English

Geometric Properties of Quantum Phases

Mathematical Physics 2015-06-26 v1 math.MP

Abstract

The Aharonov-Anandan phase is introduced from a physical point of view. Without reference to any dynamical equation, this phase is formulated by defining an appropriate connection on a specific fibre bundle. The holonomy element gives the phase. By introducing another connection, the Pancharatnam phase formula is derived following a different procedure.

Keywords

Cite

@article{arxiv.math-ph/0607052,
  title  = {Geometric Properties of Quantum Phases},
  author = {P Bracken},
  journal= {arXiv preprint arXiv:math-ph/0607052},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-07-22T16:28:06.653Z