Spectral sum rules for the Schrödinger equation

DOI10.1016/j.aop.2020.168334zbMath1451.81237arXiv2008.09581OpenAlexW3095107940MaRDI QIDQ2216078

Paolo Amore

Publication date: 15 December 2020

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09581

zbMATH Keywords

perturbation theorySchrödinger equationquantum sum rule

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators

Cites Work

• Exact sum rules for inhomogeneous strings
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Spectral zeta functions for Aharonov-Bohm quantum billiards
• Dimensional expansion for the delta-function potential
• On the quantum zeta function
• Green’s Functions with Applications, Second Edition

This page was built for publication: Spectral sum rules for the Schrödinger equation