Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity

DOI10.1063/1.5037126zbMath1409.81040arXiv1711.10655OpenAlexW3100894493WikidataQ114104007 ScholiaQ114104007MaRDI QIDQ4628729

Chaodong Xie, Shuangjie Peng, Xiaoming An

Publication date: 15 March 2019

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

Full work available at URL: https://arxiv.org/abs/1711.10655

zbMATH Keywords

Schrödinger equationvariational techniques

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fractional partial differential equations (35R11)

Related Items (5)

Existence and concentration of positive solutions to a fractional system with saturable term ⋮ Multi-peak semiclassical bound states for fractional Schrödinger equations with fast decaying potentials ⋮ Semi-classical states for fractional Schrödinger equations with magnetic fields and fast decaying potentials ⋮ Multiplicity of semiclassical states for fractional Schrödinger equations with critical frequency ⋮ Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials

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