The real spectrum of the imaginary cubic oscillator: an expository proof

DOI10.1007/s00023-014-0325-5zbMath1305.81082arXiv1310.7767OpenAlexW2049457107MaRDI QIDQ2513262

Ilario Giordanelli, Gian Michele Graf

Publication date: 2 February 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7767

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Pseudospectra in non-Hermitian quantum mechanics ⋮ Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum ⋮ WKB asymptotics and spectral deformation in semi-classical limit ⋮ ᵉe-symmetric second order differential operators

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• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Remarks on the -pseudo-norm in -symmetric quantum mechanics

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