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Exponential decay of eigenfunctions of Brown–Ravenhall operators

Sergey Morozov

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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

02.30.Tb Operator theory

02.10.Ud Linear algebra

02.30.Rz Integral equations

02.30.Ik Integrable systems

02.30.Cj Measure and integration

MSC

45C05 Eigenvalue problems (See also 34Lxx, 35Pxx, 45P05, 47A75)

47A75 Eigenvalue problems (See also 49R50)

Subjects

Mathematical physics

Dates

Issue 47 (27 November 2009)

Received 5 April 2009, in final form 13 August 2009

Published 6 November 2009



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