Photoluminescence under quasistationary excitation conditions in quantum wells and quantum-well wires

Magnetic Field Induction and Time Intervals of the Electron Transitions Approached in a Classical and Quantum-Mechanical Way

“…In this case the hole state, which is assumed to be lower, is recombined with an electron state of a higher energy. The electron transitions of this kind lead to the well-known luminescence processes associated with emission of a rather small amount of energy involved in a single transition [5][6][7][8], whereas higher amounts of energy accompany the recombinations due to the electrons entering transitions characteristic for the Auger effect, or the X-ray emission. In the first step, our aim is to present an approach to the time intervals between electron and hole states within a framework which is outside the quantum theory, so the approach is of a classical kind.…”

“…specialized here for the energy (2) of the free-electron states. It should be noted that formulae (6) are valid also in the presence of the magnetic field [9].…”

“…This result reduces (3a) to a simple relation between z k , z k  and t  . For, a substitution of the result of (7) together with (6) into Equation 3 should be a non-vanishing positive number for any 0 t   . Therefore, a finite transition time provides us with z k  equal to a positive number which cannot be made arbitrarily small.…”