George A. Hagedorn

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All published works

Action	Title	Year	Authors
+ PDF Chat	Symmetric Kronecker Products and Semiclassical Wave Packets	2017	George A. Hagedorn Caroline Lasser
+	Symmetric Kronecker products and semiclassical wave packets	2016	George A. Hagedorn Caroline Lasser
+	Symmetric Kronecker products and semiclassical wave packets	2016	George A. Hagedorn Caroline Lasser
+ PDF Chat	Generating function and a Rodrigues formula for the polynomials in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>d</mml:mi></mml:math>-dimensional semiclassical wave packets	2015	George A. Hagedorn
+	Generating Function and a Rodrigues Formula for the Polynomials in $d$-Dimensional Semiclassical Wave Packets	2015	George A. Hagedorn
+	Generating Functions for the Polynomials in d-Dimensional Semiclassical Wave Packets	2015	George A. Hagedorn
+	Born–Oppenheimer Approximation, Adiabatic Limit, and Related Math. Issues	2015	George A. Hagedorn
+	Generating Function and a Rodrigues Formula for the Polynomials in $d$-Dimensional Semiclassical Wave Packets	2015	George A. Hagedorn
+	Semiclassical Dynamics and Exponential Asymptotics	2015	George A. Hagedorn Alain Joye
+	Explicit Bound States for Certain N-Body Hamiltonians	2014	George A. Hagedorn Edward F. Valeev
+ PDF Chat	A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets	2013	George A. Hagedorn
+ PDF Chat	Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation	2013	Vasile Gradinaru George A. Hagedorn
+	A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets	2013	George A. Hagedorn
+ PDF Chat	A note on the switching adiabatic theorem	2012	Alexander Elgart George A. Hagedorn
+	Beurling-Lax Representations of Shift-Invariant Spaces, Zero-Pole Data Interpolation, and Dichotomous Transfer Function Realizations: Half-Plane/Continuous-Time Versions	2012	Austin J. Amaya Joseph A. Ball George A. Hagedorn Martin Klaus Michael Renardy
+ PDF Chat	An adiabatic theorem for resonances	2011	Alexander Elgart George A. Hagedorn
+ PDF Chat	Exponentially accurate semiclassical tunneling wavefunctions in one dimension	2010	Vasile Gradinaru George A. Hagedorn Alain Joye
+	An Adiabatic Theorem for Resonances	2010	Alexander Elgart George A. Hagedorn
+	An Adiabatic Theorem for Resonances	2010	Alexander Elgart George A. Hagedorn
+ PDF Chat	A MATHEMATICAL THEORY FOR VIBRATIONAL LEVELS ASSOCIATED WITH HYDROGEN BONDS II: THE NON-SYMMETRIC CASE	2009	George A. Hagedorn Alain Joye
+ PDF Chat	A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds	2009	George A. Hagedorn Alain Joye
+	Diatomic molecules with large angular momentum in the Born–Oppenheimer approximation	2008	Sharon Marie Hughes George A. Hagedorn
+ PDF Chat	A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds I: The Symmetric Case	2007	George A. Hagedorn Alain Joye
+	Mathematical analysis of Born-Oppenheimer approximations	2007	George A. Hagedorn Alain Joye
+ PDF Chat	Recent results on non-adiabatic transitions in quantum mechanics	2006	George A. Hagedorn Alain Joye
+ PDF Chat	Determination of Non-adiabatic Scattering Wave Functions in a Born-Oppenheimer Model	2005	George A. Hagedorn Alain Joye
+	Exponentially accurate semiclassical asymptotics of low-lying eigenvalues for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:mn>2</mml:mn></mml:math> matrix Schrödinger operators	2005	George A. Hagedorn Julio H. Toloza
+	Exponentially accurate quasimodes for the time‐independent Born–Oppenheimer approximation on a one‐dimensional molecular system	2005	George A. Hagedorn Julio H. Toloza
+	Recent Results on Non--Adiabatic Transitions in Quantum Mechanics	2005	George A. Hagedorn Alain Joye
+ PDF Chat	Time Development of Exponentially Small Non-Adiabatic Transitions	2004	George A. Hagedorn Alain Joye
+ PDF Chat	A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates	2001	George A. Hagedorn Alain Joye
+ PDF Chat	Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States	2000	George A. Hagedorn Alain Joye
