Maximal determinants of Schrödinger operators on bounded intervals

DOI10.5802/jep.128zbMath1477.34113arXiv1909.05786OpenAlexW3030206788MaRDI QIDQ2208624

Yanyan Li

Publication date: 3 November 2020

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05786

zbMATH Keywords

Pontryagin maximum principlefunctional determinantextremal spectraWeierstraß \(\wp\)-function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

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• Optimal potentials for Schrödinger operators
• Extremals of determinants of Laplacians
• On the determinant of one-dimensional elliptic boundary value problems
• On functional determinants of Laplacians in polygons and simplicial complexes
• The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions
• Perturbation theory for linear operators.
• Singular trajectories and their role in control theory
• Control theory from the geometric viewpoint.
• The determinant of one-dimensional polyharmonic operators of arbitrary order
• R-torsion and the Laplacian on Riemannian manifolds
• Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces
• Hamiltonian operators with maximal eigenvalues
• Integration in Functional Spaces and its Applications in Quantum Physics
• A Theorem on Infinite Products of Eigenvalues of Sturm-Liouville Type Operators
• Determinants of Regular Singular Sturm - Liouville Operators
• On the Determinant of Elliptic Boundary Value Problems on a Line Segment
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• Critical metrics for the determinant of the Laplacian in odd dimensions
• Trace formula for Sturm-Liouville operators with singular potentials
• On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential

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