History and Philosophy of Quantum Mechanics VI: Application in the Semiclassical Domain

Abstract

Based on the hydrodynamical interpretation of Bohmian quantum mechanics, computational models have been developed to simulate the key functions of MOSFET integrated circuits. Those numerical simulations originally evolved from a classical electron transport theory. Thus, with the classical efficiency intact, those simulations use the hydrodynamical equations of motion with an effective quantum correction from the quantum potential. The Bohmian computational approaches allow some hybrid numerical schemes in which the Schrödinger equation is first solved numerically, and then the particles' momentum can be assigned through the Bohmian guidance condition. This gives researchers a rare opportunity to visualize the trajectory of a particle under the standard quantum mechanics.