GUANG-YU GUO2018-09-102018-09-10200400319015http://www.scopus.com/inward/record.url?eid=2-s2.0-20144371246&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/308897In an adiabatic approximation we propose a theoretical method which combines the thermal coherent state with a quantum procedure to study temperature dependence of the magnetic excited gap in the spin-Peierls chain with frustration based on the bosonized continuum Hamiltonian. In terms of the thermal coherent state the magnetic excitations at finite temperature can be viewed as the coherent excitations on an incoherent background constituted by the quasiparticles in thermal equilibrium. The formulations of the magnetic excited gap as a function of temperature are obtained analytically by solving a set of coupled equations. As an example, this method is applied to the spin-Peierls compound CuGeO3. It is shown that our theoretical results are well consistent with the inelastic neutron scattering experimental data for CuGeO3 in the normalized plane consisted of gap and temperature. ©2004 The Physical Society of Japan.CuGeO3; Frustration; Magnetic excitation; Spin-Peierls chaincopper; germanium; oxygen; article; boson; calculation; energy; magnetism; mathematical analysis; neutron scattering; physics; quantum mechanics; rotation; temperature dependence; temperature sensitivityjournal article10.1143/JPSJ.73.15612-s2.0-20144371246