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PhD thesis in English

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REFERENCES[33] D. A. Huse and E. D. Siggia, The density distribution of a weakly <strong>in</strong>teract<strong>in</strong>gbose gas <strong>in</strong> an external potential, J. Low Temp. Phys. 46, 137 (1982). 15, 95[34] L. Pitaevskii and S. Str<strong>in</strong>gari, Bose-E<strong>in</strong>ste<strong>in</strong> Condensation, Clarendon Press,Oxford (2004). 17, 88[35] A. Sethia, S. Sanyal, and F. Hirata, Eigenstates from the discretized path<strong>in</strong>tegral, Chem. Phys. Lett. 315, 299 (1999). 20[36] A. Sethia, S. Sanyal, and F. Hirata, Quantum dynamics: Path <strong>in</strong>tegral approachto time correlation functions <strong>in</strong> f<strong>in</strong>ite temperature, J. Chem. Phys.114, 5097 (2001). 20[37] S. Sanyal and A. Sethia, Quantum properties of many boson system: Path<strong>in</strong>tegral approach, Chem. Phys. Lett. 404, 192 (2005). 20[38] H. Ishikawa, An accurate method for numerical calculations <strong>in</strong> quantum mechanics,J. Phys. A 35, 4453 (2002). 21[39] H. Shao and Z. Wang, Numerical solutions of the time-dependent Schröd<strong>in</strong>gerequation: Reduction of the error due to space discretization, Phys. Rev. E 79,056705 (2009). 21[40] S. A. Ch<strong>in</strong>, S. Janecek, and E. Krotscheck, An arbitrary order diffusion algorithmfor solv<strong>in</strong>g Schröd<strong>in</strong>ger equations, Comput. Phys. Commun. 180, 1700(2009). 21[41] S. Janecek and E. Krotscheck, A fast and simple program for solv<strong>in</strong>g localSchröd<strong>in</strong>ger equations <strong>in</strong> two and three dimensions, Comput. Phys. Commun.178, 835 (2008). 21[42] M. Aich<strong>in</strong>ger, S.A. Ch<strong>in</strong>, and E. Krotscheck, Fourth-order algorithms forsolv<strong>in</strong>g local Schröd<strong>in</strong>ger equations <strong>in</strong> a strong magnetic field, Comput. Phys.Commun. 171, 197 (2005). 21[43] A. Balaž, O ubrzavanju konvergencije funkcionalnih <strong>in</strong>tegrala, <strong>PhD</strong> <strong>thesis</strong>,Faculty of Physics, University of Belgrade (2008). 21[44] A. Balaž, A. Bogojević, I. Vidanović, and A. Pelster, Recursive Schröd<strong>in</strong>gerequation approach to faster converg<strong>in</strong>g path <strong>in</strong>tegrals, Phys. Rev. E 79, 036701(2009). 21, 26, 34, 36, 37, 55, 65149

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