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$Edge excitations of paired fractional quantum Hall states$

4. A. Balaž, I. Vidanović, A. Bogojević, A. Belić, and A. Pelster, Fast ConvergingPath Integrals for Time-Dependent Potentials: Recursive Calculation of Short-Time Expansion of the Propagator, J. Stat. Mech. P03004 (2011).5. M. V. Milovanović, Th. Jolicoeur, and I. Vidanović, Modified Coulomb GasConstruction of Quantum Hall States from Nonunitary Conformal Field Theories,Phys. Rev. B 80, 155324 (2009).6. A. Balaž, A. Bogojević, I. Vidanović, and A. Pelster, Recursive SchrödingerEquation Approach to Faster Converging Path Integrals, Phys. Rev. E 79,036701 (2009).7. A. Bogojević, I. Vidanović, A. Balaž, and A. Belić, Fast Convergence of PathIntegrals for Many-Body Systems, Phys. Lett. A 372, 3341 (2008).145
References[1] S. N. Bose, Plancks gesetz und lichtquantenhypothese, Z. Phys. 26, 178(1924). v, x, 1[2] A. Einstein, Quantentheorie des einatomigen idealen gases, Sitzungsber.Preuss. Akad. Wiss. p. 261 (1924). v, x, 1[3] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A.Cornell, Observation of Bose-Einstein condensation in a dilute atomic vapor,Science 269, 198 (1995). vi, xi, 2, 7, 11[4] K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee,D. M. Kurn, and W. Ketterle, Bose-Einstein condensation in a gas of sodiumatoms, Phys. Rev. Lett. 75, 3969 (1995). vi, xi, 2, 11[5] F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999). vi,xi, 5, 7, 12, 84, 105[6] C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances inultracold gases, Rev. Mod. Phys. 82, 1225 (2010). vi, xi, 13[7] I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracoldgases, Rev. Mod. Phys. 80, 885 (2008). vi, vii, xi, xii, 15, 57, 58[8] R. Feynman, Simulating physics with computers, Int. J. Theor. Phys. 21, 467(1982). vi, xi, 3[9] A. Sethia, S. Sanyal, and Y. Singh, Discretized path integral method andproperties of a quantum system, J. Chem. Phys. 93, 7268 (1990). vii, xii, 16,20, 21, 23, 33, 55146
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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 115 and 116: 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
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Page 169 and 170: REFERENCES[21] W. Ketterle, D. S. D
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Page 173 and 174: REFERENCES[70] M. R. Matthews, B. P
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Page 177 and 178: REFERENCES[116] K. Staliunas, S. Lo
Page 179 and 180: CURRICULUM VITAE - Ivana Vidanović
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