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Elementary excitations in the multipole ordered state, which models the phaseIII in CeB6, are investigated by means of a generalized Holstein-Primakoffformalism. When different kinds of nearest-neighbor exchange interactionsbetween multipoles are comparable to each other, orbital-flip excitationsexhibit almost one-dimensional dispersion along the z axis. With high symmetryof the interactions, zero modes appear due to the macroscopic degeneracy of theground state. The next-nearest-neighbor dipole-dipole interaction, whichstabilizes the magnetic order of the phase III in CeB6, lifts the degeneracyand leads to gapfull excitation spectrum. When the octupole-octupolenext-nearest-neighbor interaction exists simultaneously, the spectrum showssoftening at \Gamma and Z points. These excitations may be probed by neutronscattering and ultrasonic measurements.Comment: 8 pages, 5 figures, 1 table, submitted to J. Phys. Soc. Jp

Spin-Orbital Wave Excitations in Orbitally Degenerate Exchange Model with Multipolar Interactions