PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere

Petr Siegl

doi:10.1007/s00020-011-1932-x

PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere

Petr Siegl^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	5-6
Number of pages	2
Journal	Integral Equations and Operator Theory
Volume	73
Issue number	1
DOIs	https://doi.org/10.1007/s00020-011-1932-x
Publication status	Published - 01 May 2012
Externally published	Yes

Keywords

Laplace-Beltrami operator on a sphere
non-self-adjoint boundary conditions
PT-symmetry
real spectrum

ASJC Scopus subject areas

Algebra and Number Theory
Analysis

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10.1007/s00020-011-1932-x

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abstract = "Numerical analysis indicates that all eigenvalues of a PT-symmetric Laplace-Beltrami operator in the strip on a sphere are real. However, a complete proof is not known.",

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KW - non-self-adjoint boundary conditions

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KW - real spectrum

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PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere

Abstract

Keywords

ASJC Scopus subject areas

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