GEOMETRY OF QUANTUM EVOLUTION

被引：609

作者：

ANANDAN, J

AHARONOV, Y

机构：

[1] MAX PLANCK INST PHYS & ASTROPHYS,W-8000 MUNICH 40,GERMANY

[2] UNIV S CAROLINA,DEPT PHYS & ASTRON,COLUMBIA,SC 29208

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.65.1697

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For an arbitrary quantum evolution, it is shown that the integral of the uncertainty of energy with respect to time is independent of the particular Hamiltonian used to transport the quantum system along a given curve in the projective Hilbert space. It is the distance along this curve measured by the Fubini-Study metric. This gives a new time-energy uncertainty principle. New geometric meanings to time as measured by a clock and the transition probability during a quantum measurement are also obtained. © 1990 The American Physical Society.

引用

页码：1697 / 1700

页数：4

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