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On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)
Kazuyuki Fujii, Tatsuo Suzuki
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 {\bf first nontriv…
More on the Isomorphism
Kazuyuki Fujii, Hiroshi Oike, Tatsuo Suzuki
In this paper we revisit the isomorphism to apply to some subjects in Quantum Computation and Mathematical Physics. The unitary matrix by Makhli…
Magnetic excitation in a new spin gap compound CuScGeO: Comparison to CuFeGeO
T. Masuda, G. J. Redhammer
The compound \CuScGeO is presented as a new member of the family of weakly coupled spin chain and dimer compounds \CuMGeO. Magnetic susceptibility, heat capacity, and neutron inela…
A Generalization of the Preceding Paper ``A Rabi Oscillation in Four and Five Level Systems"
Kazuyuki Fujii
In the preceding paper quant-ph/0312060 we considered a general model of an atom with n energy levels interacting with n-1 external laser fields and constructed a Rabi oscillation…
Neutron Scattering and magnetization studies of BaCuCoOCl: A decorated two-dimensional antiferromagnet
M. K. Ramazanoglu, P. S. Clegg, S. Wakimoto +2
BaCuOCl has two inter-penetrating square Cu sublattices, one with square root 2 times the in-plane spacing of the other. Isotropic magnetic interactions between the…
Universal Yang-Mills Action on Four Dimensional Manifolds
Kazuyuki Fujii, Hiroshi Oike, Tatsuo Suzuki
The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization whic…