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Magnetic Phases Of Large-Spin Ultracold Bosons: Quantum Dimer Models And Spin Liquid Phases, Todd C. Rutkowski

Graduate Dissertations and Theses

This thesis investigates the plausibility of producing a quantum spin liquid (QSL) with ultracold bosonic atoms optically confined to the Mott insulating state. QSLs have received a great deal of attention for being an antiferromagnetic groundstate with many exotic properties, including the absence of local order, long-range entanglement, and fractionalized excitations. However, the identification and characterization of these phases in solid state systems remains a great challenge. Here we outline an alternate route to uncovering the QSL phase, which from the nature of spin angular momentum for ultracold atoms encounters many properties unique to these systems along the way. This …

Extension Of Belyaev-Zelivinski Method Of Rotation As Intrinsic Nuclear Excitation, Jeffrey W. Gray

Graduate Dissertations and Theses

The method of Belyaev and Zelevinski for handling the rotational collective states of deformed nuclei has been extended. It is shown how a [J(J+1)]² term naturally occurs in the energy spectrum of a rotational band for even-even nuclei. This is accomplished by modifying the assumption that Belyaev and Zelevinski imposed on their |n> states. This leads to a definite relationship between the coefficient of the J(J+1) and [J(J+1)]² terms in the energy spectrum. This technique is applied to a single isolated j-level and to an arbitrary level scheme.

Nuclear Charge Distribution Of Tm¹⁶⁹, Eugene Clark Deci

Graduate Dissertations and Theses

The distribution of electrical charge in the nucleus of Tm¹⁶⁹ was determined by measurement of the energies of the X rays of muonic atoms of Tm¹⁶⁹.

The values of the energies of the K X rays and the L X rays were calculated from a model assuming an anisotropic Fermi distribution of charge, and compared to the treasured values. The assumed distribution is a function of three parameters; a half radius, a surface thickness, and a measure of the anisotropy.

The values of the parameters were varied to find the values that gave the best agreement with …

The Weakly Coupled Polaron, Kou-Ying Yang Moravan

Graduate Dissertations and Theses

The Green's Function technique has been used to investigate the properties of weakly coupled longitudinal optical polarons. By taking into consideration the contribution of the multi-phonon and the phonon-cross-exchange diagrams in the self-energy, a vertex correction has been made to the lowest order diagram. The real part and the imaginary part of the self-energy are obtained. The dispersion relationship obtained by this approximation gives the ground state energy which is lower than the upper bound obtained from the variational method. Also, the spectral weight function for several momentum values has been calculated. It shows that the quasi-particle description is good …

Nuclear Charge Distribution Of ¹⁸¹Ta, David Edward Mcloughlin

Graduate Dissertations and Theses

The energies of the x rays emitted by the muonic atom of ¹⁸¹Ta were measured by a Ge(Li) solid state detector. From the clustering of these gamma rays it was possible to identify the transitions of the muonic atom which produced them. When a form is chosen for the nuclear charge distribution, a theoretical spectrum can be calculated…The parameters ��, c, and t can then be chosen to make the calculated spectrum coincide for the 3D-2P, and 2P-1S transitions with the observed spectrum.

The first part of the calculation was performed in the following way. The monopole part of …