Radial sign-changing solution for fractional Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Fractional Schrödinger equation.
Some properties of the fractional Schrödinger equation are studied. We prove the Hermiticity of the fractional Hamilton operator and establish the parity conservation law for fractional quantum mechanics. As physical applications of the fractional Schrödinger equation we find the energy spectra of a hydrogenlike atom (fractional "Bohr atom") and of a fractional oscillator in the semiclassical a...
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and Applied Analysis 3 Definition 2.1. Let E be a real Banach space. A nonempty closed convex set P ⊂ E is called a cone of E if it satisfies the following two conditions: 1 x ∈ P, σ > 0 implies σx ∈ P ; 2 x ∈ P,−x ∈ P implies x θ. Definition 2.2. An operator is called completely continuous if it is continuous and maps bounded sets into precompact sets. Let E be a real Banach space, E∗ the dual...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2015
ISSN: 1078-0947
DOI: 10.3934/dcds.2016.36.499