Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Schrödinger operators with $δ$-interactions supported on conical surfaces (1404.1764v1)

Published 7 Apr 2014 in math.SP, math-ph, and math.MP

Abstract: We investigate the spectral properties of self-adjoint Schr\"odinger operators with attractive $\delta$-interactions of constant strength $\alpha > 0$ supported on conical surfaces in ${\mathbb R}3$. It is shown that the essential spectrum is given by $[-\alpha2/4,+\infty)$ and that the discrete spectrum is infinite and accumulates to $-\alpha2/4$. Furthermore, an asymptotic estimate of these eigenvalues is obtained.

Summary

We haven't generated a summary for this paper yet.