On the discrete spectrum of the N-body quantum mechanical Hamiltonian. I

DOI10.1007/BF01202524zbMath0403.47015MaRDI QIDQ1256189

Rafael Jose jun. Iorio

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger OperatorsDiscrete SpectrumBerezin-Sigal EquationsN-Body KinematicsPointwise Lower Bounds for The GroundstatePointwise Upper Bounds for Lq-Schrödinger EigenstatesQuantum Mechanical Hamiltonian

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Strong interaction, including quantum chromodynamics (81V05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

On the discrete spectrum of the N-body quantum mechanical Hamiltonian. II, On the finiteness of discrete spectrum in the n-particle problem, On the Schrödinger equation with time-dependent electric fields

Cites Work

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• On the discrete spectrum of the Schrödinger operators of multiparticle systems
• Geometric methods in multiparticle quantum systems
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• Riemann–Stieltjes Integration of Operator-Valued Functions with Respect to Vector-Valued Functions in Banach Spaces