Výsledky vyhledávání - "Olofsson, Rikard"

Dissertation/ Thesis

A Primer to Categorical Symmetries and Their Application to QCD in Two Dimensions

Autor: Olofsson, Rikard

We introduce the formalism of categorical symmetries, and examine how these appear in quantum field theories. We discuss rational conformal field theories and their Verlinde lines, with the critical Ising model as an example. We introduce Wess Zumino

Externí odkaz: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-458657

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Dissertation/ Thesis

Supersymmetric Quantum Mechanics and the Gauss-Bonnet Theorem

Autor: Olofsson, Rikard

We introduce the formalism of supersymmetric quantum mechanics, including super-symmetry charges,Z2-graded Hilbert spaces, the chirality operator and the Wittenindex. We show that there is a one to one correspondence of fermions and bosons forenergie

Externí odkaz: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355985

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Dissertation/ Thesis

Problems in Number Theory related to Mathematical Physics

Autor: Olofsson, Rikard

This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(

Externí odkaz: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9514

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Report

Eigenvalue bounds for Schr\'odinger operators with a homogeneous magnetic field

Autor: Frank, Rupert L., Olofsson, Rikard

Publikováno v: Lett. Math. Phys. 97 (2011), no. 3, 227 - 241

We prove Lieb-Thirring inequalities for Schr\"odinger operators with a homogeneous magnetic field in two and three space dimensions. The inequalities bound sums of eigenvalues by a semi-classical approximation which depends on the strength of the mag

Externí odkaz: http://arxiv.org/abs/1102.0329

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Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps

Autor: Olofsson, Rikard

This paper concerns the behavior of eigenfunctions of quantized cat maps and in particular their supremum norm. We observe that for composite integer values of N, the inverse of Planck's constant, some of the desymmetrized eigenfunctions have very sm

Externí odkaz: http://arxiv.org/abs/0711.4509

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Local Riemann Hypothesis for complex numbers

Autor: Olofsson, Rikard

In this paper a special class of local zeta functions is studied. The main theorem states that the functions have all zeros on the line Re (s)=1/2. This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin tra

Externí odkaz: http://arxiv.org/abs/math/0605063

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