arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/9801077quant-ph
收藏

磁场中粒子的压缩态

Squeezed States of a Particle in Magnetic Field

M. Ozana, A. L. Shelankov

备注：
RevTex, 12 pages, 4 Postscript figures, submitted to Physics of the Solid State; added references
发表信息：
Solid State Phys. 40 (1998) 1276
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

对于均匀磁场中的带电粒子，我们构造了哈密顿算符和非厄米算符$\hat{X}_Φ = \hat{X} \cos Φ+ \hat{Y} \sin Φ$，$\hat{X}$和$\hat{Y}$的本征函数的定态压缩态，其中$Φ$是一个复参数.在压缩态族中，拉莫尔圆位置的量子不确定性是最小的。在坐标表象中求出了压缩态的波函数，并讨论了它们的性质。对于任意规范的矢势，我们还导出了平移和转动的对称算符。

英文摘要：

For a charged particle in a homogeneous magnetic field, we construct stationary squeezed states which are eigenfunctions of the Hamiltonian and the non-Hermitian operator $\hat{X}_Φ = \hat{X} \cos Φ+ \hat{Y} \sin Φ$, $\hat{X}$ and $\hat{Y}$ being the coordinates of the Larmor circle center and $Φ$ is a complex parameter. In the family of the squeezed states, the quantum uncertainty in the Larmor circle position is minimal. The wave functions of the squeezed states in the coordinate representation are found and their properties are discussed. Also, for arbitrary gauge of the vector potential we derive the symmetry operators of translations and rotations.

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。

↑