Quick Navigation

Topics

Open Quantum Systems Decoherence

On the change of density of states in two-body interactions

arXiv
Authors: Bo Gao

Year

2016

Paper ID

42790

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We derive a general relation in two-body scattering theory that more directly relates the change of density of states (DDOS) due to interaction to the shape of the potential. The relation allows us to infer certain global properties of the DDOS from the global properties of the potential. In particular, we show that DDOS is negative at all energies and for all partial waves, for potentials that are more repulsive than +1/r2 everywhere. This behavior represents a different class of global properties of DDOS from that described by the Levinson's theorem.

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 derive a general relation in two-body scattering theory that more directly relates the change of density of states (DDOS) due to interaction to the shape of the potential.

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.

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

References & Citation Signals

Local Citation Graph (Related-Paper Links)

Current Paper #42790 #68456 Analytic Properties of the Jost... #68455 Mediative Fuzzy Logic: From Typ... #68453 Weak wave turbulence as a precu... #68449 Scale-Invariant Open Quantum Sy...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.