) and Freeston & Malik (1971) compared measurements precisely with theoretical values of the electric field near a system of grids and antennas immersed in a plasma. Results provided a valuable diagnostic tool in space research; and radio-frequency probing was used successfully (Beghin & Debrie 1972; Chasseriaux, Debrie & Renard 1972).

Particle with a time-dependent mass in the Coulomb and the inverse quadratic potentials

2018 ◽  
Vol 15 (04) ◽  
pp. 1850057
Author(s):  
Badri Berrabah ◽  
Baya Bentag ◽  
Ahmida Bendjoudi
Keyword(s):  
Charged Particle ◽  
Green’S Function ◽  
Green's Function ◽  
Bound States ◽  
Energy Levels ◽  
Wave Functions ◽  
Time Dependent ◽  
Quadratic Potentials ◽  
Dependent Mass

The problem of a spineless charged particle with a time-dependent decaying mass interacting with a Coulomb and an inverse quadratic potentials is considered. The Green’s function is explicitly evaluated. The energy levels as well as the wave functions for the bound states are exactly determined.

The static spherically symmetric solutions in a unified field theory

1957 ◽  
Vol 53 (2) ◽  
pp. 489-493 ◽  
Author(s):  
John Moffat
Keyword(s):  
Charged Particle ◽  
Electric Energy ◽  
Gravitational Theory ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Field Equations ◽  
Schwarzschild Solution ◽  
Fundamental Properties ◽  
Unified Field ◽  
Conditions At Infinity

ABSTRACTA brief account is given of the fundamental properties of a new generalization ((1), (2)) of Einstein's gravitational theory. The field equations are then solved exactly for the case of a static spherically symmetric gravitational and electric field due to a charged particle at rest at the origin of the space-time coordinates. This solution provides information about the gravitational field produced by the electric energy surrounding a charged particle and yields the Coulomb potential field. The solution satisfies the required boundary conditions at infinity, and it reduces to the Schwarzschild solution of general relativity when the charge is zero.

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