A WKB approach to the quantum multiband electron dynamics in the kinetic formalism

摘要: We derive a WKB-like asymptotic expansion of the multiband Wigner function. The model, derived in envelope function theory, is designed to describe dynamics semiconductor devices when interband conduction-valence transition cannot be neglected. hierarchy equations that lowest order consist two HamiltonJacobi corresponding classical point particles with positive and negative kinetic energy. Our methodology based on Van Vleck approach procedure used reduce numerical complexity evolution system. An approximate closed-form solution obtained by an iterative exploits different time scales which intraband dynamical variables evolve. tunneling mechanism appearing first expressed very simple mathematical form. By exploiting highly oscillating behaviour functions we expression probability. resulting formulation reveals particularly close description motion this formal analogy useful gain new physical insight profit method developed for systems. approximates are simulate quasi-distribution IRTD diode.