\(\mathcal{PT}\)-symmetric strings

DOI10.1016/j.aop.2014.01.013zbMath1303.81082arXiv1306.1419OpenAlexW1529302902MaRDI QIDQ486503

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 January 2015

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1419

zbMATH Keywords

critical parameters\(\mathcal{PT}\)-symmetrycomplex borg stringcomplex densityexact sum rulesone-dimensional strings

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly solvable models; Bethe ansatz (82B23) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (2)

Exact sum rules for inhomogeneous systems containing a zero mode ⋮ “Striped” rectangular rigid box with Hermitian and non-Hermitian PT symmetric potentials

Cites Work

• Exact sum rules for inhomogeneous strings
• The string of variable density: perturbative and non-perturbative results
• The string of variable density: further results
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards
• Normal Form of Antiunitary Operators
• Spectral zeta functions for Aharonov-Bohm quantum billiards
• Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results
• Variational collocation on finite intervals

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