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An Exact Single-Electron Picture of Many-Electron Processes and its Application to the Dynamics of Molecules in Strong Laser Fields Schild, Axel
Description
To solve the equation of motion for a quantum-mechanical wavefunction $\psi$ the Schrödinger equation, for a many-particle system is a major problem in many branches of physics. Based on the idea that the joint probability density $|\psi|^2$ can be written as the product of a marginal probability density (that depends only on some of the particle variables) and a conditional probability density, it can be shown that there exists a marginal wavefunction which also obeys a Schrödinger equation, but with an effective potential that encodes the interaction with all parti- cles. In this talk, I present an application of this idea to a many-electron system: By taking only the variables of one electron as the marginal coordinates, an exact single-electron picture that describes the correlated electron dynamics of many electrons is obtained. All many-electron interactions are then encoded in the structure and time-dependence of an effective single-electron potential. This approach is applied to the description of strong field phenomena, because they are often interpreted in a single-electron picture, while at the same time the understanding and measurement of many-electronic interactions is a main topic in this field. First results for 2- and 3-electron model systems in strong laser fields are presented and used to illustrate how an exact single electron picture of ionization or high-harmonic generation looks like. Additionally, I show first steps towards a feasible method for the calculation of the many-electron dynamics in complex molecules. <br/><br/> [1] Axel Schild, E.K.U. Gross, Phys. Rev. Lett. 118, 163202 (2017).
Item Metadata
| Title |
An Exact Single-Electron Picture of Many-Electron Processes and its Application to the Dynamics of Molecules in Strong Laser Fields
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-08-17T10:06
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| Description |
To solve the equation of motion for a quantum-mechanical wavefunction $\psi$ the Schrödinger equation, for a many-particle system is a major problem in many branches of physics. Based on the idea that the joint probability density $|\psi|^2$ can be written as the product of a marginal probability density (that depends only on some of the particle variables) and a conditional probability density, it can be shown that there exists a marginal wavefunction which also obeys a Schrödinger equation, but with an effective potential that encodes the interaction with all parti-
cles.
In this talk, I present an application of this idea to a many-electron system: By taking only the variables of one electron as the marginal coordinates, an exact single-electron picture that describes the correlated electron dynamics of many electrons is obtained. All many-electron interactions are then encoded in the structure and time-dependence of an effective single-electron potential. This approach is applied to the description of strong field phenomena, because they are often interpreted in a single-electron picture, while at the same time the understanding and measurement of many-electronic interactions is a main topic in this field. First results for 2- and 3-electron model systems in strong laser fields are presented and used to illustrate how an exact single electron picture of ionization or high-harmonic generation looks like. Additionally, I show first steps towards a feasible method for the calculation of the many-electron dynamics in complex molecules.
<br/><br/>
[1] Axel Schild, E.K.U. Gross, Phys. Rev. Lett. 118, 163202 (2017).
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| Extent |
32 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: ETH Zurich
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| Series | |
| Date Available |
2018-02-14
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0363502
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Media
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International