PhysicsLogic / Kohn-Sham 1965

Density Functionals and Their Domain

Read a library minimum as explicit quantum-state constraints, then test what density does and does not determine.

Definitions and assumptions

Scope and physical limitations

This is an exact one-particle, three-site hopping model, not a continuum Coulomb system or a proof of general potential representability. The obstructed boundary density has zero-density sites; this is not a counterexample for strictly positive continuum densities. These constructed examples are not calculations attributed to the original papers.

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Examples and distinctions

Constructed examples of this model; each answer includes the Lean statement.

Exact root statement

context.selectedModel.NonvacuousGroundDensityVariationalAt
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Notes and questions

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Definitions, structures, and assumptions

Structures, classes, and inductive alternatives

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Definitions and domain choices

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Checked statements: parameters, hypotheses, and interpretation

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Constructors, projections, and other meaning dependencies

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External mathematical declarations

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