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arXiv 0909.2061physics.atm-clus
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结构化原子和分子中的浆果状相

Berry-like phases in structured atoms and molecules

Edmund R. Meyer, Aaron Leanhardt, Eric Cornell, John L. Bohn

摘要:

量子力学相位所产生的周期性变化的哈密顿被认为是。这些相位是从一个固定的、"修饰“的哈密顿量的本征值导出的,该哈密顿量除了时间变化之外还能够处理内部原子或分子结构。在绝热时间变化的极限下,恢复了通常的Berry相位。对于更快的变化,非绝热修正的Berry相位恢复微扰理论,其明确的依赖于内部结构出现。这种形式主义的简单演示,粒子包含相互作用的自旋,并在电场的分子。

英文摘要:

Quantum mechanical phases arising from a periodically varying Hamiltonian are considered. These phases are derived from the eigenvalues of a stationary, ``dressed'' Hamiltonian that is able to treat internal atomic or molecular structure in addition to the time variation. In the limit of an adiabatic time variation, the usual Berry phase is recovered. For more rapid variation, non-adiabatic corrections to the Berry phase are recovered in perturbation theory, and their explicit dependence on internal structure emerges. Simple demonstrations of this formalism are given, to particles containing interacting spins, and to molecules in electric fields.

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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