Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms.
- Published in:
- Communications in Mathematical Physics, 2009, v. 286, n. 1, p. 179, doi. 10.1007/s00220-008-0660-9
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- Article
Works matching AU Séré, Eric
Results: 22
1
2
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications.
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- Communications in Partial Differential Equations, 2023, v. 48, n. 3, p. 355, doi. 10.1080/03605302.2023.2169938
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- Article
3
Looking for the Bernoulli shift.
- Published in:
- Annales de l'Institut Henri Poincaré C, 2016, v. 10, n. 5, p. 561, doi. 10.1016/S0294-1449(16)30205-0
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- Article
4
General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators.
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- Journal of the European Mathematical Society (EMS Publishing), 2006, v. 8, n. 2, p. 243, doi. 10.4171/jems/50
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- Publication type:
- Article
5
Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics.
- Published in:
- Archive for Rational Mechanics & Analysis, 2009, v. 192, n. 3, p. 453, doi. 10.1007/s00205-008-0144-2
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- Publication type:
- Article
6
Dirac–Coulomb operators with general charge distribution II. The lowest eigenvalue.
- Published in:
- Proceedings of the London Mathematical Society, 2021, v. 123, n. 4, p. 345, doi. 10.1112/plms.12396
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- Article
7
Spectral pollution and how to avoid it.
- Published in:
- Proceedings of the London Mathematical Society, 2010, v. 100, n. 3, p. 864, doi. 10.1112/plms/pdp046
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- Article
8
VARIATIONAL METHODS IN RELATIVISTIC QUANTUM MECHANICS.
- Published in:
- Bulletin (New Series) of the American Mathematical Society, 2008, v. 45, n. 4, p. 535, doi. 10.1090/S0273-0979-08-01212-3
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- Article
9
A variational approach to homolinic orbits in Hamiltonian systems.
- Published in:
- Mathematische Annalen, 1990, v. 288, n. 1, p. 133, doi. 10.1007/BF01444526
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- Article
10
Variational characterization for eigenvalues of Dirac operators.
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- Calculus of Variations & Partial Differential Equations, 2000, v. 10, n. 4, p. 321, doi. 10.1007/s005260010321
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- Article
11
Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations.
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- Calculus of Variations & Partial Differential Equations, 1996, v. 4, n. 3, p. 265, doi. 10.1007/BF01254347
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- Article
12
Domains for Dirac-Coulomb min-max levels.
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- Revista Mathematica Iberoamericana, 2019, v. 35, n. 3, p. 877, doi. 10.4171/RMI/1074
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- Publication type:
- Article
13
A New Definition of the Dirac–Fock Ground State.
- Published in:
- Communications in Mathematical Physics, 2023, v. 404, n. 3, p. 1275, doi. 10.1007/s00220-023-04862-y
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- Publication type:
- Article
14
Existence of Minimizers for the Dirac–Fock Model of Crystals.
- Published in:
- Archive for Rational Mechanics & Analysis, 2024, v. 248, n. 4, p. 1, doi. 10.1007/s00205-024-01988-8
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- Publication type:
- Article
15
Construction of the Pauli-Villars-Regulated Dirac Vacuum in Electromagnetic Fields.
- Published in:
- Archive for Rational Mechanics & Analysis, 2013, v. 208, n. 2, p. 603, doi. 10.1007/s00205-012-0609-1
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- Article
16
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2021, v. 55, n. 6, p. 2785, doi. 10.1051/m2an/2021069
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- Article
17
Existence of infinitely many homoclinic orbits in Hamiltonian systems.
- Published in:
- Mathematische Zeitschrift, 1992, v. 209, n. 1, p. 27, doi. 10.1007/BF02570817
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- Article
18
A local surjection theorem with continuous inverse in Banach spaces.
- Published in:
- Rendiconti Lincei - Matematica e Applicazioni, 2024, v. 35, n. 1, p. 1, doi. 10.4171/RLM/1028
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- Publication type:
- Article
19
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac--Coulomb operators.
- Published in:
- Journal of Spectral Theory, 2023, v. 13, n. 2, p. 491, doi. 10.4171/JST/461
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- Publication type:
- Article
20
Renormalization and Asymptotic Expansion of Dirac's Polarized Vacuum.
- Published in:
- Communications in Mathematical Physics, 2011, v. 306, n. 1, p. 1, doi. 10.1007/s00220-011-1271-4
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- Publication type:
- Article
21
A variational method for relativistic computations in atomic and molecular physics.
- Published in:
- International Journal of Quantum Chemistry, 2003, v. 93, n. 3, p. 149, doi. 10.1002/qua.10549
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- Article
22
A surjection theorem for maps with singular perturbation and loss of derivatives.
- Published in:
- Journal of the European Mathematical Society (EMS Publishing), 2021, v. 23, n. 10, p. 3323, doi. 10.4171/JEMS/1086
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- Publication type:
- Article