Bargmann不变量与几何相位--一种广义联系
Bargmann Invariants and Geometric Phases - a Generalised Connection
摘要：
我们开发的量子力学巴格曼不变量和几何相位之间的众所周知的连接最广泛的可能的概括。关键概念是量子力学射线和希尔伯特空间中的零相位曲线。这种曲线的例子开发。我们的推广被证明是必不可少的正确理解几何相位结果的情况下，相干态和高斯态。零相位曲线的微分几何方面也简要探讨。
英文摘要：
We develop the widest possible generalisation of the well-known connection between quantum mechanical Bargmann invariants and geometric phases. The key notion is that of null phase curves in quantum mechanical ray and Hilbert spaces. Examples of such curves are developed. Our generalisation is shown to be essential to properly understand geometric phase results in the cases of coherent states and of Gaussian states. Differential geometric aspects of null phase curves are also briefly explored.
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