Title |
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Quantum Mechanical Plasma Scattering
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Creator |
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Accessrights |
open access |
Subject |
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Other
en
Ehrenfest's theorem
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Other
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quantum mechanical scattering
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Other
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plasma
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Other
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diffusion
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Description |
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Abstract
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We have solved the two-dimensional time-dependent Schödinger equation for a particle with and without the interparticle potential in a fusion plasma. It was shown that spatial extent of a free particle grows monotonically in time. Such expansion leads to a spatial extent or size of a proton of the order of the average interparticle separation Δl ≡ n−1/3 ∼ 2 × 10−7 m in a time interval of 106 × Δl/vth ∼ 10−7 sec for a plasma with a density n ∼ 1020 m−3 and a temperature T = mvth2/2 ∼ 10 keV. It was also shown that, under a Coulomb potential, the wavefunction of a charged particle first shrink and expand in time. In the expansion phase, at times t ≥ 10−10 sec, the size of particle in the presence of a Coulomb potential is much larger than that in the absence of it.
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Publisher |
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The Japan Society of Plasma Science and Nuclear Fusion Research
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
VoR |
Identifier |
HDL
http://hdl.handle.net/2115/48766
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Relation |
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URI
http://www.jspf.or.jp/PFR/index.html
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isIdenticalTo
DOI
https://doi.org/10.1585/pfr.5.S2024
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Journal |
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EISSN
1880-6821
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NCID
AA12346675
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en
Plasma and Fusion Research
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Volume Number5
Issue NumberS2024
Page StartS2024-1
Page EndS2024-4
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File |
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Oaidate |
2023-07-26 |