Quantum Tunneling
  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment

Lesson 6: Matter Waves

Overview:

Congratulations on making it this far into the course, you will find a video at the end that describes what Quantum Tunneling is, and will be able to change the way you think about the world around you. It is your responsibility as a future leader of tomorrow to change the world!

Curriculum Expectations:

Overall Expectations:
F2. Investigate special relativity and quantum mechanics, and solve related problems.

F3. Demonstrate an understanding of the evidence that supports the basic concepts of quantum mechanics and Einstein’s theory of special relativity.

Specific Expectations:
F1.1 Analyze the development of the two major revolutions in modern physics (e.g., the impact of the discovery of the photoelectric effect on the development of quantum mechanics; the impact of thought experiments on the development of the theory of relativity), and assess how they changed scientific thought.

F2.1 Use appropriate terminology related to quantum mechanics and special relativity, including, but not limited to: quantum theory, photoelectric effect, matter waves, time dilation, and mass–energy transformation.
 
F2.2 Solve problems related to the photoelectric effect, the Compton effect, and de Broglie’s matter waves.

F2.4 Conduct a laboratory inquiry or computer simulation to analyse data (e.g., on emission spectra, the photoelectric effect, relativistic momentum in accelerators) that support a scientific theory related to relativity or quantum mechanics.

F3.1 Describe the experimental evidence that supports a particle model of light (e.g., the photoelectric effect, the Compton effect, pair creation, de Broglie’s matter waves).

F3.2 Describe the experimental evidence that supports a wave model of matter (e.g., electron diffraction).

Success Criteria:

  1. What is the equation for the de Broglie wavelength and what does it mean in terms of matter?
  2. What are matter waves?
  3. Is it possible to determine the de Broglie wavelength of larger objects, such as a baseball?
  4. Interpret the double slit experiment with the use of: (i) collapse interpretation, (ii) pilot wave interpretation, (iii) many-worlds interpretation, and (iv) Copenhagen interpretation.

Time Allocation: 3 hours


Learning Activities:

Read pages 632 - 638 from Nelson 12.3 and copy the sample problems into your notes.

Quantum Wave Interference
When do photons, electrons, and atoms behave like particles and when do they behave like waves? Watch waves spread out and interfere as they pass through a double slit, then get detected on a screen as tiny dots. Use quantum detectors to explore how measurements change the waves and the patterns they produce on the screen.
Picture

In the playlist below, video:
  1. Will show you how to use de Broglie method to calculate the wavelength of a proton.
  2. Will show you how to use the Heisenberg Uncertain Principle to calculate the uncertainty of a wavelength.
  3. A three part series from Ontario's Perimeter Institute of Theoretical Physics exploring: 'Quantum physics is considered by many to be the single most important advance in our understanding of the universe. This video introduces you to quantum physics via the double-slit experiment and the concept of wave-particle duality.'

Practice questions 1, 2, 3 and 4 on page 634.

Task:

Solve questions 1, 2 and 3 from Nelson 12.3 Review on page 639.
Quiz Chapter 12 on Moodle.
Complete the assignment on Moodle "Explore an Application in Quantum Mechanics."

Optional Extension: 
  • Solve questions 3 and 8 on page 253.

Reflect:

Describe the experimental evidence that supports a wave model of matter (e.g., electron diffraction).

Additional Resources:


Lesson 5
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Assessment
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  • Home
  • Physics 12, SPH4U
    • Module 1: Dynamics >
      • Lesson 1: Motion and Motion Graphs
      • Lesson 2: Equations of Motion
      • Lesson 3: Displacement in Two Dimensions
      • Lesson 4: Velocity and Acceleration in Two Dimensions
      • Lesson 5: Projectile Motion
      • Lesson 6: Relative Motion
      • Lesson 7: Forces and Free Body Diagrams
      • Lesson 8: Newton's Laws of Motion
      • Lesson 9: Applying Newton's Laws of Motion
      • Lesson 10: Forces of Friction
      • Lesson 11: Inertial and Non Inertial Frames of Reference
      • Lesson 12: Centripetal Acceleration
      • Lesson 13: Centripetal Force
      • Module 1 Assessment
    • Module 2: E and P >
      • Lesson 1: Work Done by a Constant Force
      • Lesson 2: Kinetic Energy and Work Energy Theorem
      • Lesson 3: Gravitational Potential Energy
      • Lesson 4: The Law of Conservation of Energy
      • Lesson 5: Elastic Potential Energy and SHM
      • Lesson 6: Springs and Conservation of Energy
      • Lesson 7: Momentum and Impulse
      • Lesson 8: Conservation of Momentum in One Dimension
      • Lesson 9: Collisions
      • Lesson 10: Head-on Elastic Collisions
      • Module 2 Assessment
    • Module 3: Fields >
      • Lesson 1: Newtonian Gravitation
      • Lesson 2: Orbits
      • Lesson 3: Electric Force
      • Lesson 4: Electric Fields
      • Lesson 5: The Milikan Oil Drop Experiment
      • Lesson 6: Magnets
      • Lesson 7: Magnetic Force on Moving Charges
      • Lesson 8: Motion of Charged Particles in Magnetic Fields
      • Module 3 Assessment
    • Module 4: Light >
      • Lesson 1: Properties of Waves and Light
      • Lesson 2: Refraction and Total Internal Reflection
      • Lesson 3: Diffraction and Interference of Water Waves
      • Lesson 4: Interference of Light Waves
      • Lesson 5: Electromagnetic Radiation
      • Module 4 Assessment
    • Module 5: Revolution >
      • Lesson 1: The Special Theory of Relativity
      • Lesson 2: Time Dilation
      • Lesson 3: Consequences of Special Relativity
      • Lesson 4: Quantum Theory
      • Lesson 5: Photons
      • Lesson 6: Matter Waves
      • Module 5 Assessment