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Cover image for Many-body Quantum Tunneling of Ultracold Bosonic Gases: Quantum Phase Transitions, Bosonic Josephson Junctions, and Mott Switch Atomtronics

1.

Many-body Quantum Tunneling of Ultracold Bosonic Gases: Quantum Phase Transitions, Bosonic Josephson Junctions, and Mott Switch Atomtronics

by

McLain, Marie Anne Patton, author.

http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10822490

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dynamics in the number density, such as particle-hole and soliton formation. Moreover, g (2) correlations

Cover image for Realizing Fractional Derivatives of Elementary and Composite Functions through the Generalized Euler's Integral Transform and Integer Derivative Series: Building the Mathematical Framework to Model the Fractional Schrödinger Equation in Fractional Spacetime

2.

Realizing Fractional Derivatives of Elementary and Composite Functions through the Generalized Euler's Integral Transform and Integer Derivative Series: Building the Mathematical Framework to Model the Fractional Schrödinger Equation in Fractional Spacetime

by

Gladkina, Anastasia, author.

http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10822830

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describe the evolution of a quantum particle in a particular class of nonlocal potentials, where to realize

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