ABSTRACT
The most successful solution technique for the Boltzmann transport equation over the past few decades has been the ensemble Monte Carlo technique. This approach is based on converting the equation into a path integral, which is now susceptible to the use of random number techniques with weightings based on the nature of the physical processes involved. When one works with a Monte Carlo procedure for the Boltzmann equation, this equation is transformed into a path integral equation, which forms the basis for the subsequent Monte Carlo evaluation. In quantum information theory, entanglement has a precise definition, and a composite system is said to be in a non-entangled state, if its density matrix can be written as a linear combination of tensor products of sub-system density matrices. The most studied quantum device is the resonant-tunneling diode, in which a quantum well is bounded by two tunnel barriers, with the entire structure placed between two normal semiconductor layers.
