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Title	Exact Quantum Dynamics Calculations using Phase Space Wavelets
Creator	Poirier, Bill
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-05-01
Description	In a series of earlier papers, the authors introduced the first exact quantum dynamics method that defeats the exponential scaling of CPU effort with system dimensionality. The method uses a “weylet” basis set (orthogonalized Weyl–Heisenberg wavelets), combined with a phase space truncation scheme first proposed by M. Davis and E. Heller. Here, we use a related, but much simpler, wavelet basis consisting of momentum–symmetrized phase space Gaussians. Despite being non–orthogonal, symmetrized Gaussians exhibit collective locality, allowing for effective phase space truncation and the defeat of exponential scaling. A “universal” and remarkably simple code has been written, which is dimensionally independent, and which also exploits massively parallel algorithms. The codes have been used to calculate the vibrational spectra of several molecules of varying dimensionality.
Extent	27 minutes
Subject	Mathematics Quantum theory Partial differential equations Mathematical physics
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Texas Tech University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043395
URI	http://hdl.handle.net/2429/49337
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
AggregatedSourceRepository	DSpace

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