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020 ▼a 9781392257760
035 ▼a (MiAaPQ)AAI13878728
035 ▼a (MiAaPQ)cornellgrad:11376
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 541
1001 ▼a Church, Matthew Steven.
24510 ▼a Semiclassical Approaches to Complex Chemical Simulation in Real Time.
260 ▼a [S.l.]: ▼b Cornell University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 168 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B.
500 ▼a Publisher info.: Dissertation/Thesis.
500 ▼a Advisor: Ananth, Nandini.
5021 ▼a Thesis (Ph.D.)--Cornell University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a Semiclassical (SC) theory offers a pedagogically rich connection between quantum and classical perspectives of nature, and, furthermore, is a promising approach to incorporating quantum effects into molecular dynamics simulations. However, a variety of numerical challenges associated with SC methods, such as the cumbersome search for special trajectories, or the integration of highly oscillatory functions (i.e. the SC "sign problem"), generally renders SC theory impractical for all but very simple, low-dimensional systems. In this dissertation we derive a variety of mixed quantum-classical (MQC) representations of the real-time correlation function within the SC initial value representation (SC-IVR) using the modified Filinov filtration (MFF) technique. The most promising of these methods are subsequently tested on a number of low- and high-dimensional systems. Each of these methods have three significant advantages. (1) They offer a significant improvement upon the SC-IVR "sign problem." (2) They offer mode-specific quantization in a dynamically consistent framework. And (3) they are significantly easier to implement than other leading SC-IVR methodologies. The extension of these methods to nonadiabatic systems is made as well. We conclude that, in future studies of a variety of non-equilibrium molecular systems, particularly those that exhibit strong nuclear quantum effects such as interference, the novel SC-IVR methods presented here should prove to be very powerful.
590 ▼a School code: 0058.
650 4 ▼a Computational chemistry.
650 4 ▼a Physical chemistry.
690 ▼a 0219
690 ▼a 0494
71020 ▼a Cornell University. ▼b Chemistry and Chemical Biology.
7730 ▼t Dissertations Abstracts International ▼g 80-12B.
773 ▼t Dissertation Abstract International
790 ▼a 0058
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491108 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK