Particle on a torus knot: Anholonomy and Hannay angle

DOI10.1142/S0219887818500974zbMath1393.81017arXiv1703.10054MaRDI QIDQ4641540

Subir Ghosh

Publication date: 17 May 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10054

zbMATH Keywords

torus knotHannay angleanholonomy

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Wild embeddings (57M30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Geometric phases for classical and quantum dynamics: Hannay angle and Berry phase for loops on a torus

Cites Work

• Quantum field theory on toroidal topology: algebraic structure and applications
• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• ON QUANTUM MECHANICS ON COMPACT SPACE
• Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields
• A class of systems with measurable Hannay angles
• Significance of Electromagnetic Potentials in the Quantum Theory
• Geometric angle for rotated rotators, and the Hannay angle of the world
• The three-body problem and the Hannay angle
• Induction effects of torus knots and unknots
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
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