debye theory v* in the text we derived the low-temperature debye heat capacity assuming that the longitudinal and transverse sound velocities are the same and also that the sound velocity is independent of the direc- tion the sound wave is propagating (a) suppose the transverse velocity is vt and the longitudinal velocity isv. how does this change the debye result? state any assumptions you make. (b) instead suppose the velocity is anisotropic. for example, suppose in the î, y and z direction, the sound velocity is vz, vy and vz respectively. how might this change the debye result?