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Articles 1 - 3 of 3
Full-Text Articles in Physics
The Entropic Dynamics Approach To The Paradigmatic Quantum Mechanical Phenomena, Susan Difranzo
The Entropic Dynamics Approach To The Paradigmatic Quantum Mechanical Phenomena, Susan Difranzo
Legacy Theses & Dissertations (2009 - 2024)
Standard Quantum Mechanics, although successful in terms of calculating and predicting
The N=1 Singlet Vertex Superalgebra Sm(1), Scott Richey Sidoli
The N=1 Singlet Vertex Superalgebra Sm(1), Scott Richey Sidoli
Legacy Theses & Dissertations (2009 - 2024)
In this work we study the vertex operator superalgebra known as the singlet vertex operator superalgebra, denoted $\overline{SM(1)}$. We are particularly interested in the number theoretic properties of the characters, and supercharacters, of irreducible modules of $\overline{SM(1)}$ as modules over the Neveu-Schwarz and Ramond Lie superalgebras, denoted $\mathfrak{ns}$ and $\mathfrak{R}$, respectively. These characters occur as modular-like forms, namely false and mock theta functions. The $S$- and $T$- transformations are computed and we demonstrate modular invariance of the vector space spanned by these characters and supercharacters. We use a continuous version of the Verlinde formula, introduced by Creutzig and Milas, to …
The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette
The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette
Legacy Theses & Dissertations (2009 - 2024)
This thesis synthesizes probability and entropic inference with Quantum Mechanics and quantum measurement [1-6]. It is shown that the standard and quantum relative entropies are tools \emph{designed} for the purpose of updating probability distributions and density matrices, respectively [1]. The derivation of the standard and quantum relative entropy are completed in tandem following the same inferential principles and design criteria. This provides the first design derivation of the quantum relative entropy while also reducing the number of required design criteria to two.