On the magic matrix by Makhlin and the B-C-H formula in SO(4)

Kazuyuki Fujii; Tatsuo Suzuki

doi:10.1142/S0219887807002430

On the magic matrix by Makhlin and the B-C-H formula in SO(4)

Kazuyuki Fujii, Tatsuo Suzuki

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.

Original language	English
Pages (from-to)	897-905
Number of pages	9
Journal	International Journal of Geometric Methods in Modern Physics
Volume	4
Issue number	6
DOIs	https://doi.org/10.1142/S0219887807002430
Publication status	Published - 2007 Sep
Externally published	Yes

Keywords

Baker-Campbell-Hausdorff formula
Lie group
Magic matrix

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1142/S0219887807002430

Fingerprint Dive into the research topics of 'On the magic matrix by Makhlin and the B-C-H formula in SO(4)'. Together they form a unique fingerprint.

Cite this

@article{a01edc56cfc647ddb9f6c40a2f504bc7,

title = "On the magic matrix by Makhlin and the B-C-H formula in SO(4)",

abstract = "A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.",

keywords = "Baker-Campbell-Hausdorff formula, Lie group, Magic matrix",

author = "Kazuyuki Fujii and Tatsuo Suzuki",

year = "2007",

month = sep,

doi = "10.1142/S0219887807002430",

language = "English",

volume = "4",

pages = "897--905",

journal = "International Journal of Geometric Methods in Modern Physics",

issn = "0219-8878",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "6",

}

TY - JOUR

T1 - On the magic matrix by Makhlin and the B-C-H formula in SO(4)

AU - Fujii, Kazuyuki

AU - Suzuki, Tatsuo

PY - 2007/9

Y1 - 2007/9

N2 - A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.

AB - A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.

KW - Baker-Campbell-Hausdorff formula

KW - Lie group

KW - Magic matrix

UR - http://www.scopus.com/inward/record.url?scp=34548689643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548689643&partnerID=8YFLogxK

U2 - 10.1142/S0219887807002430

DO - 10.1142/S0219887807002430

M3 - Article

AN - SCOPUS:34548689643

VL - 4

SP - 897

EP - 905

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

SN - 0219-8878

IS - 6

ER -