Schrödinger's equation and ``bike tracks -- a connection

DOI10.1016/j.geomphys.2016.05.003zbMath1376.34017arXiv1405.1741OpenAlexW2963666650MaRDI QIDQ2400272

Mark Levi

Publication date: 28 August 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1741

zbMATH Keywords

kinematicsSchrödinger equationgeneral nonlinear ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Kinematics of a rigid body (70B10) Dynamics of multibody systems (70E55)

Related Items (1)

Book review of: R. D. Mauldin, The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd ed.

Cites Work

• Unnamed Item
• Unnamed Item
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• The periodic problem for the Korteweg-de Vries equation
• Geometry of the Prytz planimeter
• Resonance tongues in Hill's equations: A geometric approach
• Geometry and physics of averaging with applications
• Geometrical aspects of stability theory for Hill's equations
• Tire track geometry: variations on a theme
• On the determination of a differential equation from its spectral function
• Remarks on the perturbation theory for problems of Mathieu type
• On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks
• Hill’s Equation with a Large Potential
• Asymptotic Behavior of Stability Regions for Hill’s Equation
• Stability of the Inverted Pendulum—A Topological Explanation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations
• Integrals of nonlinear equations of evolution and solitary waves
• Instability intervals of Hill's equation

This page was built for publication: Schrödinger's equation and ``bike tracks -- a connection