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Please note: this course will be closing on 11 May 2022. After this date, you will no longer be able to study the course but if you've already gained your cerficate this will continue to display in your learner profile.
FREE
This course includes
Hours of videos
12 hours, 50 minutes
Units & Quizzes
20
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
Scattering is fundamental to almost everything we know about the world, such as why the sky is blue. Tunnelling is entirely quantum-mechanical and gives rise to such phenomena as nuclear fusion in stars. Scattering and tunnelling is a free course that investigates examples and applications of both these fascinating concepts.
Course learning outcomes
After studying this course, you should be able to:
- Explain the meanings of key terms and use them appropriately
- Describe the behaviour of wave packets when they encounter potential energy steps, barriers and wells
- Describe how stationary-state solutions of the Schrödinger equation can be used to analyse scattering and tunnelling
- For a range of simple potential energy functions obtain the solution of the time-independent Schrödinger equation and use continuity boundary conditions to find reflection and transmission coefficients
- Present information about solutions of the time-independent Schrödinger equation in graphical terms.
Course Currilcum
- Introduction 00:15:00
- Learning outcomes 00:10:00
- What are scattering and tunnelling? 01:00:00
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- Overview 00:10:00
- Wave packets and scattering in one dimension 00:45:00
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- Overview 00:15:00
- Stationary states and scattering in one dimension 00:20:00
- Scattering from a finite square step 01:30:00
- Probability currents 01:00:00
- Scattering from finite square wells and barriers 01:30:00
- Scattering in three dimensions 00:40:00
- Overview 00:05:00
- Wave packets and tunnelling in one dimension 00:25:00
- Stationary states and barrier penetration 00:50:00
- Stationary states and tunnelling in one dimension 00:45:00