Numerical Analysis of Quantum Mechanical ∇B Drift II

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概要

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• We have solved the two-dimensional time-dependent Schr¨odinger equation for a single particle in the presenceof a non-uniform magnetic field for initial speed of 10–100m/s, mass of the particle at 1–10mp, where mpis the mass of a proton. Magnetic field at the origin of 5–10T, charge of 1–4 e, where e is the charge of theparticle and gradient scale length of 2.610 × 10－5–5.219 m. It was numerically found that the variance, or theuncertainty, in position can be expressed as dσ2r/dt = 4.1 v0/qB0LB, where m is the mass of the particle, q is thecharge, v0 is the initial speed of the corresponding classical particle, B0 is the magnetic field at the origin and LBis the gradient scale length of the magnetic field. In this expression, we found out that mass, m does not affectour newly developed expression.

• The Japan Society of Plasma Science and Nuclear Fusion Researchの論文

著者

• OIKAWA Shun-ichi

  Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan

• CHAN Poh

  Graduate School of Engineering, Hokkaido University

• OKUBO Emi

  Graduate School of Engineering, Hokkaido University

関連論文

• Quantum Mechanical Plasma Scattering
• Numerical Analysis of Quantum Mechanical ∇B Drift
• Numerical Analysis of Schrödinger Equation for a Magnetized Particle in the Presence of a Field Particle
• Numerical Analysis of Quantum Mechanical ∇B Drift II
• Application of the binary interaction approximation to plasma oscillation
• Accuracy assurance in binary interaction approximation for N-Body problems
• Numerical Analysis of Quantum Mechanical ∇B Drift III

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