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Contents

Abstract                                                                             ii

Acknowledgments                                                         iii

List of Figures                                                                     vii

List of Tables                                                                      viii

1 Introduction                                                                  1

2 Numerical Studies Of Dipolar Condensates With Split-Step Fourier Method 4

2.1 Introduction to split-step Fourier method................... 5

2.1.1   Split-step scheme........................... 5

2.1.2  SolvingGross-Pitaevskiiequationinimaginarytime........ 7

2.2 Application to Dipolar Bose-Einstein Condensates ............. 8

2.2.1  Dipolarcondensatesrtheoreticalformalism.............. 8

2.2.2  A numerical example......................... 11

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