L2-lower bounds to solutions of one-body Schrödinger equations

DOI10.1017/S0308210500015778zbMath0547.35038OpenAlexW2320606761MaRDI QIDQ3338634

Thomas Hoffmann-Ostenhof, Richard Froese, Maria Hoffmann-Ostenhof, Ira W. Herbst

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015778

zbMATH Keywords

Schrödinger operatorlower boundseigenfunctioncompact support

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
• \(L^ p-\)inequalities for the Laplacian and unique continuation
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI: Asymptotics in the two-cluster region
• Lower bounds for solutions of Schrödinger equations
• Schrödinger semigroups
• Jwkb and Related Bounds on Schrödinger Eigenfunctions
• Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian

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