arXiv Open Access 2017

A New Class of Schrödinger Operators without Positive Eigenvalues

Alexandre Martin

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Abstrak

Following the proof given by Froese and Herbst in [FH82] with another conjugate operator, we show for a class of real potential that possible eigenfunction of the Schrödinger operator has to decay sub-exponentially. We also show that, for a certain class of potential, this bound can not be satisfied which implies the absence of strictly positive eigenvalues for the Schrödinger operator.

Topik & Kata Kunci

math.SP math-ph math.AP

Penulis (1)

Alexandre Martin

Format Sitasi

APA MLA BibTeX

Martin, A. (2017). A New Class of Schrödinger Operators without Positive Eigenvalues. https://arxiv.org/abs/1711.07381

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