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Full-Text Articles in Physical Sciences and Mathematics
Quantum Mechanics And Dynamical Models For Finite Unlabeled Simple Graphs, Nathan M. Lewis
Quantum Mechanics And Dynamical Models For Finite Unlabeled Simple Graphs, Nathan M. Lewis
Master's Theses
This thesis constructs quantum mechanical theories of finite simple graphs for both labeled and unlabeled graphs.These theories may provide a description for discrete spacetime in a quantum gravity theory. Finite simple graphs and their properties are introduced. The first and second quantization of the standard quantum mechanics of particle systems are reviewed. A quantum mechanical theory of graphs similar to first quantization of standard quantum mechanics is developed via a correspondence of graph edges to particles in particle systems. An algorithm for constructing quantum states of graphs which is independent of graph vertex labeling is developed. It builds antisymmetric graphstates …
Bosons In Anti De Sitter Spacetime, Thi Khanh Linh Pham
Bosons In Anti De Sitter Spacetime, Thi Khanh Linh Pham
Master's Theses
I am extremely grateful to Dr. Kassahun Betre for his support and guidance throughout my thesis journey. His wisdom, knowledge, and encouragement have been invaluable to me. His willingness to take me on making this project and the collaborative friendship is the highlight of my master’s program. Many thanks to Dr. Curtis Asplund and Dr. Ehsan Khatami for participating on my committee and with regard to their valuable feedback on my thesis draft, ensuring the completion of this work. Finally, I am grateful to my family for their unwavering love and all the support and absolute patience over the years …