Spacewalks and Amusement Rides: Illustrations of Geometric Phase

DOI10.4169/MATH.MAG.89.2.105zbMath1398.37046OpenAlexW2412342574MaRDI QIDQ4961609

Matthew Rave, Jeffrey K. Lawson

Publication date: 25 October 2018

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/math.mag.89.2.105

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Geometric phases in classical and quantum mechanics
• Reduction, symmetry, and phases in mechanics
• Significance of Electromagnetic Potentials in the Quantum Theory
• Quantal phase factors accompanying adiabatic changes
• Lectures on Mechanics
• Geometry and the Foucault Pendulum
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