George A. Hagedorn

Professor of Mathematics and
Director,  Center for Statistical Mechanics, Mathematical Physics, and Theoretical Chemistry

Mathematics Department
Virginia Tech

Center for Statistical Mechanics, Mathematical Physics, and Theoretical Chemistry

View from Cerro Aconcagua (highest point in South America, 22,841 feet, 8 February 1996).

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Preprints.

• Hagedorn: Classification and Normal Forms for Avoided Crossings of Quantum Mechanical Energy Levels.


• figures required for above paper.


• Hagedorn and Joye: Landau-Zener Transitions through Small Electronic Eigenvalue Gaps in the Born-Oppenheimer Approximation.


• Hagedorn and Joye: Molecular Propagation through Small Avoided Crossings of Electron Energy Levels.


• Hagedorn: Raising and Lowering Operators for Semiclassical Wave Packets.


• Hagedorn and Robinson: Bohr-Sommerfeld Quantization Rules in the Semiclassical Limit.


• Hagedorn and Meller: Resonances in a Box.


• Hagedorn and Joye: Semiclassical Dynamics with Exponentially Small Error Estimates.


• Hagedorn and Robinson: Approximate Rydberg States of the Hydrogen Atom that are Concentrated near Kepler Orbits.


• Hagedorn and Joye: Semiclassical Dynamics and Exponential Asymptotics.


• Hagedorn: Molecular Propagation through Crossings and Avoided Crossings of Electron Energy Levels.


• Hagedorn and Joye: Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States.


• Hagedorn and Joye: A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates.


• Hagedorn and Joye: Elementary Exponential Error Estimates for the Adiabatic Approximation.


• Hagedorn: Simplified Semiclassical Propagation Estimates.


• Hagedorn and Joye: Time Development of Exponentially Small Non-Adiabatic Transitions.


• Hagedorn and Toloza: Exponentially Accurate Semiclassical Asymptotics of Low--Lying Eigenvalues for $2 \times 2$ Matrix Schr\"odinger Operators.


• Hagedorn and Joye: Determination of Non-adiabatic Scattering Wave Functions in a Born-Oppenheimer Model.


• Hagedorn and Toloza: Exponentially Accurate Quasimodes for the Time-Independent Born-Oppenheimer Approximation on a One--Dimensional Molecular System.


• Hagedorn, Rousse, and Jilcott: The AC Stark Effect, Time-Independent Born-Oppenheimer Approximation, and Franck-Condon Factors.


• Hagedorn and Joye: Mathematical Analysis of Born-Oppenheimer Approximations.


• Hagedorn and Joye: Recent Results on Non-Adiabatic Transitions in Quantum Mechanics.


• Hagedorn and Joye: A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds I: The Symmetric Case.


• Hagedorn and Joye: Vibrational Levels Associated with Hydrogen Bonds.


• Herman and Hagedorn: Does Moller-Plesset Perturbation Theory Converge? A Look at Two-Electron Systems.


• Hagedorn and Joye: A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds II: The Non-Symmetric Case.


• Hughes and Hagedorn: Diatomic Molecules with Large Angular Momentum in the Born-Oppenheimer Approximation

Revision Date: 22 August 2008