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Exponential decay of eigenfunctions of Brown–Ravenhall operators

Sergey Morozov 2009 J. Phys. A: Math. Theor. 42 475206 (16pp)   doi: 10.1088/1751-8113/42/47/475206  Help

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Sergey Morozov
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
E-mail: morozov@math.ucl.ac.uk

Abstract. We prove the exponential decay of eigenfunctions of reductions of Brown–Ravenhall operators to arbitrary irreducible representations of rotation–reflection and permutation symmetry groups under the assumption that the corresponding eigenvalues are below the essential spectrum.

PACS numbers: 31.30.jc, 03.65.Ge

Mathematics Subject Classification: 81V55, 81Q10

Print publication: Issue 47 (27 November 2009)
Received 5 April 2009, in final form 13 August 2009
Published 6 November 2009

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