Numerical Analysis of Quantum Mechanical ∇B Drift

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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 nonuniform magnetic field for initial speeds of 10-100 m/s. By linear extrapolation, it is shown thatthe variance, or the uncertainty, in position would reach the square of the interparticle separation n－2/3 with anumber density of n = 1020 m－3 in a time interval of the order of 10－4 sec. After this time the wavefunctions ofneighboring particles would overlap, as a result the conventional classical analysis may lose its validity: Plasmasmay behave more-or-less like extremely-low-density liquids, not gases, since the size of each particle is of thesame order of the interparticle separation.

• 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

• SHIMAZAKI Takahiro

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

• Okubo Emi

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

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

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