A regularity result for the bound states of \(N\)-body Schrödinger operators: blow-ups and Lie manifolds
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Publication:2689103
DOI10.1007/s11005-023-01648-0OpenAlexW3116895717MaRDI QIDQ2689103
Victor Nistor, Bernd Ammann, Jérémy Mougel
Publication date: 9 March 2023
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13902
Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47)
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Cites Work
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- On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials
- On Schrödinger operators with inverse square potentials on the half-line
- Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
- Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains
- Explicit Green operators for quantum mechanical Hamiltonians. I: The hydrogen atom
- Quasi-asymptotically conical Calabi-Yau manifolds
- On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives
- On radial Schrödinger operators with a Coulomb potential: general boundary conditions
- Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities
- Regularity and approximability of electronic wave functions
- Analytic structure of many-body Coulombic wave functions
- Asymptotic completeness of long-range \(N\)-body quantum systems
- Asymptotic behavior of generalized eigenfunctions in \(N\)-body scattering
- Structure of the resolvent for three-body potentials
- On the geometry of Riemannian manifolds with a Lie structure at infinity
- On the essential spectrum of elliptic differential operators
- Regularization of atomic Schrödinger operators with magnetic field
- Regularity for eigenfunctions of Schrödinger operators
- A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications
- Spectral geometry on manifolds with fibered boundary metrics. I: Low energy resolvent
- Pseudo-differential operators on manifolds with a Lie structure at infinity
- Sobolev spaces on Lie manifolds and regularity for polyhedral domains
- Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM
- Sharp regularity results for Coulombic many-electron wave functions
- A generalization of manifolds with corners
- Desingularization of Lie groupoids and pseudodifferential operators on singular spaces
- Propagation of singularities in many-body scattering
- Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case
- Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential
- On Schroedinger operators with multisingular inverse-square anisotropic potentials
- Analytic structure of solutions to multiconfiguration equations
- Scales, blow-up and quasimode constructions
- Blow-up in Manifolds with Generalized Corners
- Generalized Blow-Up of Corners and Fiber Products
- Fredholm Conditions on Non-compact Manifolds: Theory and Examples
- Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry
- Functorial compactification of linear spaces
- Analysis of Schr\"odinger operators with inverse square potentials I: regularity results in 3D
- BestN-term approximation in electronic structure calculations. II. Jastrow factors
- LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY
- \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
- A new proof of the analyticity of the electronic density of molecules
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