Knowlton
MSE/ECE 310
Quiz 5 – Learning objectives
Topics:
• Lectures of course covering Chapter 3 of Kasap and Problem Set 4
• Quantum mechanics lecture notes
• Operators and complex numbers
• Normalization of wave functions
• Eigenvalue problems
• Expectation value
• Heisenberg Uncertainty Principle
• Fitting data, goodness of fit, physical validity of extracted parameters
• Standard deviation
• Particle in a box (infinite well)
Learning Objectives: For the quiz, the student should know how to:
• Explain the concepts of fitting data, the goodness of a fit to data, and the physical
validity of extracted parameters from fitting data.
• Use quantum mechanical operators to find eigenvalues.
• Explain the concepts of eigenvalue problems and linear operators.
• Find an eigenvalue using its corresponding operator and eigenfunction.
• Explain k-space or reciprocal space and how it relates to real space.
• Explain and use complex numbers.
• Determine an expectation value.
• Explain the similarities and differences between an average and an expectation
value.
• Normalize a wave function.
• Explain the idea of a quantum mechanical standard deviation and calculate it.
• Compare the product of standard deviations for position and momentum to the
Heisenberg Uncertainty principle.
• Transform from Cartesian to Spherical coordinates.
• Solve the particle in the box problem (infinite well problem).
• Use integral tables and perform integration without the use of a calculator.
• Explain and know the values of cos ( nπ ) or sin ( nπ ) (where n is a whole
number) without the use of a calculator.
• Explain the difference between an odd function and even function.