On non-degeneracy of the ground state of Schrödinger operators

DOI10.1007/BF02028443zbMath0353.35032MaRDI QIDQ1236270

Heinz-Willi Goelden

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/172560

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• Espaces de Dirichlet. I: Le cas élémentaire
• Degenerate and non-degenerate ground states for Schrödinger operators
• The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
• Strongly singular potentials and essential self-adjointness of singular elliptic operators in \(C^\infty_0(\mathbb{R}^n\setminus\{0\})\)
• Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
• Schrödinger operators with singular potentials
• Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. III
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems
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