Data di Pubblicazione:
2019
Citazione:
On geometric quantum confinement in Grushin-type manifolds / M. Gallone, A. Michelangeli, E. Pozzoli. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 70:6(2019 Dec), pp. 158.1-158.17. [10.1007/s00033-019-1203-2]
Abstract:
We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre direct integral scheme, in combination with Weyl’s analysis in each fibre, thus fully characterising the regimes of presence and absence of essential self-adjointness of the associated Laplace–Beltrami operator.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Almost-Riemannian structure; Constant-fibre direct integral; Geodesically (in)complete Riemannian manifold; Geometric quantum confinement; Grushin manifold; Laplace–Beltrami operator; Self-adjoint operators in Hilbert space; Weyl’s limit-point limit-circle criterion
Elenco autori:
M. Gallone, A. Michelangeli, E. Pozzoli
Link alla scheda completa: