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量子相空间中相互垂直的静电场和强磁场条件下带电粒子体系的严格解(英文)

施建成, 罗敏

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

本论文在 Torres-Vega 和 Frederick 的量子相空间理论框架内,对相互垂直的静电场和强磁场这一特定条件下带电粒子体系的 T-F 量子相空间表象中的 Schrdinger 方程进行了严格求解,并获得了其精确解.同时发现该体系在相空间中的量子几率密度取决于磁场强度的大小和带电粒子能级的高低,结论由 Heisenberg 测不准原理给予了解释.

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本论文在 Torres-Vega 和 Frederick 的量子相空间理论框架内,对相互垂直的静电场和强磁场这一特定条件下带电粒子体系的 T-F 量子相空间表象中的 Schrdinger 方程进行了严格求解,并获得了其精确解.同时发现该体系在相空间中的量子几率密度取决于磁场强度的大小和带电粒子能级的高低,结论由 Heisenberg 测不准原理给予了解释.
The stationary-state nonlinear Schrödinger equation, which models the dilute-gas Bose–Einstein condensate, is introduced within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The exact solutions of equation are obtained in the phase space, by means of the wave-mechanics method. The eigenfunctions in position and momentum spaces are obtained through the `Fourier-like' projection transformation from the phase space eigenfunctions. The eigenfunction with a hypersecant part is discussed as an example.