Transcription of Quantum Tunneling
{{id}} {{{paragraph}}}
Example: tourism industry
Quantum Tunneling
Quantum TunnelingIn this chapter, we discuss the phenomena which allows an electron to quan-tum tunnel over a classically forbidden eV9 eV99% of timeRolls over10 eV1% of the time10 eVRolls backThis is a strikingly non-intuitive process where small changes in either theheight or width of a barrier create large changes the Tunneling current of particlescrossing the barrier. Quantum Tunneling controls natural phenomena such asradioactive decay where a factor of three increase in the energy released duringa decay is responsible for a 1020fold increase in the decay rate. The inherentsensitivity of the Tunneling process can be exploited to produce photographsof individual atoms using scanning Tunneling microscopes (STM) or produceextremely rapid amplifiers using Tunneling diodes. It is an area of physics whichis as philosophically fascinating as it is technologically of this chapter deals withcontinuumrather than bound state bound state problems, one is usually concerned with solving for possible sta-tionary state energies.
density ρand the velocity charge velocity ~v according to J~= ρ~v.Its natural to relate the current density ρwith the electron charge eand the quantum PDF(x) according to ρ = eΨ∗(x)Ψ(x).It is equally natural to describe the velocity by ˆp/mwhere (in 3 dimensions) ˇp= −i¯h(∂/∂x) →−i¯h∇~.Of course ∇~ is an operator which needs to operate on part of ρ.
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: