[ ]: Studying the solution We are interested into the study of the transmission of the wave function as a function of the energy, so the final question will be to compute for each energy the ratio of the transmitted vs standing wave (the T factor seen in class), and to plot T vs the Energy Task 1 Plot T versus the energy E. Indicates into your graph where are located V_min, V_max, and V_min_outside Task 2 Comment what is physically happening for the energies located below V_min and above V_max Optional: if you want to test you, do not read the following task, and try to explain which kind of potential and particle we are studying. Hint: this is a nuclear physics problem Task 3 It is now time to explain a little what is going on. The potential This kind of potential goes to zero at the infinite, and presents two minima. It does represent the potential of an atom with some electrons located around a nucleus. The deep potential well represents a virtual particle "trapped" inside the nucleus, while the second potential well represents the effects of the electrons. The particle The fact that the potential is attractive (it has a minus sign) indicates that we are dealing with a particle which is positively charged. This corresponds to a positron, thus. The problem is thus to study the radioactivity beta+, where nuclei emits positrons randomly. The case where the energy is very high is not physically possible, because you would break the nucleus. Can you explain the remaining of the cases?

[ ]: Studying the solution We are interested into the study of the transmission of the wave function as a function of the energy, so the final question will be to compute for each energy the ratio of the transmitted vs standing wave (the T factor seen in class), and to plot T vs the Energy Task 1 Plot T versus the energy E. Indicates into your graph where are located V_min, V_max, and V_min_outside Task 2 Comment what is physically happening for the energies located below V_min and above V_max Optional: if you want to test you, do not read the following task, and try to explain which kind of potential and particle we are studying. Hint: this is a nuclear physics problem Task 3 It is now time to explain a little what is going on. The potential This kind of potential goes to zero at the infinite, and presents two minima. It does represent the potential of an atom with some electrons located around a nucleus. The deep potential well represents a virtual particle "trapped" inside the nucleus, while the second potential well represents the effects of the electrons. The particle The fact that the potential is attractive (it has a minus sign) indicates that we are dealing with a particle which is positively charged. This corresponds to a positron, thus. The problem is thus to study the radioactivity beta+, where nuclei emits positrons randomly. The case where the energy is very high is not physically possible, because you would break the nucleus. Can you explain the remaining of the cases?