A O Barut et al 1994 J. Phys. A: Math. Gen. 27 6799 doi:10.1088/0305-4470/27/20/017
A O Barut, J R Zeni and A Laufer
Show affiliationsIn this article, we extend our previous results for the orthogonal group SO(2,4) to its homomorphic group SU(2,2). Here we present a closed finite formula for the exponential of a 4*4 traceless matrix, which can be viewed as the generator (Lie algebra elements) of the SL(4,C) group. We apply this result to the SU(2,2) group, the lie algebra of which can be represented by Dirac matrices, and discuss how the exponential map for SU(2,2) can be written by means of Dirac matrices.
65Q05 Difference and functional equations, recurrence relations
15A18 Eigenvalues, singular values, and eigenvectors
20K30 Automorphisms, homomorphisms, endomorphisms, etc.
05C30 Enumeration of graphs and maps
17B45 Lie algebras of linear algebraic groups (See also 14Lxx and 20Gxx)
Issue 20 (21 October 1994)
A O Barut et al 1994 J. Phys. A: Math. Gen. 27 6799
E van Hullebusch et al 2009 J. Phys.: Conf. Ser. 190 012184
B K Johnson 1934 J. Sci. Instrum. 11 384
D Lützenkirchen-Hecht et al 2009 J. Phys.: Conf. Ser. 190 012114
S Takahashi et al 2007 J. Phys. D: Appl. Phys. 40 7492
P J Kipp and Zonen 1934 J. Sci. Instrum. 11 396
Alexander Moroz and Adriaan Tip 1999 J. Phys.: Condens. Matter 11 2503
O Hahtela et al 2005 J. Micromech. Microeng. 15 1848
S C Lee and K F Tsang 2009 Semicond. Sci. Technol. 24 115015
Sébastien Dusuel and Götz S Uhrig 2004 J. Phys. A: Math. Gen. 37 9275