Question

Linearity is an extremely useful property of equations in physics. If an equation is linear, it allows you to easily add together simple contributions from individual elements to get a solution for a more complex situation. One example of a simple linear equation in classical mechanics is F ma. If you find the individual accelerations of a particular body due to various individual forces you can then add those accelerations to find the acceleration due to all of the forces acting together If Newton's second law were not linear, introductory physics would be a much more difficult and confusing subject! Correct Part C The left side can be reordered into the form 2m dr The superposition principle for waves is another example of linearity of physical laws. The analysis of interference and diffraction phenomena would become terribly difficult if waves did not add together simply (i.e., if the equations were not linear). In fact, there are certain rare situations (e.g., light of extremely high intensity) in which waves no longer follow linear equations. These situations are far more difficult to analyze than standard wave problems and give many counterintuitive results Use the fact that ψ and ψ2 were given as solutions of the Schrödinger equation for the particular U and E in this problem to simplify the left side of the equation. Express your answer in terms of A, B, ψι, ψ2, and E View Available Hint(s) To demonstrate the linearity of the Schrödinger equation, you must show that Αψ1 + V2 , where A and B are constants, is a solution to the equation whenever i and 2 individually are solutions. Submit

Answer 1