2026-09-20T04:55:33Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/16958 2023-07-10 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Jadhao, Vikram 2010-08-31T20:02:00Z 2010-08-31T20:02:00Z Makri, Nancy Martin Gruebele Makri, Nancy Aksimentiev, Aleksei Stack, John D. 2012-09-07T16:43:31Z 2010-08-31T20:02:00Z 2010-08 We present an exact path integral methodology for computing quantum dynamical information. This method combines the concepts of iterative propagation with the features of Monte Carlo sampling. The stepwise evaluation of the path integral circumvents the growth of statistical error with time and the use of importance sampling leads to a favorable scaling of required grid points with the number of particles. Three different Monte Carlo sampling procedures are presented. Time correlation functions for several multi-dimensional model systems are computed and accurate long time dynamics are obtained. In the end, the capabilities and limitations of the method are discussed. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-07-12T17:11:14Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 3 Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) source.zip: 13854 bytes, checksum: f10c6bd05fb0004c8331bd52911407ad (MD5) Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) Made available in DSpace on 2010-08-31T20:02:00Z (GMT). No. of bitstreams: 4 Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) source.zip: 13854 bytes, checksum: f10c6bd05fb0004c8331bd52911407ad (MD5) 1_Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) license.txt: 4061 bytes, checksum: a12cf673e19d5c32f2aa19d3b6f99664 (MD5) Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2010-08-31T20:04:45Z Item is restricted until 2012-08-31T20:04:44Z Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2012-09-07T16:43:31Z Item was in collections: University of Illinois Dissertations and Theses (ID: 204) Dissertations and Theses - Physics (ID: 445) No. of bitstreams: 5 Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) source.zip: 13854 bytes, checksum: f10c6bd05fb0004c8331bd52911407ad (MD5) 1_Jadhao_Vikram.pdf: 3225853 bytes, checksum: ddbef0f41408e80d78dd19f15e78c423 (MD5) license.txt: 4061 bytes, checksum: a12cf673e19d5c32f2aa19d3b6f99664 (MD5) 1_Jadhao_Vikram.pdf.txt: 158206 bytes, checksum: 42771955f71dcc3100b54a0107daaecc (MD5) Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2012-09-07T16:43:31Z http://hdl.handle.net/2142/16958 en Copyright 2010 Vikram Jadhao Monte Carlo methods Quantum dynamics Iterative methods Path integrals Iterative Monte Carlo for quantum dynamics Physics 1244 Physics 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD