Finiteness of the number of discrete eigenvalues of the Schrödinger operator for a three particle system

DOI10.2977/prims/1195194752zbMath0211.13702OpenAlexW4246652835MaRDI QIDQ2544050

Jun Uchiyama

Publication date: 1969

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195194752

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Zhislin's theorem revisited ⋮ Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator ⋮ On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators ⋮ Essential and discrete spectra of the three-particle Schrödinger operator on a lattice ⋮ Geometric methods in the quantum many-body problem. Nonexistence of very negative ions ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Geometric methods in multiparticle quantum systems ⋮ Finiteness of the number of discrete eigenvalues of the Schrödinger operator for a three particle system. II ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ On the discrete spectrum of the Hamiltonian of an n-particle quantum system ⋮ Some geometric spectral properties of N-body Schrödinger operators ⋮ On the number of bound states of a bosonic \(N\)-particle Coulomb system

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• On the spectra of integral operators connected with Boltzmann and Schrödinger operators
• On the Existence of Solutions of the Helium Wave Equation
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