Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Parity-decomposition and Moment Analysis for Stationary Wigner Equation with Inflow Boundary Conditions

arXiv
Authors: Ruo Li, Tiao Lu, Zhangpeng Sun

Year

2016

Paper ID

43112

Status

Preprint

Abstract Read

~2 min

Abstract Words

120

Citations

N/A

Abstract

We study the stationary Wigner equation on a bounded, one-dimensional spatial domain with inflow boundary conditions by using the parity decomposition in (Barletti and weifel, Trans. Theory Stat. Phys., 507--520, 2001). The decomposition reduces the half-range, two-point boundary value problem into two decoupled initial value problems of the even part and the odd part. Without using a cutoff approximation around zero velocity, we prove that the initial value problem for the even part is well-posed. For the odd part, we prove the uniqueness of the solution in the odd L2-space by analyzing the moment system. An example is provided to show that how to use the analysis to obtain the solution of the stationary Wigner equation with inflow boundary conditions.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • We study the stationary Wigner equation on a bounded, one-dimensional spatial domain with inflow boundary conditions by using the parity decomposition in (Barletti and weifel...

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:1610.01729 [2] arXiv https://arxiv.org/abs/1610.01729 [3] Publisher https://arxiv.org/abs/1610.01729

Local Citation Graph (Related-Paper Links)

Current Paper #43112 #68455 Mediative Fuzzy Logic: From Typ... #68426 On the Approximate Non-Determin... #68456 Analytic Properties of the Jost... #68453 Weak wave turbulence as a precu...

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.