Hagedorn Wavepackets and Schrödinger Equation with Time-Dependent, Homogeneous Magnetic Field
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Date
2020-11Type
- Report
ETH Bibliography
yes
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Abstract
Certain generalized coherent states, so-called Hagedorn wavepackets, have been used to numerically solve the standard Schrödinger equation. We generalize this approach and its recent enhancements to the magnetic Schrödinger equation for a time-dependent, spatially homogeneous magnetic field. In numerical experiments we examine the order of convergence and the preservation of norm and energy. We use this method to simulate a penning trap as proposed in recent work on quantum computing. Show more
Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Hagedorn wavepackets; Schrödinger equation; Magnetic field; Splitting; Perturbation; Penning trapOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
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ETH Bibliography
yes
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