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Using continued fractions we study the ground state properties of thespin-1/2 Ising chain in a transverse field with periodically varyinginteraction strengths and external fields. We consider in detail the chainhaving the period of modulation of interactions equals 2 and compare theresults obtained with those corresponding to the spin-1/2 isotropic XY chain ina transverse field. In contrast to the behaviour of the transverse XY chain,the transverse Ising chain does not exhibit a step-like magnetization vs. fielddependence caused by the alternation of bonds, its susceptibility exhibits alogarithmic singularity at the field determined by interaction strengths, andit is stable with respect to spin-Peierls dimerization.Comment: 11 pages, latex, 4 figure

The ground state properties of the spin-½ transverse Ising chain with periodically varying bonds and fields