Semiclassical Dynamics and Exponential Asymptotics George A. Hagedorn and Alain Joye Abstract. We discuss various constructions of approximate solutions to the 2 time–dependent Schr¨ odinger equation i ~ ∂ψ

Source URL: www.math.vt.edu

SYMMETRIC KRONECKER PRODUCTS AND SEMICLASSICAL WAVE PACKETS GEORGE A. HAGEDORN AND CAROLINE LASSER Abstract. We investigate the iterated Kronecker product of a square matrix with itself and prove an invariance property f

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Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension Vasile Gradinaru Seminar for Applied Mathematics ETH Z¨ urich

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Numerische Mathematik manuscript No. (will be inserted by the editor) Convergence of a Semiclassical Wavepacket Based Time–Splitting for the Schr¨ odinger Equation

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Generating Function and a Rodrigues Formula for the Polynomials in d–Dimensional Semiclassical Wave Packets George A. Hagedorn∗ Department of Mathematics and Center for Statistical Mechanics and Mathematical Physics

Source URL: www.math.vt.edu

• Mathematical analysis
• Mathematics
• Special functions
• Polynomials
• Orthogonal polynomials
• Hermite polynomials
• Generating function
• Non-analytic smooth function
• Chebyshev function

A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets George A. Hagedorn Happy 60th birthday, Mr. Fritz! Abstract. Although real, normalized Gaussian wave packets minimize the

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• Quantum mechanics
• Mathematical analysis
• Physics
• Mathematics
• Wave packet
• Uncertainty principle
• Symbol
• Table of stars with Bayer designations

Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States George A. Hagedorn∗ Department of Mathematics and Center for Statistical Mechanics and Math

Source URL: www.math.vt.edu

• Fourier analysis
• Incidence geometry
• Oval
• Projective geometry
• Dirac delta function

Semiclassical Dynamics with Exponentially Small Error Estimates George A. Hagedorn∗ Department of Mathematics and Center for Statistical Mechanics and Mathematical Physics Virginia Polytechnic Institute and State Unive

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• Operator theory
• Operator
• Differential forms on a Riemann surface
• Heat equation

Semiclassical and Other Methods for Understanding Molecular Collisions and Chemical Reactions Edited by

Source URL: www.ccp6.ac.uk

Contents Invited speakers Adiabatic channel models in reaction dynamics J¨ urgen Troe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Using the Initial Value Representation of Semiclassical Theory to Add Qua

Source URL: www.latsis2008.ethz.ch