On the first trace formula for Schrödinger operators

DOI10.4171/JST/348zbMath1487.34166arXiv2006.12206OpenAlexW3137119929MaRDI QIDQ2247198

Yaroslav Volodymyrovych Mykytyuk, Rostyslav O. Hryniv

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12206

zbMATH Keywords

Schrödinger operatortrace formulaintegrable potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Related Items (1)

Theorems of Szegö-Verblunsky type in the multivariate and almost periodic settings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Why the theorem of Scheffé should be rather called a theorem of Riesz
• Spectral theory of ordinary differential operators
• Bounded solutions and absolute continuity of Sturm-Liouville operators
• A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator
• On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\)
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Inverse scattering on the line
• TRACE FORMULAS AND CONSERVATION LAWS FOR NONLINEAR EVOLUTION EQUATIONS
• Method for Solving the Korteweg-deVries Equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• A Useful Convergence Theorem for Probability Distributions

This page was built for publication: On the first trace formula for Schrödinger operators