On the Relation Between Quantum Mechanical and Classical Parallel Transport
量子物理
2009-10-31 v1 数学物理
微分几何
math.MP
摘要
We explain how the kind of ``parallel transport'' of a wavefunction used in discussing the Berry or Geometrical phase induces the conventional parallel transport of certain real vectors. These real vectors are associated with operators whose commutators yield diagonal operators; or in Lie algebras those operators whose commutators are in the (diagonal) Cartan subalgebra.
引用
@article{arxiv.quant-ph/9908046,
title = {On the Relation Between Quantum Mechanical and Classical Parallel Transport},
author = {J. Anandan and L. Stodolsky},
journal= {arXiv preprint arXiv:quant-ph/9908046},
year = {2009}
}
备注
3 pages, no figures