Answered: What are the necessary conditions for…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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What are the necessary conditions for tunnelling?

Expert Solution

Step 1

Tunnelling is a phenomenon in quantum mechanics where a particle is able to penetrate through a potential barrier having energy that is higher than the kinetic energy of the incident particle.

According to classical mechanics, this is not possible, but it is still observed. There are certain conditions which need to be obeyed for quantum tunnelling.

Step 2

Three necessary conditions are:

The barrier should have a finite height and width of the barrier should be narrow. That is the barrier must be thin, having a finite height.
For quantum tunneling to be possible, it is required that particle energy should be less than the energy of the barrier, that is E < V.
Quantum tunneling is applicable only to the microscopic objects, such as protons or electrons, because only those particles have the wavefunctions which can penetrate the barrier and not the macroscopic ones.

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