Properties of non-Hermitian quantum field theories.

DOI10.5802/AIF.1971zbMath1069.81030OpenAlexW2464929741MaRDI QIDQ1415559

Carl M. Bender

Publication date: 8 December 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_4_997_0

zbMATH Keywords

CPTnon-hermitian

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Path integrals in quantum mechanics (81S40) Inverse scattering problems in quantum theory (81U40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Axiomatic quantum field theory; operator algebras (81T05) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (1)

On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators

Cites Work

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• Two-point Green's function in PT-symmetric theories
• On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
• Complex Extension of Quantum Mechanics
• Generalized PT symmetry and real spectra
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Space of state vectors in 𝒫𝒯-symmetric quantum mechanics
• 𝓟𝓣-symmetric quantum mechanics
• A new perturbative approach to nonlinear problems
• Quantum complex Hénon-Heiles potentials
• Bound states of non-Hermitian quantum field theories

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