George A. Hagedorn

Professor Emeritus 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).

---

---

Preprints since ~1994.

• 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-Dependent 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


• Gradinaru, Hagedorn, and Joye: Tunneling Dynamics and Spawning with Adaptive Semi-Classical Wave-Packets


• Elgart and Hagedorn: An Adiabatic Theorem for Resonances


• Gradinaru, Hagedorn, and Joye: Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension


• Hagedorn and Joye: Non-Adiabatic Transitions in a Simple Born-Oppenheimer Scattering System


• Bourquin, Gradinaru, and Hagedorn: Non-Adiabatic Transitions near Avoided Crossings: Theory and Numerics


• Authors of the above paper on a hike in the Alps, 25 June 2011.


• Elgart and Hagedorn: A Note on the Switching Adiabatic Theorem


• Gradinaru and Hagedorn: Convergence of a Semiclassical Wavepacket Based Time-Splitting for the Schroedinger Equation


• Hagedorn: A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets


• Hagedorn and Valeev: Molecular Resonance Raman and Rayleigh Scattering Stimulated by a Short Laser Pulse


• Hagedorn: Generating Function and a Rodrigues Formula for the Polynomials in d-Dimensional Semiclassical Wave Packets


• Hagedorn and Lasser: Symmetric Kronecker Products and Semiclassical Wave Packets


• Hagedorn and Lasser: Molecular Quantum Dynamics (MFO Snapshot).



The Broken Wagon Ranch with Pikes Peak in the background.


Descending Colorado's Capitol Peak. (12 August 2011)


Atop Colorado's Maroon Peak in the fog. (9 August 2010)


Descending a gulley on Maroon Peak. (9 August 2010)


Ascending Colorado's Pyramid Peak. (13 August 2010)


Son Charlie about to meet a new friend. (13 August 2010)


Atop Pyramid Peak with son Charlie. The Maroon Bells are in the background. (13 August 2010)


Descending Pyramid Peak. (This was one of the few places where the rock was solid.) 13 August 2010.


Strolling across a footbridge in Switzerland. (24 June 2012)



Nearing the tree line on Colorado's North Maroon Peak. (15 August 2012)



Nearing the top of Colorado's North Maroon Peak. (15 August 2012)


Talking with another climber atop Colorado's Little Bear Peak. (9 August 2013)


Son Charlie atop Colorado's Little Bear Peak. (9 August 2013)


Descending the Hourglass Couloir on Colorado's Little Bear Peak. (9 August 2013)


Another view descending the Hourglass. (9 August 2013)


Atop Colorado's Huron Peak with son Charlie and friend James Sloan. (24 August 2014)


On the summit of Mt. Adams in Colorado's Sangre de Cristo Mountains. (30 August 2014)
[14ers Crestone Needle, Crestone Peak, and Kit Carson Mountain are in the background.]


On the summit of Horn Peak in Colorado's Sangre de Cristo Mountains. (13 September 2015)
[14ers Humboldt Peak, Crestone Needle, Crestone Peak, and Kit Carson Mountain are in the background,
as are 13ers Little Horn Peak, Mt. Adams, and Fluted Peak.]


Departing the summit of Horn Peak. (13 September 2015)









---

Revision Date: 6 July 2018