On the discrete spectrum of the Schrödinger operators of multiparticle systems

DOI10.1007/BF01608501zbMath0349.35061MaRDI QIDQ1234814

Israel Michael Sigal

Publication date: 1976

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

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Coupling constant thresholds in nonrelativistic quantum mechanics. II: Two cluster thresholds in N-body systems ⋮ Geometric methods in the quantum many-body problem. Nonexistence of very negative ions ⋮ Mathematical Theory of Single Channel Systems. Analyticity of Scattering Matrix ⋮ Existence of bound states of N-body problem in an optical lattice ⋮ On the discrete spectrum of the N-body quantum mechanical Hamiltonian. I ⋮ Discrete spectrum of multifrequency quantum systems possessing no stable subsystems ⋮ Geometric methods in multiparticle quantum systems ⋮ The symmetry and Efimov's effect in systems of three-quantum particles ⋮ On the finiteness of discrete spectrum in the n-particle problem

Cites Work

• Relatively compact interactions in many particle systems

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