open access

https://hdl.handle.net/2115/64561

Quantum mechanical expansion of a magnetized particle in the presence of a field particle for magnetic fusion plasmas

英語

anomalous diffusion

2016-12-29

IOS Press

International journal of applied electromagnetics and mechanics

52(3-4)

1237-1244

The two-dimensional time-dependent Schrodinger equation, for a magnetized proton in the presence of a fixed field particle and of a uniform magnetic field is numerically solved. In the relatively high-speed case, the fast-speed proton has the similar behaviors to those of classical ones. However, in the extension of time, the relatively high-speed case shows similar behavior to the low-speed case: the cyclotron radii both in mechanical momentum and position are appreciably decreasing with time. However, the kinetic energy and the potential energy do not show appreciable changes. This is because of the increasing variances, i.e. uncertainty, both in momentum and position. The increment in variance of momentum corresponds to the decrement in the magnitude of mechanical momentum in a classical sense: Part of energy is transferred from the directional (classical kinetic) energy to the uncertainty (quantum mechanical zero-point) energy.

学術雑誌論文

Accepted Manuscript

The final publication is available at IOS Press through http://dx.doi.org/10.3233/JAE-162204

1383-5416