Semiclassical description of resonant tunneling

Fermion Tunneling Beyond Semiclassical Approximation

Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in [11] for the scalar particle, Hawking radiation as tunneling of Dirac particle through an event horizon is analysed. We show that, as before, all quantum corrections in the single particle action are proportional to the usual semiclassical contribution. We also compute the modifications to the Hawking tempe...

Unstable semiclassical trajectories in tunneling.

Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on Planck's variant a...

Quantum Tunneling Beyond Semiclassical Approximation

Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal fiel...

THz resonant-tunneling diodes

Resonant Tunneling throughQuantumDots

Motivated by recent experiments we analyse a new setup of capacitively coupled semiconductor quantum dots. We identify a region where Kondo-assisted tunneling should be observable. We nd an eeective mapping to a single quantum dot with controllable multi-level structure. We study electron transport through strongly coupled quantum dots in the presence of strong Coulomb repulsion and coupling to...