Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/135445
Title: MATHEMATICAL THEORY AND NUMERICAL METHODS FOR BOSE-EINSTEIN CONDENSATION WITH HIGHER ORDER INTERACTIONS
Authors: RUAN XINRAN
Keywords: modified Gross-Pitaevskii equation, dimension reduction, ground state, dynamics, fundamental gap, asymptotic approximation
Issue Date: 13-Jan-2017
Citation: RUAN XINRAN (2017-01-13). MATHEMATICAL THEORY AND NUMERICAL METHODS FOR BOSE-EINSTEIN CONDENSATION WITH HIGHER ORDER INTERACTIONS. ScholarBank@NUS Repository.
Abstract: The modified Gross-Pitaevskii equation is studied in a systematical way, both theoretically and numerically. Problems such as the dimension reduction, existence and uniqueness of the ground state, generalized or new computation schemes for computing ground states and dynamics are included in the thesis. Besides, I also studied the fundamental gap problem for the Gross-Pitaevskii equation and the ground state approximations of the nonlinear Schrödinger equation, which consists a minor part of my thesis.
URI: http://scholarbank.nus.edu.sg/handle/10635/135445
Appears in Collections:Ph.D Theses (Open)

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