Spectral asymptotics and Lamé spectrum for coupled particles in periodic potentials
DOI10.1007/s10884-021-10108-zarXiv2105.07577OpenAlexW3215954381WikidataQ115382937 ScholiaQ115382937MaRDI QIDQ6142329
Jing Zhou, Ki Yeun Kim, Mark Levi
Publication date: 21 December 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07577
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Topological and differential topological methods for problems in mechanics (70G40)
Cites Work
- Stability transitions for periodic orbits in Hamiltonian systems
- The periodic problem for the Korteweg-de Vries equation
- On the spectra of real and complex Lamé operators
- Stability of the Inverted Pendulum—A Topological Explanation
- VII—Further Investigations into the Periodic Lamé Functions
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