Quantum particle across Grushin singularity

A class of models is considered for a quantum particle constrained on degenerate Riemannian manifolds known as Grushin cylinders, and moving freely subject only to the underlying geometry: the corresponding spectral and scattering analysis is developed in detail in view of the phenomenon of transmis...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2021-05, Vol.54 (21), p.215201
Hauptverfasser: Gallone, Matteo, Michelangeli, Alessandro
Format: Artikel
Sprache:eng
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