2008•arXiv (Cornell University)Open access

Schrodinger Operators with Purely Discrete Spectrum

Barry Simon

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Abstract

We prove $-Δ+V$ has purely discrete spectrum if $V\geq 0$ and, for all $M$, $|\{x\mid V(x)

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We prove $-Δ+V$ has purely discrete spectrum if $V\geq 0$ and, for all $M$, $|\{x\mid V(x)

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Available abstract

We prove $-Δ+V$ has purely discrete spectrum if $V\geq 0$ and, for all $M$, $|\{x\mid V(x)

Key concepts: Discrete spectrum, Spectrum (functional analysis), Schrödinger's cat, Mathematics, Mathematical physics, Pure mathematics, Physics, Quantum mechanics

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