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arXiv quant-ph/9908087quant-ph
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矢量势作用下曲面上的量子粒子

Quantum particle constrained to a curved surface in the presence of a vector potential

M. Encinosa, Ray N. O'Neal,

摘要:

本文用形式法导出了在矢势作用下,带电粒子被约束在曲面上的薛定谔方程。在粒子无限接近表面的极限中,出现了一个项,它将垂直于表面的矢势分量与表面的平均曲率耦合起来。

英文摘要:

The Schrodinger equation for a charged particle constrained to a curved surface in the presence of a vector potential is derived using the method of forms. In the limit that the particle is brought infinitesimally close to the surface, a term arises that couples the component of the vector potential normal to the surface to the mean curvature of the surface.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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