Quantum Theory of Tunneling

Bonding xenon and krypton on the surface of uranium dioxide single crystal

“…Omitting technical details [22] the transmission coeffi cient for a particle tunnelling through a single potential barrier is:…”

Performance Analysis of Hybrid Ge-Si Based Mosfet with Different Gate Oxide Thickness and Material

“…The capacitance of oxide layer is proportional to the dielectric constant and inversely proportional to dielectric thickness. A higher dielectric thickness reduces the quantum tunneling [3] current through the dielectric between the gate and the channel.…”

Tunneling of a diatomic molecule incident upon a potential barrier.

“…Next, Schweidler showed that the decay of a nucleus does not depend on its history or formation and that the time at which a nucleus decays can only be predicted statistically [7]. Over the next several years other studies showed that the half-life of a radioactive material does not depend on external variables such as pressure, temperature, and chemical environment [2].…”

“…To summarize, in this thesis the study of the tunneling of a diatomic molecule is expanded from the above studies in five key ways: (i) we employ a more realistic binding potential for the molecule, (ii) we apply the method of variable reflection and transmission amplitude to obtain the physical results of interest in an efficient manner [2], (iii) we study the effect of transitions between bound states during the process of tunneling, (iv)…”

“…Such models are usually the result of simplifying a more complex three-dimensional system to a one-dimensional system. The study of tunneling in two and three dimensions is not straightforward and there is less research activity in this area [2].…”