Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods

Details Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods

2012-04-11

arxiv.org/abs/1204.2334v1

Physics

Mathematical Physics

4 pages, 6 figure panels (2 figures)

Scientific paper

High-frequency solutions of one or several Schr\"odinger-type equations are well known to differ very little from the plane wave solutions $\exp[\pm ik x]$. That is, the potential terms impact the envelope of a high-frequency plane wave by only a small amount. However, when such equations are solved by a finite-difference method, the highest-frequency solutions may, under certain conditions, turn out to be localized. In this letter we explain this numerical artifact.

Affiliated with

Also associated with

No associations

Rating

Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spurious localized highest-frequency modes in Schrödinger-type equations solved by finite-difference methods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716843