Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Fock space"”.
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Efficient Fock Space Configuration Interaction Approaches For Large Strongly Correlated Systems
… In this work, we discuss the application of Fock-space CI approaches to large transition metal complexes. First, we introduce a novel formalism which combines the spin-flip (SF), ioniza- tion potential (IP), and electron affinity (EA) approaches. This redox spin-flip approach, the restricted …
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Combinatorics of ribbon tableaux
… operators called ribbon Schur operators on the space of partitions. I develop the theory of ribbon functions using these operators in an elementary manner. In particular, I deduce their symmetry and recover a theorem of Kashiwara, Miwa and Stern concerning the Fock space F of the quantum affine …
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Quantum Wiener chaos
… of quantum Wiener integrals on the bosonic Fock space. We study multiple quantum Wiener integrals as an algebra of unbounded operators, investigating its properties, including closedness, common domains and multiplication formulas. We show the applications of the new formalism by providing …
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Q-systems and generalizations in representation theory
… $\widehat{GL_n}$ on $n$-component fermionic Fock space. In the simplest case, $n=2$, the tau-functions are equal to Hankel determinants and applying the famous Desnanot-Jacobi identity, one can see that they satisfy a $Q$-system. Since $Q$-systems are of interest in many areas of mathematics, …
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Multivariable Interpolation Problems
… for Schur-class multipliers on the Drury-Arveson space and for the noncommutative setting, we discuss interpolation problems for Schur-class multipliers on Fock space. We apply the Krein-space geometry approach (also known as the Grassmannian Approach). To implement this approach J-versions of …
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Judd operator methods in superspace: application to the thermal single particle Green function for the Hubbard dimer
… the Liouville operator, in an abstract Hilbert space. This abstract Hilbert space (the "superspace") contains elements f, g, etc. which are products of an odd number of fermion creation and/or annihilation operators. These operators may also be expressed as linear combinations of a set of …
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Dynamical C*-Algebras and Quadratic Perturbations for Fermions
… Fermionic fields on globally hyperbolic spacetimes in the context of dynamical C*-algebras. Our focus is on a particular class of interactions, that of kinetic perturbations; we provide their definition and we show that these induce, in the fermionic dynamical C*-algebra, symbols that …
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The QED beta-Function: A First Principles Derivation
… with the formulation of quantum fields in Fock space we will discuss the formalism around free and interacting quantum field theories, ultimately discussing renormalization, QED, the QED beta-function and its implications.
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Lifting Module Maps Between Different Noncommutative Domain Algebras
… commutant lifting theorem relating to the full Fock space. Popescu then refined the approach by introducing domain algebras. While Arias and Popescu focused on module maps from one noncommutative domain algebra to itself, we present a unitarily equivalent representation which allows us to easily …
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On the construction of macroscopically local relativistic quantum theories
… quantum theory defined on the representation space of an irreducible representation of a higher symmetry group containing the Poincare group is discussed. It is concluded that the higher symmetry is, in fact, of little use for this interpretation. This .leads in a natural way to the problem of …
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Quantum random walks
… quantum stochastic cocycles defined on a Bosonic Fock space. We prove a quantum analogue of the Donsker invariance principle by invoking the so-called semigroup representation of quantum stochastic cocycles. In contrast to similar results by other authors our proof is relatively elementary. We …
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Dynamics in quantum spin glass systems
… the isotropic Heisenberg spin glass both on the Fock space (HSGF) and, exploiting the Popov-Fedotov trick, on the spin space (HSGS). The critical temperatures of the paramagnet to spin glass phase transitions are determined accurately. Compared to the spin-static results, the dynamics causes …