SLO 2.1 - Quantum Introduction

Key Concepts and Skills

• Classical Failures: Explain key failures of classical mechanics and their implications (blackbody radiation, photoelectric effect, atomic spectroscopy, wave-particle duality)
• Schrodinger Equation: Define the components of and apply the time-independent Schrodinger equation to basic wavefunctions.
• Using Wavefunctions: Manipulate, normalize, and find expectation values for a given wave function. Calculate the probability densities over a given range.
• Eigenvalue Equations: Recognize eigenvalue equations and solutions. Apply operators to an eigenfunction (including the Hamiltonian operator)
• Uncertainty Principle: Describe the uncertainty principle and its implication for particle wave functions.
• QM Postulates: Identify scenarios in which the QM postulates are or are not properly followed.

Reading

• From the textbook:
  • Topic 7
• POGIL Activities
  • Introduction 3: Photoelectric Effect
• Other:
  • Blackbody Radiation
  • Eigenvalues and Eigenfunctions
  • Introduction to Quantum Mechanics
  • BASIC overview of Quantum Mechanics
  • Quantum Mechanical Postulates
  • Wavefunctions and More

  • Mathematics of QM

  • Engel and Reid (alternative textbook): Chapter 12-14
  • McQuarrie (alternative textbook): Chapter 1

Important Terms

Sample Assessment Question

External Videos, Tutorials, Simulations

• Photoelectric Effect Simulation
• Wavefunction Visualizer
• Wavefunctions and Probability Densities
• Quantum Bound States Simulation
• Momentum and Position Operators

Practice Problems

• From the textbook:
  • Exercises: 7A.2, 7A.5, 7A.6, 7A.7, 7A.11, 7B.1, 7B.3, 7B.4, 7B.5, 7C.2, 7C.3, 7C.5, 7C.7
  • Problems: 7B.1, 7B.3, 7B.4, 7C.2, 7C.3, 7C.4, 7C.8,
• From other external sources:
  • QM Critical Thinking Questions

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