6533b822fe1ef96bd127d5df

RESEARCH PRODUCT

Quantum chemical study of electron‐phonon interaction in crystals

G. ZvejnieksE. Klotins

subject

PhysicsPhononElectronCondensed Matter PhysicsElectromagnetic radiationSecond quantizationMatrix (mathematics)symbols.namesakeAtomic orbitalQuantum electrodynamicsQuantum mechanicssymbolsHamiltonian (quantum mechanics)Wave function

description

Study of the interaction of the electromagnetic radiation with nonlocal potentials and the electron-phonon interaction is motivated by its key role in non-classical phenomena in dielectrics and semiconductors. Actual in second quantization is decoupling of the undesirable mixture of electronic and phonon birth/annihilation operators and obtaining the effect of radiation in presence of the nonlocal potentials. Here we transform an arbitrary effective electron- phonon Hamiltonian in two matrices – the matrix of a new interaction Hamiltonian and the matrix of the transformation. For a particular effective Hamiltonian formulated in second quantization these two matrices outline a starting point to decouple the electron-phonon interaction by transformation of the lattice Hamiltonian to a purely electronic one available for wave function and atomic orbital approaches. The impact of external electromagnetic radiation is incorporated through the birth/annihilation operators. (© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

https://doi.org/10.1002/pssc.201200872