# PHYS 225 Modern Physics • 5 Cr.

## Description

Presents the special theory of relativity, key phenomena, and experiments of modern physics that led to a break from classical views. Includes an introduction to quantum mechanics. Research based active engagement, pedagogical methods and hands on activities assist conceptual development. Prerequisite: MATH& 153 or MATH& 254 and PHYS 123. Recommended: MATH 238 or concurrent enrollment.

## Outcomes

After completing this class, students should be able to:

• Special Relativity
• Differentiate between Galilean Relativity and Special Relativity
• Correctly calculate time dilation and length contraction effects
• Represent appropriate quantities using four vectors
• Perform Lorentz Transformations between reference frames
• Identify proper time and proper velocity
• Make appropriate computations using the Energy-Momentum 4-vector
Limits of Classical Physics
• Identify the limitations of classical physics
Mysteries and Failures
• Identify what was mysterious about particular historical experiments (such as the ones listed here) or describe where classical physics fails to explain aspects of these or similar experiments.
• Atomic Spectra
• Photoelectric Effect
• Heat Capacities of Solids
• Atomic Theory
• Electrical Conduction
• Construct and solve problems using the Hamiltonian
• Derive wave functions
• Construct and interpret energy Diagrams
Schroedinger's Equation
• Articulate the wave particle duality and describe its basis in the Schroedinger Equation
• Explain the purpose and meaning of the Schroedinger Equation
• Cite and describe different philosophical interpretations of the Schroedinger Equation
• Perform the computations that illlustrate the interpretations above and those that give rise to the Uncertainty Principle
• Perform computations appropriate to the Time-Independent Schroedinger Equation
The Spherical Shroedinger Equation
• Construct the solution to the Schroedinger equation for the Hydrogen Atom
Special Topics
• Working individually or in teams students will utilize concepts deriving from the active engagement portions of the course in a project, paper or other assessment that illustrates how the modern view reconciles conflicts, mysteries or failures from classical physics.