+ PDF Chat	Resonances in a box	2000	George A. Hagedorn Bernhard Meller
+ PDF Chat	Semiclassical Dynamics¶with Exponentially Small Error Estimates	1999	George A. Hagedorn Alain Joye
+	MOLECULAR PROPAGATION THROUGH SMALL AVOIDED CROSSINGS OF ELECTRON ENERGY LEVELS	1999	George A. Hagedorn Alain Joye
+ PDF Chat	Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation	1997	George A. Hagedorn Alain Joye
+ PDF Chat	Proof of the Landau-Zener formula in an adiabatic limit with small eigenvalue gaps	1991	George A. Hagedorn
+	Adiabatic expansions near eigenvalue crossings	1989	George A. Hagedorn
+	Analysis of a nontrivial, explicitly solvable multichannel scattering system	1989	George A. Hagedorn
+ PDF Chat	High order corrections to the time-dependent Born-Oppenheimer approximation. II: Coulomb systems	1988	George A. Hagedorn
+ PDF Chat	High order corrections to the time-independent Born-Oppenheimer approximation II: Diatomic Coulomb systems	1988	George A. Hagedorn
+	"High Order Corrections to the Time-Dependent Born-Oppenheimer Approximation I: Smooth Potentials"	1987	George A. Hagedorn
+	High Order Corrections to the Time-Dependent Born-Oppenheimer Approximation I: Smooth Potentials	1986	George A. Hagedorn
+	Asymptotic completeness of certain four-body Schrödinger operators	1986	George A. Hagedorn Peter Perry
+	Reflection and transmission of high frequency pulses at an interface	1985	Winfried R. E. Weiss George A. Hagedorn
+	Scattering Theory for Many-Body Quantum Mechanical Systems–Rigorous Results (Israel Michael Sigal)	1985	George A. Hagedorn
+	Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension	1985	George A. Hagedorn
+	Asymptotic Completeness for Few Body Schrödinger Operators	1984	George A. Hagedorn Peter Perry
+	A particle limit for the wave equation with a variable wave speed	1984	George A. Hagedorn
+	Asymptotic completeness for certain three‐body schrödinger operators	1983	George A. Hagedorn Peter Perry
+	Semiclassical quantum mechanics. III. The large order asymptotics and more general states	1981	George A. Hagedorn
+	Asymptotic Completeness for Classes of Two, Three, and Four Particle Schrodinger Operators	1980	George A. Hagedorn
+	Semiclassical quantum mechanics	1980	George A. Hagedorn
+ PDF Chat	Asymptotic completeness for classes of two, three, and four particle Schrödinger operators	1980	George A. Hagedorn
+ PDF Chat	A link between scattering resonances and dilation analytic resonances in few body quantum mechanics	1979	George A. Hagedorn
+	Born series for (2 cluster) ? (2 cluster) scattering of two, three, and four particle Schr�dinger operators	1979	George A. Hagedorn
+ PDF Chat	Asymptotic completeness for a class of four particle Schrödinger operators	1978	George A. Hagedorn

Common Coauthors

Coauthor	Papers Together
Alain Joye	15
Alexander Elgart	4
Peter Perry	3
Caroline Lasser	3
Julio H. Toloza	2
Vasile Gradinaru	2
Austin J. Amaya	1
Joseph A. Ball	1
Bernhard Meller	1
Winfried R. E. Weiss	1
Martin Klaus	1
Michael Renardy	1
Edward F. Valeev	1
Sharon Marie Hughes	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Proof of the Landau–Zener formula	1994	Alain Joye	9
+ PDF Chat	Semiclassical Asymptotics Beyond All Orders for Simple Scattering Systems	1995	Alain Joye Charles‐Edouard Pfister	9
+ PDF Chat	Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems	1997	Alain Joye	8
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	8
+	Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension	1985	George A. Hagedorn	8
+ PDF Chat	A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates	2001	George A. Hagedorn Alain Joye	7
+	Semiclassical quantum mechanics	1980	George A. Hagedorn	7
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	7
+	High Order Corrections to the Time-Dependent Born-Oppenheimer Approximation I: Smooth Potentials	1986	George A. Hagedorn	7
+ PDF Chat	High order corrections to the time-independent Born-Oppenheimer approximation II: Diatomic Coulomb systems	1988	George A. Hagedorn	7
