Möbius structure of the spectral space of Schrödinger operators with point interaction

DOI10.1063/1.1415432zbMath1019.81014arXivquant-ph/0105066OpenAlexW2064676209MaRDI QIDQ2774760

Tamás Fülöp, Taksu Cheon, Izumi Tsutsui

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0105066

zbMATH Keywords

orbifoldspectral dualitynonholonomy\(U(2)\) family of self-adjoint extensions

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

Bloch vector, disclination and exotic quantum holonomy ⋮ PHYSICS OF SINGULAR POINTS IN QUANTUM MECHANICS ⋮ Exotic quantum holonomy induced by degeneracy hidden in complex parameter space ⋮ Quantum abacus ⋮ Contact interactions and Kronig–Penney models in Hermitian and $ \boldsymbol {\mathcal {PT}}$ symmetric quantum mechanics ⋮ Quantum tunneling and caustics under inverse square potential ⋮ Controllable resonant tunnelling through single-point potentials: a point triode ⋮ Supersymmetric quantum mechanics with a point singularity ⋮ Exotic quantum holonomy in Hamiltonian systems ⋮ HIDDEN SCALE IN QUANTUM MECHANICS ⋮ Inequivalent quantizations of the N=3 Calogero model with scale and mirror-S3 symmetry

Cites Work

• Orbifolds as configuration spaces of systems with gauge symmetries
• Symmetries of Schrödinger operators with point interactions
• A free particle on a circle with point interaction
• Fundamental solution of the heat and Schrödinger equations with point interaction
• Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
• Symmetry, duality, and anholonomy of point interactions in one dimension

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