The large-\(g\) observability of the low-lying energies in the strongly singular potentials \(V(x)=x^2+g^2/x^6\) after their \(\mathcal PT\)-symmetric regularization

DOI10.1007/s10773-014-2052-6zbMath1308.81085arXiv1401.1435OpenAlexW2166531498MaRDI QIDQ490394

Miloslav Znojil

Publication date: 22 January 2015

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1435

zbMATH Keywords

unitarityquantum evolutionregularization by complexificationstrong-coupling dynamical regimestrongly singular forcestriple-Hilbert-space picture

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Ad hoc physical Hilbert spaces in quantum mechanics

Cites Work

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• Topology-controlled spectra of imaginary cubic oscillators in the large-\(\ell \) approach
• Perturbation theory of odd anharmonic oscillators
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Singular perturbation potentials
• Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation
• 1/N expansions in nonrelativistic quantum mechanics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Bender-Wu branch points in the cubic oscillator
• Equivalence of unstable anharmonic oscillators and double wells
• Asymptotic solvability of an imaginary cubic oscillator with spikes
• 𝒫𝒯-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials
• Script PScript T-symmetric regularizations in supersymmetric quantum mechanics
• 𝓟𝓣-symmetric quantum mechanics
• Solvability and -symmetry in a double-well model with point interactions
• The ODE/IM correspondence

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