+	Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators	1973	J. M. Combes Lawrence E. Thomas	7
+ PDF Chat	Semiclassical Dynamics¶with Exponentially Small Error Estimates	1999	George A. Hagedorn Alain Joye	7
+	Semiclassical quantum mechanics. III. The large order asymptotics and more general states	1981	George A. Hagedorn	7
+	On the Born-Oppenheimer approximation	2005	J. M. Combes	7
+ PDF Chat	High order corrections to the time-dependent Born-Oppenheimer approximation. II: Coulomb systems	1988	George A. Hagedorn	6
+	Résonances dans l'approximation de Born-Oppenheimer I	1991	André Martínez	6
+ PDF Chat	Proof of the Landau-Zener formula in an adiabatic limit with small eigenvalue gaps	1991	George A. Hagedorn	6
+ PDF Chat	Adiabatic Theorem without a Gap Condition	1999	J. E. Avron Alexander Elgart	6
+ PDF Chat	On the Born-Oppenheimer expansion for polyatomic molecules	1992	Markus Klein André Martínez R. Seiler Xueyin Wang	6
+	Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum	1993	Alain Joye Charles‐Edouard Pfister	6
+ PDF Chat	A general reduction scheme for the time-dependent Born–Oppenheimer approximation	2002	André Martínez Vania Sordoni	6
+	Semiclassical limit for multistate Klein–Gordon systems: almost invariant subspaces, and scattering theory	2004	G. Nenciu Vania Sordoni	6
+	On the mathematical theory of predissociation	1987	Markus Klein	6
+	Asymptotic completeness in two- and three-particle quantum mechanical scattering	1975	Lawrence E. Thomas	6
+	The Born–Oppenheimer Approximation: Straight-Up and with a Twist	1997	Jeph Herrin James S. Howland	5
+	Mathematical foundations of quantum scattering theory for multiparticle systems	1978	Israel Michael Sigal	5
+ PDF Chat	Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States	2000	George A. Hagedorn Alain Joye	5
+ PDF Chat	Precise Coupling Terms in Adiabatic Quantum Evolution: The Generic Case	2005	Volker Betz Stefan Teufel	5
+ PDF Chat	Precise Coupling Terms in Adiabatic Quantum Evolution	2005	Volker Betz Stefan Teufel	5
+ PDF Chat	Resonances dans l'approximation de Born-Oppenheimer II-largeur des resonances	1991	André Martínez	5
+ PDF Chat	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	5
+ PDF Chat	Asymptotic completeness for classes of two, three, and four particle Schrödinger operators	1980	George A. Hagedorn	5
+ PDF Chat	Exponential decay of bound state wave functions	1973	A. J. O'Connor	5
+ PDF Chat	Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets	2009	Erwan Faou Vasile Gradinaru Christian Lubich	4
+ PDF Chat	Scattering theory and quadratic forms: On a theorem of Schechter	1977	Barry Simon	4
+	The Born-Oppenheimer Approximation	1981	J. M. Combes Pierre Duclos R. Seiler	4
+ PDF Chat	Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions	1971	Erik Balslev J. M. Combes	4
+	Développements asymptotiques et effet tunnel dans l'approximation de Born-Oppenheimer	1989	A. Martinez	4
+	Precise exponential estimates in adiabatic theory	1994	André Martínez	4
+	Absence of positive eigenvalues in a class of multiparticle quantum systems	1974	Barry Simon	4
+	Table of Integrals, Series, and Products	1980		4
+ PDF Chat	Determination of Non-adiabatic Scattering Wave Functions in a Born-Oppenheimer Model	2005	George A. Hagedorn Alain Joye	4
+ PDF Chat	Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation	1997	George A. Hagedorn Alain Joye	3
+	Spectral Analysis of N-Body Schrodinger Operators	1981	Peter Perry Israel Michael Sigal Barry Simon	3
+	Exponentially accurate quasimodes for the time‐independent Born–Oppenheimer approximation on a one‐dimensional molecular system	2005	George A. Hagedorn Julio H. Toloza	3
+	<i>m</i>th-order adiabatic invariance for quantum systems	1966	F.J. Sancho	3
+	From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis	2008	Christian Lubich	3
+	Semi-Classical Inelastic S-Matrix for One-Dimensional N-States Systems	1994	Philippe Martin G. Nenciu	3
+	Absence of positive eigenvalues of Schrödinger operators	1975	Erik Balslev	3
+	Adiabatic theorem and spectral concentration	1981	G. Nenciu	3