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The Impurity Polarizability and
The Impurity and Thermal Conductivity
The Impurity and Sound Waves
3 other sections not shown
analytic analytic continuation applied field approximation calculation cd+A chapter co-A co+A contribution coupling coefficients Debye model Debye relaxation defined definition determined diagonal elements dipole direct resonance processes discussed displacements dynamics easily effect eigenstates electric field energy equation of motion evaluated expression fourier series fourier series coefficient frequency dependence functional derivatives host defect lattice host lattice atoms iH0t iHo(t-t imaginary impurity Hamiltonian impurity polarizability impurity potential irreducible representations isotropic Debye level system Li+ ion lowest order matrix elements motion for G n2 nl nl n2 nln2 non-harmonic impurity normal mode Nowick obtained off-center perturbation theory phonon relation relaxation processes relaxation rate resonance term result second order second quantized selection rules solution for G substitutional lattice symmetry temperature dependence term in eq thermal conductivity thermal factors thermodynamic correlation functions thermodynamic Green's functions tion tonian transitions velocity change velocity of sound VHDL written XYg model