The total number of states of any system is produced by all the possible interactions of the particles in that system. It follows therefore that there is need to obtain the states of the system before a model can be applied to it. Recently we developed a simple method to obtain the electronic states in the two electron lattice systems in all the three dimensions. This method encompasses rules formulated from a detailed study of each dimension. In the current study, the method will be extended to bosons which do not obey the Pauli exclusion principle like the electrons so that their interactions are different from those of the latter. The need for the extension of the method to bosons is also discussed in the work. Keywords: lattices, boso...
The equivalence between the bosons and collective fermions pair states is discussed. The microscopic...
The Bose-Hubbard model describes the physics of a system of bosonic ultracold atoms in an optical la...
We theoretically and numerically study the Bose-Hubbard model for two bosons in a one-dimensional op...
In this dissertation I present results for lattice boson systems based on quantum Monte Carlo simula...
A novel strong coupling expansion method to calculate two-particle spectra of quantum lattice models...
The central idea of this review k to consider quantum field theory models relevant for particle phys...
The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system ...
. A boson system on Z d ; d 2; is considered, with the Hamiltonian H = \Gamma1=2 X y a + y (...
The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discuss...
This is a mathematical study of certain aspects of the interacting electron system in very high perp...
This thesis represents a body of work investigating the physics of strongly interacting quantum part...
This chapter gives an introduction to the physics of interacting quantum systems, both bosonic and f...
I declare that I have done this thesis on my own and without any aids other than the declared ones. ...
We study dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions an...
In this thesis the method of bosonization of fermionic many-body systems in any number of dimensions...
The equivalence between the bosons and collective fermions pair states is discussed. The microscopic...
The Bose-Hubbard model describes the physics of a system of bosonic ultracold atoms in an optical la...
We theoretically and numerically study the Bose-Hubbard model for two bosons in a one-dimensional op...
In this dissertation I present results for lattice boson systems based on quantum Monte Carlo simula...
A novel strong coupling expansion method to calculate two-particle spectra of quantum lattice models...
The central idea of this review k to consider quantum field theory models relevant for particle phys...
The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system ...
. A boson system on Z d ; d 2; is considered, with the Hamiltonian H = \Gamma1=2 X y a + y (...
The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discuss...
This is a mathematical study of certain aspects of the interacting electron system in very high perp...
This thesis represents a body of work investigating the physics of strongly interacting quantum part...
This chapter gives an introduction to the physics of interacting quantum systems, both bosonic and f...
I declare that I have done this thesis on my own and without any aids other than the declared ones. ...
We study dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions an...
In this thesis the method of bosonization of fermionic many-body systems in any number of dimensions...
The equivalence between the bosons and collective fermions pair states is discussed. The microscopic...
The Bose-Hubbard model describes the physics of a system of bosonic ultracold atoms in an optical la...
We theoretically and numerically study the Bose-Hubbard model for two bosons in a one-dimensional op...