Arşiv ve Dokümantasyon Merkezi
Dijital Arşivi

Bound state solutions of the Schrödinger equation for potentials with dirac delta functions

Basit öğe kaydını göster

dc.contributor Ph.D. Program in Physics.
dc.contributor.advisor Demiralp, Ersan.
dc.contributor.author Uncu, Haydar.
dc.date.accessioned 2023-03-16T10:46:01Z
dc.date.available 2023-03-16T10:46:01Z
dc.date.issued 2007.
dc.identifier.other PHYS 2007 U63 PhD
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/13753
dc.description.abstract A general method for the bound state solutions of the SchrÄodinger equation for analytically solvable potentials with any ¯nite number of Dirac delta functions is intro- duced for n-dimensional systems. Then, the potentials with Dirac delta functions are used to model some physical systems. The eigenvalue equations for harmonic and linear potentials with a ¯nite number of Dirac delta functions located randomly are derived for one dimensional systems. For the latter potential, the behavior of the eigenvalues of the ground and the ¯rst excited states for various strengths and locations of Dirac delta functions is investigated. The eigenvalues and the number of bound states for a PT -symmetric system with two Dirac delta functions are studied. In case of a contact interaction, to get the changes from a liner potential, the changes in the masses of s states for charmonium is presented. It is also shown that the Fermi energy of a trian- gular well changes if there is an impurity in the well. By describing a dimple potential with a Dirac delta function, it is shown that tight and deep dimple potentials can in- crease the condensate fraction and critical temperature of a Bose-Einstein condensate. We conclude that addition of the point interactions which can be modelled by Dirac delta functions changes the properties of the physical systems considerably.
dc.format.extent 30cm.
dc.publisher Thesis (Ph.D.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007.
dc.relation Includes appendices.
dc.relation Includes appendices.
dc.subject.lcsh Schrödinger equation.
dc.subject.lcsh Dirac equation.
dc.title Bound state solutions of the Schrödinger equation for potentials with dirac delta functions
dc.format.pages xii, 99 leaves;


Bu öğenin dosyaları

Bu öğe aşağıdaki koleksiyon(lar)da görünmektedir.

Basit öğe kaydını göster

Dijital Arşivde Ara


Göz at

Hesabım