Sökning: "lattices"
Visar resultat 1 - 5 av 111 avhandlingar innehållade ordet lattices.
1. A quantum for a quantum : Quantum simulators in exotic lattices
Sammanfattning : This thesis centers on how to use exotic lattices in different ways to design potential quantum simulators. These exotic lattices are either real physical objects in the form of ultra cold atoms in bipartite optical lattice systems or lattice models revealed in state space. LÄS MER
2. Limit Theorems for Lattices and L-functions
Sammanfattning : This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper I, we follow Södergren and examine the asymptotic joint distribution of a collection of random variables arising as geometric attributes of the N = N(n) shortest non-zero lattice vectors (up to sign) in a random unimodular lattice in n-dimensional Euclidean space, as the dimension n tends to infinity: Normalizations of the lengths of these vectors, and normalizations of the angles between them. LÄS MER
3. Clutters and atomistic lattices
Sammanfattning : {1,…,m}, (aπ(1) ˅...˅aπ(1)) ˄aπ(i+1) =0 for i=1 ,…,m-1. LÄS MER
4. Distance Functions and Image Processing on Point-Lattices : with focus on the 3D face- and body-centered cubic grids
Sammanfattning : There are many imaging techniques that generate three-dimensional volume images today. With higher precision in the image acquisition equipment, storing and processing these images require increasing amount of data processing capacity. Traditionally, three-dimensional images are represented by cubic (or cuboid) picture elements on a cubic grid. LÄS MER
5. Gaps, Traps and Lattices - Correlations in Small Quantum Systems
Sammanfattning : This dissertation investigates properties of two-dimensional many-body systems. Studies are performed using the Spin-Density Functional Theory with the Local Spin-Density Approximation, and numerical exact diagonalization. LÄS MER