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020 ▼a 9781088316771
035 ▼a (MiAaPQ)AAI13810041
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 530
1001 ▼a Jung, Kenneth Albert.
24510 ▼a Quantum Boltzmann Preserving Molecular Dynamics Beyond the Linear Response Regime.
260 ▼a [S.l.]: ▼b Yale University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 132 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
500 ▼a Advisor: Batista, Victor S.
5021 ▼a Thesis (Ph.D.)--Yale University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a The theory of nonlinear response functions is combined with a general quantum Boltzmann preserving classical dynamics known as Matsubara dynamics to provide a practical means of performing simulations capable of including important quantum statistical effects that arise from zero point energy and tunneling contributions. A relationship is shown to exist between imaginary time-ordered paths and Boltzmann preserving classical dynamics for multi-time correlation functions that mirrors the ideas of Wigner-Weyl symmetrization. The resulting theory is difficult to implement due to the presence of a phase factor that converts the classical Boltzmann distribution to a quantum one and further approximations are made to reach a ring polymer form of the second-order response function. This form of the response function will allow for practical simulations of nonlinear spectroscopy to be performed that include nuclear quantum effects. A brief excursion into the nonadiabatic realm by means of a novel mapping approach also is presented. This ansatz defines an Ehrenfest-like dynamics for the electronic degrees of freedom described by a single bosonic degree of freedom.
590 ▼a School code: 0265.
650 4 ▼a Chemistry.
650 4 ▼a Theoretical physics.
690 ▼a 0485
690 ▼a 0753
71020 ▼a Yale University. ▼b Chemistry.
7730 ▼t Dissertations Abstracts International ▼g 81-03B.
773 ▼t Dissertation Abstract International
790 ▼a 0265
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490627 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK