Quantum Mechanical Plasma Scattering

抄録

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/v_th ∼ 10⁻⁷ sec for a plasma with a density n ∼ 10²⁰ m⁻³ and a temperature T = mv_th²/2 ∼ 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.