Solvable relativistic quantum dots with vibrational spectra

DOI10.1007/S10582-005-0127-6zbMath1465.81033arXivquant-ph/0506017OpenAlexW3105340959MaRDI QIDQ5000498

Miloslav Znojil

Publication date: 14 July 2021

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0506017

zbMATH Keywords

Klein-Gordon equationpoint interactions\(\mathcal{PT}\) symmetry

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Non-Hermitian interaction representation and its use in relativistic quantum mechanics ⋮ Conditional observability

Cites Work

• A Krein space approach to \(PT\) symmetry
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum.
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• Solvable simulation of a double-well problem in   -symmetric quantum mechanics
• Relativistic supersymmetric quantum mechanics based on Klein–Gordon equation
• Solvability and -symmetry in a double-well model with point interactions

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