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$Edge excitations of paired fractional quantum Hall states$

REFERENCES[82] N. P. Proukakis and B. Jackson, Finite-temperature models of BoseEinsteincondensation, J. Phys. B 41, 203002 (2008). 86[83] A. Griffin, Conserving and gapless approximations for an inhomogeneous Bosegas at finite temperatures, Phys. Rev. B 53, 9341 (1996). 86[84] V. I. Yukalov and H. Kleinert, Gapless Hartree-Fock-Bogoliubov approximationfor Bose gases, Phys. Rev. A 73, 063612 (2006). 87[85] Y. S. Kivshar and B. A. Malomed, Dynamics of solitons in nearly integrablesystems, Rev. Mod. Phys. 61, 763 (1989). 88, 106[86] M. Belić, N. Petrović, W.-P. Zhong, R.-H. Xie, and G. Chen, Analytical lightbullet solutions to the generalized (3 + 1)-dimensional nonlinear Schrödingerequation, Phys. Rev. Lett. 101, 123904 (2008). 88, 106[87] P. Muruganandam and S. K. Adhikari, Fortran programs for the timedependentGrossPitaevskii equation in a fully anisotropic trap, Comput. Phys.Commun. 180, 1888 (2009). 89, 116, 125, 137, 141[88] M. Naraschewski and D. M. Stamper-Kurn, Analytical description of atrapped semi-ideal Bose gas at finite temperature, Phys. Rev. A 58, 2423(1998). 91, 92, 93[89] F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect,Experimental study of the thermodynamics of an interacting trappedBose-Einstein condensed gas, Phys. Rev. A 70, 013607 (2004). 91, 92, 93, 101[90] S. Giorgini, L. P. Pitaevskii, and S. Stringari, Condensate fraction and criticaltemperature of a trapped interacting Bose gas, Phys. Rev. A 54, R4633 (1996).99[91] S. Grossmann and M. Holthaus, On Bose-Einstein condensation in harmonictraps, Phys. Lett. A 208, 188 (1995). 100[92] T. Haugset, H. Haugerud, and J. O. Andersen, Bose-Einstein condensation inanisotropic harmonic traps, Phys. Rev. A 55, 2922 (1997). 100[93] J. R. Ensher, D. S. Jin, M. R. Matthews, C. E. Wieman, and E. A. Cornell,Bose-Einstein condensation in a dilute gas: Measurement of energy andground-state occupation, Phys. Rev. Lett. 77, 4984 (1996). 100153
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UNIVERSITY OF BELGRADEFACULTY OF PH
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Thesis advisor, Committee member:Dr
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lence for Computer Modeling of Comp
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dobijanje kondenzata odabrani su at
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Uticaj slabih interakcija na fenome
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Abstract of the doctoral dissertati
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highly accurate information on ener
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Keywords: cold quantum gases, Bose-
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CONTENTS3.4.2 Time-of-flight graphs
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NomenclatureRoman Symbolsagk BLMNn(
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Chapter 1Introduction1.1 ForewordTh
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ently explored to illustrate the ve
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Summations in the last expression c
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Figure 1.1: The hallmark of the Bos
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we discuss in some detail the exper
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In the first papers [3, 4], the TOF
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where a BG is the off-resonant scat
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system given by( ) ǫ Bog ⃗k =
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Having the efficient numerical meth
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Chapter 2Properties of quantum syst
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2. Diagonalization of Transition Am
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||2. Diagonalization of Transition
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magnetic field ⃗ B = 2M ⃗ Ω.3.
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3. Rotating ideal BECof the rotatio
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3. Rotating ideal BEC3.1 Numerical
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3. Rotating ideal BEC350300SC appro
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3. Rotating ideal BEC3.2 Finite num
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3. Rotating ideal BECN - N 03.0·10
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3. Rotating ideal BEC3.3 Global pro
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3. Rotating ideal BECever, it does
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3. Rotating ideal BECT c [nK]120110
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3. Rotating ideal BEC3.533210 3 κ
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3. Rotating ideal BECn(x, y)10·10
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3. Rotating ideal BECpancy numbers
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3. Rotating ideal BEC6·10 4 0 0.02
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Chapter 4Mean-field description of
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4. Mean-field description of an int
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Page 123 and 124: 4. Mean-field description of an int
Page 125 and 126: Chapter 5Nonlinear BEC dynamics by
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Page 155 and 156: Chapter 6SummarySince the first exp
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Page 163 and 164: Appendix B Time-dependent variation
Page 165 and 166: List of papers by Ivana VidanovićT
Page 167 and 168: References[1] S. N. Bose, Plancks g
Page 169 and 170: REFERENCES[21] W. Ketterle, D. S. D
Page 171 and 172: REFERENCES[45] A. Bogojević, A. Ba
Page 173: REFERENCES[70] M. R. Matthews, B. P
Page 177 and 178: REFERENCES[116] K. Staliunas, S. Lo
Page 179 and 180: CURRICULUM VITAE - Ivana Vidanović
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