Unique continuation for the magnetic Schrödinger equation

• The unique-continuation property from sets of positive measure is here proven for the many-body magnetic Schrodinger equation. This property guarantees that if a solution of the Schrodinger equation vanishes on a set of positive measure, then it is identically zero. We explicitly consider potentials written as sums of either one-body or two-body functions, typical for Hamiltonians in many-body quantum mechanics. As a special case, we are able to treat atomic and molecular Hamiltonians. The unique-continuation property plays an important role in density-functional theories, which underpins its relevance in quantum chemistry.

Ämnesord

NATURVETENSKAP  -- Kemi -- Teoretisk kemi (hsv//swe)

NATURAL SCIENCES  -- Chemical Sciences -- Theoretical Chemistry (hsv//eng)

Nyckelord

Hohenberg-Kohn theorem

Kato class

magnetic Schrodinger equation

molecular Hamiltonian

unique-continuation property

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