Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
THE NONLINEAR COLD PLASMA-BUNCHED BEAM INTERACTION AND THE PLASMA WAKEFIELD ACCELERATOR CASE
Date
1993-02-01
Author
BILIKMEN, S
NAZIH, RM
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
74
views
0
downloads
Cite This
In this paper, a nonlinear analytical solution for a cold plasma-bunched beam system based on the Hamiltonian formalism where alpha = n(b)/n0 and beta(phi) = upsilon(phi)/c have been taken as parameters matching between zero and unity is given. The oscillation limiting energies, frequencies and transformer ratios have been carried out in general for both the one-dimensional and the case where a small transverse component of motion is included. The plasma wakefield accelerator has been treated as a special case.
Subject Keywords
Mathematical Physics
,
Atomic and Molecular Physics, and Optics
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/65935
Journal
PHYSICA SCRIPTA
DOI
https://doi.org/10.1088/0031-8949/47/2/013
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
The Dirac-Yukawa problem in view of pseudospin symmetry
AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01)
An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r(2), to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.
Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
IKHDAİR, SAMEER; Sever, Ramazan (IOP Publishing, 2009-03-01)
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solution within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector Hulthen potentials in any arbitrary D dimension and orbital angular momentum quantum numbers l. The Nikiforov-Uvarov (NU) method is used in the calculations. The relativistic real energy levels and corresponding eigenfunctions for the bound states with different screening pa...
Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method
Aydogdu, Oktay; Sever, Ramazan (IOP Publishing, 2009-07-01)
We investigate the energy spectra and corresponding wave functions of the Dirac equation for pseudoharmonic potential with spin and pseudospin symmetry. To obtain an analytical solution of the Dirac equation, we consider the Nikiforov-Uvarov method in the calculations. For any spin-orbit coupling term kappa, we find the closed forms of the energy eigenvalues and also obtain the radial wave functions in the spin and pseudospin symmetry limits.
An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
Akçay, Hüseyin; Sever, Ramazan (IOP Publishing, 2014-01-01)
Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.
Covariant Bethe-Salpeter equation for heavy Q(Q)over-bar bound states
Zakout, I; Sever, Ramazan (IOP Publishing, 1997-02-01)
We investigate a numerical solution of the covariant Bethe-Salpeter equation in the Euclidean space for heavy meson with gluon ladder in the Landau gauge and scalar confinement. A new approach is presented to solve the non-linear eigenvalue problem with suitable bases and fictitious eigenvalue parameters. We obtain unphysical states when the equation is solved for timelike spectra. We also present how to cover the singularity of a free quark propagator and Schwinger-Dyson equation when extrapolated to the ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. BILIKMEN and R. NAZIH, “THE NONLINEAR COLD PLASMA-BUNCHED BEAM INTERACTION AND THE PLASMA WAKEFIELD ACCELERATOR CASE,”
PHYSICA SCRIPTA
, pp. 204–208, 1993, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65935.