a) Solve Schrodinger's equation for a particle of mass m in an infinite square well of width L with sides a tx = -L/2 and x = L/2. Write the solutions and calculate their energies. b) You measure the momentum of this particle. What are the possible outcomes and their probabilities?Show that the bs you found in part a are not eigen functions of ôn.v. c) You remove the particle and replace it with a particle of mass M. How does ý, energies, kinetic energies and momentums change from those of the particle with mass m? d) The results in part c indicate that the curvatures of y don't change with mass, but the kinetic energy does.Explain this. Also, the classical expression T = mv² /2 seems to indicate a different dependence of kinetic energy on mass than the eigenvalues of H. Show that there is no contradiction.

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a solve schrodingers equation for a particle of mass m in an infinite

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a) Solve Schrodinger's equation for a particle of mass m in an infinite square well of width L with sides a tx = -L/2 and x = L/2. Write the solutions and calculate their energies. b) You measure the momentum of this particle. What are the possible outcomes and their probabilities?Show that the bs you found in part a