The tunneling effect in quantum mechanics refers to the phenomenon where a particle can pass through a potential barrier that it classically shouldn't be able to surmount due to insufficient energy. This occurs because of the wave-like properties of particles, allowing them to have a non-zero probability of being found on the other side of the barrier.
Delta functional barriers are idealized potential barriers represented by Dirac delta functions. These barriers are characterized by having zero width but infinite height, with the area under the delta function being finite. They are often used in theoretical models because of their simplicity and the ease with which they can be mathematically handled.
Tunneling through two delta functional barriers involves a particle encountering two separate potential barriers. The probability of tunneling depends on the distance between the barriers and the energy of the particle. The wave function of the particle decays between the barriers and can interfere constructively or destructively, affecting the overall tunneling probability.
The tunneling probability in a two delta barrier system is influenced by several factors, including the height and width of the barriers (though width is zero for delta functions, the strength or area under the delta function is considered), the distance between the barriers, and the energy of the incident particle. Constructive or destructive interference of the wave function between the barriers also plays a significant role.
Resources and research papers on tunneling through two delta functional barriers can be found in academic journals such as Physical Review Letters, Journal of Physics, and other physics-related publications. Online databases like arXiv, Google Scholar, and university library portals are also excellent sources for accessing relevant literature. Additionally, textbooks on quantum mechanics often cover the topic in detail.