Thesis (Master)--Izmir Institute of Technology, Matehamatics, Izmir, 2014Includes bibliographical references (leaves: 124-129)Text in English; Abstract: Turkish and Englishix, 153 leavesIn this thesis, the point interactions in quantum mechanics in the context of renormalization are reviewed. Some spectral properties for special configuration of the centers of point interactions are given in detail. Also, the isotropic harmonic oscillator with point interaction in one dimension and in two dimensions are discussed shortly
A system of a particle and a harmonic oscillator, which have pure point spectra if uncoupled, is kno...
A truncated basis is employed to analyze the influence of the point interaction on the eigenvalues a...
The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechani...
Models of point interactions that approximate the real interactions of atomic particles in quantum m...
This thesis explores the spectral properties of Schrödinger-type operators on variousdomains such as...
There is a four-parameter family of point interactions in one-dimensional quantum mechanics. They re...
We find the exact renormalization group flow of $U(2) $ family of point interactions in one-dimensio...
This paper deals with the theory of point interactions for the one-dimensional Schrödinger equation....
We consider a new type of point interaction in one-dimensional quantum mechanics. It is characterize...
We construct a family of hermitian potentials in 1D quantum mechanics that converges in the zero-ran...
We introduce and study a new 2-parameters model of relativistic point interactions in one dimension ...
Renormalization is one of the deepest ideas in physics, yet its exact implementation in any interest...
In this thesis, the main perturbation problems encountered in quantum mechanics have been studied.Si...
We consider a new type of point interaction in one-dimensional quantum mechanics. It is characterize...
Addendum: Dec. 15, 2020. The title of the first reference is: Phase Shift of exp[i delta(x)] for Bo...
A system of a particle and a harmonic oscillator, which have pure point spectra if uncoupled, is kno...
A truncated basis is employed to analyze the influence of the point interaction on the eigenvalues a...
The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechani...
Models of point interactions that approximate the real interactions of atomic particles in quantum m...
This thesis explores the spectral properties of Schrödinger-type operators on variousdomains such as...
There is a four-parameter family of point interactions in one-dimensional quantum mechanics. They re...
We find the exact renormalization group flow of $U(2) $ family of point interactions in one-dimensio...
This paper deals with the theory of point interactions for the one-dimensional Schrödinger equation....
We consider a new type of point interaction in one-dimensional quantum mechanics. It is characterize...
We construct a family of hermitian potentials in 1D quantum mechanics that converges in the zero-ran...
We introduce and study a new 2-parameters model of relativistic point interactions in one dimension ...
Renormalization is one of the deepest ideas in physics, yet its exact implementation in any interest...
In this thesis, the main perturbation problems encountered in quantum mechanics have been studied.Si...
We consider a new type of point interaction in one-dimensional quantum mechanics. It is characterize...
Addendum: Dec. 15, 2020. The title of the first reference is: Phase Shift of exp[i delta(x)] for Bo...
A system of a particle and a harmonic oscillator, which have pure point spectra if uncoupled, is kno...
A truncated basis is employed to analyze the influence of the point interaction on the eigenvalues a...
The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechani...