arXiv Open Access 2003

Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators

Fritz Gesztesy Barry Simon

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Abstrak

Let V_0 be a real-valued function on [0,\infty) and V\in L^1([0,R]) for all R>0 so that H(V_0)= -\f{d^2}{dx^2}+V_0 in L^2([0,\infty)) with u(0)=0 boundary conditions has discrete spectrum bounded from below. Let \calM (V_0) be the set of V so that H(V) and H(V_0) have the same spectrum. We prove that \calM(V_0) is connected.

Topik & Kata Kunci

math.SP

Penulis (2)

Fritz Gesztesy

Barry Simon

Format Sitasi

APA MLA BibTeX

Gesztesy, F., Simon, B. (2003). Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators. https://arxiv.org/abs/math/0307007

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2003
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