2011
DOI: 10.1103/physreva.83.042518
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Quantal density-functional theory in the presence of a magnetic field

Abstract: We generalize the quantal density functional theory (QDFT) of electrons in the presence of an external electrostatic field E (r) = −∇v(r) to include an external magnetostatic field B(r) = ∇ × A(r), where {v(r), A(r)} are the respective scalar and vector potentials. The generalized QDFT, valid for nondegenerate ground and excited states, is the mapping from the interacting system of electrons to a model of noninteracting fermions with the same density ρ(r) and physical current density j(r), and from which the t… Show more

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Cited by 37 publications
(54 citation statements)
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References 34 publications
(41 reference statements)
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“…This feature has made it a testing ground for a wide variety of methods. [59][60][61][62] The Hooke's atom consists of two electrons in a parabolic potential. The Hamiltonian of that system can be written asĤ…”
Section: Calculations and Results Of Benchmark Systemsmentioning
confidence: 99%
“…This feature has made it a testing ground for a wide variety of methods. [59][60][61][62] The Hooke's atom consists of two electrons in a parabolic potential. The Hamiltonian of that system can be written asĤ…”
Section: Calculations and Results Of Benchmark Systemsmentioning
confidence: 99%
“…Such a unique mapping from the interacting to a model noninteracting particle system is possible only for the correct basic variables. In prior work [31], in which the interaction of the magnetic field with only the orbital angular momentum was considered [1,2] and for which case the basic variables are also {ρ(r), j(r)}, we have demonstrated such a mapping via quantal density functional theory (QDFT). There we mapped a ground state of the Hooke's atom in a magnetic field [14] to one of noninteracting fermions also in their ground state reproducing the same {ρ(r), j(r)}.…”
Section: Discussionmentioning
confidence: 99%
“…The "Quantal Newtonian" first law for each electron for the above interacting system states that the sum of the external F ext (r) and internal F int (r) fields experienced by each electron vanish [13,15]:…”
Section: Case Of External Static Electromagnetic Fieldmentioning
confidence: 99%
“…The components of the total energy E-the kinetic, electron-interaction, internal magnetic, and external-can each be expressed in integral virial form in terms of the respective fields [13].…”
Section: Case Of External Static Electromagnetic Fieldmentioning
confidence: 99%
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