PT{\mathcal{PT}} -Symmetric Waveguides and the Lack of Variational Techniques

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• 作者：David Krej?i?ík (1) krejcirik@ujf.cas.cz
• 关键词：Robin Laplacian – non ; self ; adjoint boundary conditions – complex symmetric operator – PT{\mathcal{PT}} ; symmetry – waveguides – discrete and essential spectra
• 刊名：Integral Equations and Operator Theory
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：73
• 期：1
• 页码：1-2
• 全文大小：120.5 KB
• 参考文献：1. Borisov D., Krej?i?ík D.: -symmetric waveguides. Integral Equ. Oper. Theory 62, 489–515 (2008)
  2. Krej?i?ík D., K?í? J.: On the spectrum of curved quantum waveguides. Publ. RIMS, Kyoto University. 41, 757–791 (2005)
  3. Krej?i?ík D., Tater M.: Non-Hermitian spectral effects in a -symmetric waveguide. J. Phys. A Math. Theor. 41, 244013 (2008)
• 作者单位：1. Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068 ?e?, Czech Republic
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8989

文摘

On a model of waveguide with non-Hermitian Robin-type boundary conditions, we demonstrate the need for a robust method establishing the existence of isolated eigenvalues for non-self-adjoint operators possessing both essential and discrete spectrum.