Timeline for Software for Computing Baker-Campbell-Hausdorff
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 23, 2014 at 11:41 | vote | accept | Jesse Wolfson | ||
| Mar 28, 2014 at 1:11 | comment | added | Selene Routley | There is the paper K. Engø, "On the BCH-formula in so(3)", BIT Numerical Mathematics, 41, number 3, 2001, pp629-632. Its technique is directly applicable (more simply) to $\exp:su(2)\to SU(2)$, you simply put the $SU(2)$ Rodrigues formula instead of the $SO(3)$ one into Engo's procedure. | |
| Jan 31, 2014 at 22:16 | review | Suggested edits | |||
| Jan 31, 2014 at 22:17 | |||||
| Jan 31, 2014 at 20:48 | history | edited | user9072 |
edited tags
|
|
| Nov 3, 2011 at 10:09 | answer | added | Vít Tuček | timeline score: 3 | |
| Nov 3, 2011 at 0:10 | comment | added | Steve Huntsman | arxiv.org/abs/math-ph/9905012 | |
| Nov 2, 2011 at 20:48 | comment | added | MTS | LiE does not have native facility for doing BCH. | |
| Nov 2, 2011 at 19:13 | comment | added | Jesse Wolfson | @Ryan, SU(2) is a warm-up for SU(n), so while I could do things by hand here, I figured it's worth my while to find a good computer program now. Theo, thanks for the mention on LiE. I'll take a look at it. | |
| Nov 2, 2011 at 18:49 | answer | added | H. Arponen | timeline score: 3 | |
| Nov 2, 2011 at 18:02 | comment | added | Theo Johnson-Freyd | I've been told that LiE is a good software package for many Lie-theoretic problems. I've never used it myself, so I'll leave this as a comment, rather than an answer. | |
| Nov 2, 2011 at 17:46 | answer | added | Peter Dalakov | timeline score: 1 | |
| Nov 2, 2011 at 17:40 | comment | added | Ryan Budney | I suppose in principle there's a nice closed-form answer if you use the above approach. You can determine the axis and angle of rotation by solving some linear and a quadratic equation. | |
| Nov 2, 2011 at 17:35 | comment | added | Ryan Budney | For $SU(2)$, rather than using BCH, why not just exponentiate the matrices, multiply them and compute the logarithm? The logarithm is the most involved step, but it basically amounts to computing the eigenvalues and eigenvectors. This is a relatively straightforward task. Do you want the answer to be in a particular form? | |
| Nov 2, 2011 at 17:27 | history | asked | Jesse Wolfson | CC BY-SA 3.0 |