Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence

Spectral and resonance properties of Smilansky Hamiltonian

arXiv

Authors: Pavel Exner, Vladimir Lotoreichik, Miloš Tater

Year

2016

Paper ID

43042

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

N/A

Abstract

We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others. We derive a weak-coupling asymptotics of the ground state and add new insights by finding the discrete spectrum numerically. Furthermore, we show that the model has a rich resonance structure.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2016 reference point for readers tracking recent quantum research.
We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.02868 [2] arXiv https://arxiv.org/abs/1610.02868 [3] Publisher https://arxiv.org/abs/1610.02868

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.