Hannay angle

In classical mechanics, the Hannay angle is a mechanics analogue of the whirling geometric phase (or Berry phase). It was named after John Hannay of the University of Bristol, UK. Hannay first described the angle in 1985, extending the ideas of the recently formalized Berry phase to classical mechanics.

Example

Further information: Geometric phase § The Foucault pendulum

The Foucault pendulum is an example from classical mechanics that is sometimes used to illustrate the Berry phase.

References

• Hannay John H. 1985 Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian J. Phys. A: Math. Gen. 18 221–30. doi:10.1088/0305-4470/18/2/011
• Marsden, Jerrold E.; Montgomery, Richard; Ratiu, Tudor S. (1990). Reduction, Symmetry, and Phases in Mechanics. AMS Bookstore. p. 69. ISBN 0-8218-2498-8.
• C. Pisani (1994). Quantum-mechanical Ab-initio Calculation of the Properties of Crystalline Materials (Proceedings of the IV School of Computational Chemistry of the Italian Chemical Society ed.). Springer. p. 282. ISBN 3-540-61645-4.
• Karin M Rabe; Jean-Marc Triscone; Charles H Ahn (2007). Physics of Ferroelectrics: a Modern Perspective. Springer. p. 2. ISBN 3-540-34590-6.

External links

• Professor John H. Hannay: Research Highlights. Department of Physics, University of Bristol.