Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds

DOI10.1002/mana.202100252zbMath1525.35086arXiv2104.07002OpenAlexW3153715629MaRDI QIDQ6073229

Ognjen Milatovic

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07002

zbMATH Keywords

self-adjointnessRiemann manifoldcovariant Schrödinger operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Path integrals and the essential self-adjointness of differential operators on noncompact manifolds
• Heat kernels in the context of Kato potentials on arbitrary manifolds
• Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds
• Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds
• On the essential self-adjointness of singular sub-Laplacians
• Method of operator cosine in the problem of essential selfadjointness of a nonsemibounded symmetric operator
• Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators
• A remark on the essential selfadjointness of a Schrödinger operator with a singular potential
• Self-adjointness of the Beltrami-Laplace operator on a complete paracompact Riemannian manifold without boundary
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Essential self-adjointness of Schrödinger operators bounded from below
• On self-adjointness of nonsemibounded Schrödinger operators
• ``Localized self-adjointness of Schrödinger type operators on Riemannian manifolds.
• Quantum confinement on non-complete Riemannian manifolds
• Self-adjointness, \(m\)-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds
• Covariant Schrödinger semigroups on Riemannian manifolds
• Tosio Kato's work on non-relativistic quantum mechanics. I
• On the connection of the classical and quantum mechanical completeness of a potential at infinity on complete Riemannian manifolds
• Halbbeschränkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
• Conditions for the self-adjointness of the Schrödinger operator
• Essential self-adjointness of powers of generators of hyperbolic equations
• Essential self-adjointness and the \(L^2\)-Liouville property
• An Introduction to Partial Differential Equations
• Kato’s inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds
• Schrödinger operators with singular magnetic vector potentials
• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds

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