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Topics in semiclassical quantum dyna...

Tannenbaum, Emmanuel David.

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Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation./
Author:	Tannenbaum, Emmanuel David.
Description:	219 p.
Notes:	Adviser: Eric J. Heller.
Contained By:	Dissertation Abstracts International63-04B.
Subject:	Chemistry, Physical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3051301
ISBN:	0493659226

Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation.
Tannenbaum, Emmanuel David.

Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation. - 219 p.

Adviser: Eric J. Heller.

Thesis (Ph.D.)--Harvard University, 2002.

This thesis covers three topics in semiclassical quantum dynamics. Chapters 1 and 2 are devoted to the development and application of a phase-space deformation approach to optimize the classical canonical representation of a nearly integrable Hamiltonian. Chapter 1 develops and tests the theory, while in Chapter 2 the method is successfully applied to several model Hamiltonians. Chapters 3 and 4 are devoted to studies of energy redistribution. Specifically, Chapter 3 compares dynamical tunneling to Arnol'd Diffusion in a model Hamiltonian system, in order to determine the relative importance of the two types of energy flow as a mechanism of vibrational energy redistribution in polyatomic molecules. It is concluded that dynamical tunneling is generally much faster than Arnol'd Diffusion. Chapter 4 studies an analytically solvable stochastic model for energy dispersion due to numerous Landau-Zener transitions on a network of avoided crossings. Finally, Chapters 5 and 6 cover issues related to vibrational predissociation. In Chapter 5, a perturbative model for vibrational predissociation is developed and applied to ArHF. A number of important experimental observations regarding the ArHF system are recovered using our model. In Chapter 6 we develop a semiclassical coupling formula for bound-free dissociative couplings using only classical Fourier coefficients of the Hamiltonian. This formula is successfully applied to several test cases.

ISBN: 0493659226Subjects--Topical Terms:

560527
Chemistry, Physical.

Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation.
LDR:02377nam 2200277 a 45 001 936541
005 20110510
008 110510s2002 eng d
020 $a 0493659226
035 $a (UnM)AAI3051301
035 $a AAI3051301
040 $a UnM $c UnM
100 1 $a Tannenbaum, Emmanuel David. $3 1260228
245 1 0 $a Topics in semiclassical quantum dynamics: Phase-space deformations, energy redistribution, and vibrational predissociation.
300 $a 219 p.
500 $a Adviser: Eric J. Heller.
500 $a Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1906.
502 $a Thesis (Ph.D.)--Harvard University, 2002.
520 $a This thesis covers three topics in semiclassical quantum dynamics. Chapters 1 and 2 are devoted to the development and application of a phase-space deformation approach to optimize the classical canonical representation of a nearly integrable Hamiltonian. Chapter 1 develops and tests the theory, while in Chapter 2 the method is successfully applied to several model Hamiltonians. Chapters 3 and 4 are devoted to studies of energy redistribution. Specifically, Chapter 3 compares dynamical tunneling to Arnol'd Diffusion in a model Hamiltonian system, in order to determine the relative importance of the two types of energy flow as a mechanism of vibrational energy redistribution in polyatomic molecules. It is concluded that dynamical tunneling is generally much faster than Arnol'd Diffusion. Chapter 4 studies an analytically solvable stochastic model for energy dispersion due to numerous Landau-Zener transitions on a network of avoided crossings. Finally, Chapters 5 and 6 cover issues related to vibrational predissociation. In Chapter 5, a perturbative model for vibrational predissociation is developed and applied to ArHF. A number of important experimental observations regarding the ArHF system are recovered using our model. In Chapter 6 we develop a semiclassical coupling formula for bound-free dissociative couplings using only classical Fourier coefficients of the Hamiltonian. This formula is successfully applied to several test cases.
590 $a School code: 0084.
650 4 $a Chemistry, Physical. $3 560527
650 4 $a Physics, Molecular. $3 1018648
690 $a 0494
690 $a 0609
710 2 0 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 63-04B.
790 $a 0084
790 1 0 $a Heller, Eric J., $e advisor
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3051301