the transmission coefficient of an electron approaching a ba

the transmission coefficient of an electron approaching a barrier defines the fraction of its energy that will be transmitted across the barrier T F (explain)

In quantum mechanics, the transmission coefficient is defined as (J_t/J_i)², where J_t and J_i are the transmitted and incident probability density currents, respectively, T F (explain)

In tunneling processes an electron is transmitted over a potential barrier that has finite height and width. T F (explain)

Solution

1) While crossing the potential barrier , some part of the energy is used to overcome the barrier potential. The ratio of the energy left with the transmitted electron to the energy of the incident electron is known as transmission coefficient.

2) Ji represents the probability density of the number of electrons which are incident on a barrier to cross it, and jt represents the probability density of the number of electrons which crossed the potential barrier. The ratio (jt/ji)2 represents the transmission coefficient.

3) By considering the wave nature of the electron, there is probability of crossing the barrier potential by the electron even with less amount of energy. This phenomenon is called quantum tunneling.