Multidimensional quantum tunnelling formulation of oxygen-16 and uranium-238 reaction

Download

index.pdf

Date

2004

Author

Ataol, Murat Tamer

Metadata

Show full item record

Item Usage Stats

132
views

73
downloads

Multidimensional quantum tunnelling is an important tool that is used in many areas of physics and chemistry. Sub-barrier fusion reactions of heavy-ions are governed by quantum tunnelling. However, the complexity of the structures of heavy-ions does not allow us to use simple one-dimensional tunnelling equations to and the tunnelling probabilities. Instead of this one should consider all the degrees of freedom which affect the phenomenon and accordingly the intrinsic structure or the deformation of the nuclei must be taken into account in the modelling of heavy-ion fusion. These extra degrees of freedom result in a coupling potential term in the Schrodinger equation of the fusing system. In this thesis 16O + 238 U system is considered. Only the rotational deformation of Uranium is assumed and the coupling potential term is calculated for this system by using two diffrent potential types, namely the Woods-Saxon potential and the double folding potential. Using this term in the Schrodinger equation fusion probability and theoretical cross section are calculated. A discussion that addresses then necessity of multidimensional formulation is given. Besides this point the effects of the choice of the potential type are shown.

Subject Keywords

Quantum theory.

URI

http://etd.lib.metu.edu.tr/upload/2/12605031/index.pdf
https://hdl.handle.net/11511/14147

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Nonlinear optical properties of semiconductor heterostructures Yıldırım, Hasan; Tomak, Mehmet; Department of Physics (2006) The nonlinear optical properties of semiconductor heterostructures, such as GaAsAl/GaAs alloys, are studied with analytic and numerical methods on the basis of quantum mechanics. Particularly, second and third-order nonlinear optical properties of quantum wells described by the various types of confining potentials are considered within the density matrix formalism. We consider a Pöschl-Teller type potential which has been rarely considered in this area. It has a tunable asymmetry parameter, making it a goo...
Super symmetric quantum mechanics applications on some diatomic potentials Kaya, Murat; Sever, Ramazan; Department of Physics (2015) One dimensional molecular potentials are studied by solving the Schrödinger Equation for some well known potentials, such as the deformed Morse, Eckart and the Hua potentials. Parametric generalization of Hamiltonian Hierarchy is introduced. Nikiforov-Uvarov method and SUSYQM with Hamiltonian Hierarchy method is used in the calculations to get energy eigenvalues and the corresponding wave functions exactly.
Comparison of multi-cavity arrays for on-chip WDM applications Erdinç, Havva; Kocaman, Serdar; Department of Electrical and Electronics Engineering (2019) Researches about the interaction of single atoms with electromagnetic field create the foundation of cavity quantum electrodynamics (CQED) technology. Microlasers, photon bandgap structures and quantum dot structures in cavities are the initial examples of Cavity Quantum Electrodynamics. This thesis is focused on the comparison of multi-cavity arrays for on-chip wavelength division multiplexing (WDM) applications in the weak coupling regime. Firstly, single QD embedded cavity (cavity QD EIT) and cavity-cavi...
Quantum mechanical calculation of nitrous oxide decomposition on transition metals

Karaöz, Muzaffer Kaan; Önal, Işık; Department of Chemical Engineering (2007)

Nitrous oxide decomposition on Ag51, Au51, Pt22, Rh51 and Ir51 clusters representing (111) surface were studied quantum mechanically by using the method of ONIOM with high layer DFT region and low layer of molecular mechanics region utilizing universal force field (UFF). The basis set employed in the DFT calculations is the Los Alamos LANL2DZ effective core pseudo-potentials (ECP) for silver, gold, platinum, rhodium and iridium and 3-21G** for nitrogen, oxygen and hydrogen. Nitrous oxide was decomposed on t...
Spontaneous Lorentz violation: the case of infrared QED Balachandran, A. P.; Kürkcüoğlu, Seçkin; de Queiroz, A. R.; VAİDYA, SACHİN (2015-02-24) It is by now clear that the infrared sector of quantum electrodynamics (QED) has an intriguingly complex structure. Based on earlier pioneering work on this subject, two of us recently proposed a simple modification of QED by constructing a generalization of the U(1) charge group of QED to the "Sky" group incorporating the well-known spontaneous Lorentz violation due to infrared photons, but still compatible in particular with locality (Balachandran and Vaidya, Eur Phys J Plus 128:118, 2013). It was shown t...

Citation Formats

M. T. Ataol, “Multidimensional quantum tunnelling formulation of oxygen-16 and uranium-238 reaction,” M.S. - Master of Science, Middle East Technical University, 2004.