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English [CC]
FREE
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Description
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 content
- 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
Instructor
Open University UK
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