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Effective Hamiltonians for atoms in very strong magnetic fields
Effective Hamiltonians for atoms in very strong magnetic fields
- Source :
- Journal of Mathematical Physics, Journal of Mathematical Physics, American Institute of Physics (AIP), 2006, 47, Journal of Mathematical Physics, 2006, 47
- Publication Year :
- 2006
- Publisher :
- HAL CCSD, 2006.
-
Abstract
- We propose three effective Hamiltonians which approximate atoms in very strong homogeneous magnetic fields $B$ modelled by the Pauli Hamiltonian, with fixed total angular momentum with respect to magnetic field axis. All three Hamiltonians describe $N$ electrons and a fixed nucleus where the Coulomb interaction has been replaced by $B$-dependent one-dimensional effective (vector valued) potentials but without magnetic field. Two of them are solvable in at least the one electron case. We briefly sketch how these Hamiltonians can be used to analyse the bottom of the spectrum of such atoms.<br />43 pages
- Subjects :
- 81Q10, 81Q15, 81V45
Magnetic domain
Magnetism
FOS: Physical sciences
Electron
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
01 natural sciences
Magnetization
Paramagnetism
symbols.namesake
Pauli exclusion principle
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Total angular momentum quantum number
Quantum mechanics
0103 physical sciences
FOS: Mathematics
Coulomb
Physics::Atomic Physics
0101 mathematics
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
010306 general physics
Mathematical Physics
Physics
Magnetic energy
Condensed matter physics
010102 general mathematics
[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Electron magnetic dipole moment
Atomic and Molecular Physics, and Optics
Functional Analysis (math.FA)
Magnetic field
Mathematics - Functional Analysis
Magnetic anisotropy
Homogeneous
symbols
Hamiltonian (quantum mechanics)
Magnetic dipole
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Physics, Journal of Mathematical Physics, American Institute of Physics (AIP), 2006, 47, Journal of Mathematical Physics, 2006, 47
- Accession number :
- edsair.doi.dedup.....c808c60b4ed5ba479c9f81340b5a3f8e