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a) Considering the boundary conditions for an infinite potential (length, L - pa

ID: 1287861 • Letter: A

Question

a) Considering the boundary conditions for an infinite potential (length, L - particle in a box) demonstrate the validity of this equation.

b) Determine the Energy of the confined levels in this system.

c) What is the Normalization constant for the n=2 state.

d) What is i) the probability of finding a particle in the confined n=2 state? And ii) What is the most likely position to find the particle?

The time independent schrodinger equation has the form : a) Considering the boundary conditions for an infinite potential (length, L - particle in a box) demonstrate the validity of this equation. b) Determine the Energy of the confined levels in this system. c) What is the Normalization constant for the n=2 state. d) What is i) the probability of finding a particle in the confined n=2 state? And ii) What is the most likely position to find the particle?

Explanation / Answer

energy of a system must always be greater than the minimum of the potential function. As a specific example of this we can look at the Schr