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\({\mathcal{PT}}\) -Symmetric Laplace–Beltrami Operator in the Strip on a Sphere

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Abstract

Numerical analysis indicates that all eigenvalues of a \({\mathcal{PT}}\) -symmetric Laplace–Beltrami operator in the strip on a sphere are real. However, a complete proof is not known.

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Reference

  1. Krejčiřík D., Siegl P.: \({\mathcal {PT}}\) -symmetric models in curved manifolds. J. Phys. A Math. Theor. 43(48), 485204 (2010)

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  1. Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068, Řež, Czech Republic

    Petr Siegl

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  1. Petr Siegl
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Correspondence to Petr Siegl.

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Siegl, P. \({\mathcal{PT}}\) -Symmetric Laplace–Beltrami Operator in the Strip on a Sphere. Integr. Equ. Oper. Theory 73, 5–6 (2012). https://doi.org/10.1007/s00020-011-1932-x

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  • DOI: https://doi.org/10.1007/s00020-011-1932-x

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