\({\mathcal{PT}}\)-symmetric Laplace-Beltrami operator in the strip on a sphere

DOI10.1007/S00020-011-1932-XzbMath1252.58019OpenAlexW2067392476MaRDI QIDQ453666

Petr Siegl

Publication date: 27 September 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1932-x

zbMATH Keywords

real spectrum\({\mathcal{PT}}\)-symmetryLaplace-Beltrami operator on a spherenon-self-adjoint boundary conditions

Mathematics Subject Classification ID

Problem books (00A07) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• {\mathcal {PT}}-symmetric models in curved manifolds

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