PhD thesis in English

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$Edge excitations of paired fractional quantum Hall states$

REFERENCES[33] D. A. Huse and E. D. Siggia, The density distribution of a weakly interactingbose gas in an external potential, J. Low Temp. Phys. 46, 137 (1982). 15, 95[34] L. Pitaevskii and S. Stringari, Bose-Einstein Condensation, Clarendon Press,Oxford (2004). 17, 88[35] A. Sethia, S. Sanyal, and F. Hirata, Eigenstates from the discretized pathintegral, Chem. Phys. Lett. 315, 299 (1999). 20[36] A. Sethia, S. Sanyal, and F. Hirata, Quantum dynamics: Path integral approachto time correlation functions in finite temperature, J. Chem. Phys.114, 5097 (2001). 20[37] S. Sanyal and A. Sethia, Quantum properties of many boson system: Pathintegral approach, Chem. Phys. Lett. 404, 192 (2005). 20[38] H. Ishikawa, An accurate method for numerical calculations in quantum mechanics,J. Phys. A 35, 4453 (2002). 21[39] H. Shao and Z. Wang, Numerical solutions of the time-dependent Schrödingerequation: Reduction of the error due to space discretization, Phys. Rev. E 79,056705 (2009). 21[40] S. A. Chin, S. Janecek, and E. Krotscheck, An arbitrary order diffusion algorithmfor solving Schrödinger equations, Comput. Phys. Commun. 180, 1700(2009). 21[41] S. Janecek and E. Krotscheck, A fast and simple program for solving localSchrödinger equations in two and three dimensions, Comput. Phys. Commun.178, 835 (2008). 21[42] M. Aichinger, S.A. Chin, and E. Krotscheck, Fourth-order algorithms forsolving local Schrödinger equations in a strong magnetic field, Comput. Phys.Commun. 171, 197 (2005). 21[43] A. Balaž, O ubrzavanju konvergencije funkcionalnih integrala, PhD thesis,Faculty of Physics, University of Belgrade (2008). 21[44] A. Balaž, A. Bogojević, I. Vidanović, and A. Pelster, Recursive Schrödingerequation approach to faster converging path integrals, Phys. Rev. E 79, 036701(2009). 21, 26, 34, 36, 37, 55, 65149
REFERENCES[45] A. Bogojević, A. Balaž, and A. Belić, Systematic speedup of path integrals ofa generic N -fold discretized theory, Phys. Rev. B 72, 064302 (2005). 21, 34[46] A. Bogojević, A. Balaž, and A. Belić, Generalization of Euler’s summationformula to path integrals, Phys. Lett. A 344, 84 (2005). 21, 34[47] T. L. Beck, Real-space mesh techniques in density-functional theory, Rev.Mod. Phys. 72, 1041 (2000). 22[48] M. A. Martin-Delgado, G. Sierra, and R. M. Noack, The density matrixrenormalization group applied to single-particle quantum mechanics, J. Phys.A 32, 6079 (1999). 23, 56[49] J. R. Chelikowsky, N. Troullier, K. Wu, and Y. Saad, Higher-order finitedifferencepseudopotential method: An application to diatomic molecules,Phys. Rev. B 50, 11355 (1994). 23[50] P. Maragakis, J. Soler, and E. Kaxiras, Variational finite-difference representationof the kinetic energy operator, Phys. Rev. B 64, 193101 (2001).23[51] C.-K. Skylaris, A. A. Mostofi, P. D. Haynes, O. Diéguez, and M. C.Payne, Nonorthogonal generalized Wannier function pseudopotential planewavemethod, Phys. Rev. B 66, 035119 (2002). 23[52] H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, PolymerPhysics, and Financial Markets, World Scientific, Singapore (2006). 27, 43[53] W. Janke and H. Kleinert, Summing paths for a particle in a box, Lett. NuovoCimento 25, 297 (1979). 27[54] Mathematica symbolic calculation software packagehttp://www.wolfram.com/mathematica. 30, 40, 120, 122, 129[55] G. Barton, A. J. Bray, and A. J. McKane, The influence of distant boundarieson quantum mechanical energy levels, Am. J. Phys. 58, 751 (1990). 31, 38[56] D. H. Berman, Boundary effects in quantum mechanics, Am. J. Phys. 59,937 (1991). 31, 38150
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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 119 and 120: 4. Mean-field description of an int
Page 125 and 126: Chapter 5Nonlinear BEC dynamics by
Page 127 and 128: 5. BEC excitation by modulation of
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Page 155 and 156: Chapter 6SummarySince the first exp
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Page 159 and 160: of the ground state. Imaginary-time
Page 161 and 162: (A.13). With another boundary condi
Page 163 and 164: Appendix B Time-dependent variation
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Page 167 and 168: References[1] S. N. Bose, Plancks g
Page 169: REFERENCES[21] W. Ketterle, D. S. D
Page 173 and 174: REFERENCES[70] M. R. Matthews, B. P
Page 175 and 176: REFERENCES[94] M.-O. Mewes, M. R. A
Page 177 and 178: REFERENCES[116] K. Staliunas, S. Lo
Page 179 and 180: CURRICULUM VITAE - Ivana Vidanović
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