Overview
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Explore advanced applications of Fermi's Golden Rule in this 22-minute lecture from the nanoHUB-U Fundamentals of Nanoelectronics Part B course. Delve into multiple detailed examples demonstrating how Fermi's Golden Rule applies to quantum transport phenomena in nanoelectronic systems. Work through seven comprehensive problem sets that illustrate the mathematical framework and physical principles underlying transition rates between quantum states. Examine how this fundamental quantum mechanical principle governs electron transport in nanoscale devices where quantum effects dominate classical behavior. Build upon foundational concepts in quantum mechanics and statistical mechanics to understand how Fermi's Golden Rule enables calculation of scattering rates, tunneling probabilities, and other transport coefficients essential for analyzing modern nanotransistors. Connect theoretical quantum mechanical formalism to practical applications in nanoelectronics, where devices contain billions of transistors with active regions spanning only hundreds of atoms.
Syllabus
00:00 L3.7: Golden Rule
00:16 3.7a Fermi's golden rule
05:34 3.7b Fermi's golden rule
09:31 3.7c Fermi's golden rule
11:08 3.7d Fermi's golden rule
14:38 3.7e Fermi's golden rule
16:17 3.7f Fermi's golden rule
18:59 3.7g Fermi's golden rule
21:04 Up Next
Taught by
nanohubtechtalks