Convergent quantum normal forms, \(\mathcal PT\)-symmetry and reality of the spectrum
DOI10.4171/RLM/658zbMath1274.70025arXiv1206.0582MaRDI QIDQ374115
Sandro Graffi, Emanuela Caliceti
Publication date: 28 October 2013
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0582
Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Cites Work
- Unnamed Item
- Convergence of a quantum normal form and an exact quantization formula
- Autour de l'approximation semi-classique. (Around semiclassical approximation)
- Normal forms and quantization formulae
- Must a Hamiltonian be Hermitian?
- Harmonic Analysis in Phase Space. (AM-122)
- 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
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
This page was built for publication: Convergent quantum normal forms, \(\mathcal PT\)-symmetry and reality of the spectrum
