Title |
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Numerical Analysis of Quantum Mechanical ∇B Drift II
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Creator |
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Accessrights |
open access |
Subject |
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Other
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grad-B drift
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magnetic length
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Landau state
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quantum mechanical scattering
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plasma
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diffusion
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expansion time
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expansion rate of variance
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Description |
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Other
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This article is based on the presentation at the 21st International Toki
Conference (ITC21)
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Abstract
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We have solved the two-dimensional time-dependent Schr¨odinger equation for a single particle in the presence of a non-uniform magnetic field for initial speed of 10–100m/s, mass of the particle at 1–10mp, where mp is the mass of a proton. Magnetic field at the origin of 5–10T, charge of 1–4 e, where e is the charge of the particle and gradient scale length of 2.610 × 10−5–5.219 m. It was numerically found that the variance, or the uncertainty, in position can be expressed as dσ2r /dt = 4.1 v0/qB0LB, where m is the mass of the particle, q is the charge, v0 is the initial speed of the corresponding classical particle, B0 is the magnetic field at the origin and LB is the gradient scale length of the magnetic field. In this expression, we found out that mass, m does not affect our newly developed expression.
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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/2115/49212
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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.7.2401034
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Journal |
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EISSN
1880-6821
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NCID
AA12346675
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Plasma and Fusion Research
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Volume Number7
Issue Number1
Page Start2401034-1
Page End2401034-4
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File |
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Oaidate |
2023-07-26 |