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Keywords
(8)
Electromagnetic Field
Fine Structure Constant
Ground State Energy
Magnetic Field
Quantum Electrodynamics
Relativistic Quantum Mechanics
Leading Order
Thomas Fermi
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Ground State Energy of Large Atoms in a SelfGenerated Magnetic Field
Ground State Energy of Large Atoms in a SelfGenerated Magnetic Field,10.1007/s0022000908692,Communications in Mathematical Physics,László Erdos,Ja
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Ground State Energy of Large Atoms in a SelfGenerated Magnetic Field
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László Erdos
,
Jan Philip Solovej
We consider a large atom with nuclear charge Z described by nonrelativistic
quantum mechanics
with classical or quantized electromagnetic field. We prove that the absolute
ground state
energy, allowing for minimizing over all possible selfgenerated electromagnetic fields, is given by the nonmagnetic ThomasFermi theory to
leading order
in the simultaneous Z → ∞, α → 0 limit if Z α 2 ≤ κ for some universal κ, where α is the
fine structure
constant.
Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 294, no. 1, pp. 229249, 2010
DOI:
10.1007/s0022000908692
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References
(20)
Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong NonHomogeneous Magnetic Fields
(
Citations: 3
)
László Erdos
,
Jan Philip Solovej
Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 188, no. 3, pp. 599656, 1997
Stability of matter in magnetic fields
(
Citations: 39
)
Elliott H. Lieb
,
Michael Loss
,
Jan Philip Solovej
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 75, no. 6, pp. 985989, 1995
Stability of Quantum Electrodynamics with Nonrelativistic Matter
(
Citations: 18
)
Luca Bugliaro
,
Jürg Fröhlich
,
Gian Michele Graf
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 77, no. 17, pp. 34943497, 1996
Thomasfermi and related theories of atoms and molecules
(
Citations: 139
)
Elliott Lieb
Journal:
Reviews of Modern Physics  REV MOD PHYS
, vol. 53, no. 4, pp. 603641, 1981
Improved lower bound on the indirect Coulomb energy
(
Citations: 61
)
Elliott H. Lieb
,
Stephen Oxford
Journal:
International Journal of Quantum Chemistry  INT J QUANTUM CHEM
, vol. 19, no. 3, pp. 427439, 1981