# Looking for resources about tunneling effect on two delta functional barriers

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• Andre_86
Andre_86
Hello. I have 2 questions. First, I've read theory of tunneling effect but I need theory of two and more delta functional barriers. How do you think where can I read more about it? I need it for superconductors. And second, where can I find how to add magnetic field to theory of it? How it influence on wave function in zones between potential barriers.

## What is the tunneling effect in quantum mechanics?

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.

## What are delta functional barriers?

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.

## How does tunneling occur through two delta functional barriers?

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.

## What factors influence the tunneling probability in a two delta barrier system?

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.

## Where can I find resources or research papers on tunneling through two delta functional barriers?

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.

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