Problem 1: Schrodinger\'s Equation - Particle in a box The time independent Schr
ID: 1769249 • Letter: P
Question
Problem 1: Schrodinger's Equation - Particle in a box The time independent Schrodinger Equation has the form: Partial^2 psi/Partial x^2= 2m/h^2[U(x)-E] psi 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
A)
The 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