The Schrödinger equation as a moving curve

DOI10.1016/S0375-9601(99)00492-2zbMath0955.81015MaRDI QIDQ1966949

Radha Balakrishnan, Rossen Dandoloff

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
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• A soliton on a vortex filament