Please solve all the sub questions :)
Posted: Thu Jun 09, 2022 3:18 pm
Please solve all the sub questions 
4. Let us consider a quantum particle of mass m trapped in the ground state of a one- dimensional infinite square-well potential of size a. (a) What are the probabilities of detecting the particle in the left one-third region and in the middle-third region of the one-dimensional box? (b) How do the probabilities for the ground state found in (a) change if the particle is in a highly excited state? (c) What can you conclude about the quantum to classical transition limit?

4. Let us consider a quantum particle of mass m trapped in the ground state of a one- dimensional infinite square-well potential of size a. (a) What are the probabilities of detecting the particle in the left one-third region and in the middle-third region of the one-dimensional box? (b) How do the probabilities for the ground state found in (a) change if the particle is in a highly excited state? (c) What can you conclude about the quantum to classical transition limit?