Dimensions of solution spaces of the Schrödinger equation with finite Dirichlet integral on non-compact Riemannian manifolds

DOI10.1134/S1995080219090142zbMath1431.81065OpenAlexW2979235889WikidataQ115247372 ScholiaQ115247372MaRDI QIDQ2287667

A. G. Losev, V. V. Filatov

Publication date: 21 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219090142

zbMATH Keywords

Riemannian manifoldselliptic equationsDirichlet integralstationary Schrödinger equationmassive sets

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

On capacitary characteristics of noncompact Riemannian manifolds ⋮ A note on some remarkable differential equations on a Riemannian manifold

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