Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces

DOI10.1063/1.528205zbMath0665.47003OpenAlexW2039572346MaRDI QIDQ3816565

Christopher A. Beattie, Mary Beth Ruskai

Publication date: 1988

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

Full work available at URL: http://hdl.handle.net/10919/47055

zbMATH Keywords

Pauli exclusion principlelocation of the essential spectrumHunziker-Van Winter- Zhislin theorem for exact Hamiltonianslower bounds to bound-state energies of multiparticle atomic and molecular systems

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Molecular physics (81V55) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Bound states at threshold resulting from Coulomb repulsion

Cites Work

• Lower bounds to eigenvalues using operator decompositions of the form \(B*B\)
• Geometric methods in the quantum many-body problem. Nonexistence of very negative ions
• A convergent variational method of eigenvalue approximation
• Lower Bounds for Eigenvalues with Application to the Helium Atom
• Convergence theorems for intermediate problems
• Convergence of Essential Spectra for Intermediate Hamiltonians
• Truncations in the method of intermediate problems for lower bounds to eigenvalues
• Lower Bounds for Eigenvalues with Displacement of Essential Spectra
• Lower Bounds for Eigenvalues of Schrödinger's Equation

This page was built for publication: Location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces