Quantum Mechanical Plasma Scattering
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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<sup>−1/3</sup> ∼ 2 × 10<sup>−7</sup> m in a time interval of 10<sup>6</sup> × Δl/v<sub>th</sub> ∼ 10<sup>−7</sup> sec for a plasma with a density n ∼ 10<sup>20</sup> m<sup>−3</sup> and a temperature T = mv<sub>th</sub><sup>2</sup>/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<sup>−10</sup> sec, the size of particle in the presence of a Coulomb potential is much larger than that in the absence of it.
- Plasma and Fusion Research
Plasma and Fusion Research (5), S2024-S2024, 2010
The Japan Society of Plasma Science and Nuclear Fusion Research