BooksecrCollected Volumepp. 381–387

Bound states of Schrödinger type operators with Heisenberg sub-Laplacian

  • Ari Laptev

    Imperial College London, UK

  • Andrei Velicu

    Imperial College London, UK
Bound states of Schrödinger type operators with Heisenberg sub-Laplacian cover

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Abstract

Using the technique from [8] we find a new constant in a Cwikel–Lieb–Rozenblum type inequality that estimate the number of negative eigenvalues of a Schrödinger operator involving the Heisenberg sub-Laplacian with a potential that is proportional to the characteristic function of a measurable set.