The quantum theory of the Penning trap

The quantum theory of the Penning trap
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潘宁陷阱的量子理论

DOI:
10.1080/09500340.2017.1393570
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发表时间:
2017
影响因子:
1.3
通讯作者:
Crimin F
Crimin F
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Crimin F

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我们根据陷阱中单个带电粒子运动的个体 xandy 径向模式提出了潘宁陷阱的量子理论,并演示了用于检查这些个体动力学的传统旋转框架如何在量子状态下失效。在求解基础中的径向哈密顿量时,我们展示了量化后必须如何进行变量的规范变换,以便能够一致地跟踪这些单独的运动。这与之前的工作形成对比。讨论的结果有助于对陷阱中的模式耦合进行完全量子处理,从而避免系统耦合能级之间的交叉。利用问题的代数结构允许在量子潘宁陷阱理论中使用修饰原子形式主义,并提出了由此产生的未来应用。
We present the quantum theory of the Penning trap in terms of individualxandyradial modes of the motion of a single charged particle in the trap, and demonstrate how the conventional rotating frame used to examine these individual dynamics fails in the quantum regime. In solving the radial Hamiltonian in thebasis, we show how canonical transformation of the variables must take placeafterquantization, in order that these separate motions can be consistently tracked. This is in contrast to previous work. The results of the discussion lend themselves to a fully quantum treatment of mode coupling in the trap, leading to an avoided crossing between the coupled energy levels of the system. Exploiting the algebraic structure of the problem allows employment of a dressed-atom formalism within quantum Penning trap theory, and future applications resulting from this are proposed.
DOI: --
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发表时间: 2004
期刊:
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