Diophantine approximation and the solubility of the Schrödinger equation

DOI10.1016/S0375-9601(03)00867-3zbMath1040.35082arXivmath-ph/0210040OpenAlexW2050824943MaRDI QIDQ1396590

Simon Kristensen

Publication date: 6 July 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0210040

zbMATH Keywords

resonancesperiodic solutions of the Schrödinger equation on a two-dimensional torus

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

A problem in non-linear Diophantine approximation ⋮ Перiодичнi розв’язки у просторi Соболєва для рiвняння iз частинними похiдними, коефiцiєнти якого залежать вiд параметра ⋮ An inhomogeneous wave equation and non-linear Diophantine approximation ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

Cites Work

• Unnamed Item
• WKB analysis to global solvability and hypoellipticity
• The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
• Periodic Solutions of Certain Abstract Wave Equations
• Hausdorff dimension and a generalized form of simultaneous Diophantine approximation
• Metrical Theorems on Fractional Parts of Sequences

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