**Description**

The programme tells the mathematical story of how the Schrodinger wave equation was developed and illustrates how the wave function should be interpreted.

Module code and title: | SM351, Quantum theory and atomic structure |
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Item code: | SM351; 04 |

First transmission date: | 20-04-1974 |

Published: | 1974 |

Rights Statement: | |

Restrictions on use: | |

Duration: | 00:24:33 |

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Producer: | John Richmond |

Contributors: | Alan Cooper; Allan Krass |

Publisher: | BBC Open University |

Keyword(s): | Development; Diffraction; Interpretation; Particle energy/momentum; Probability distribution; Schroedinger-wave equation; Wave equation; Wave packets |

Footage description: | Alan Cooper introduces the programme with a brief summary of what has been covered in the course so far. Allan Krass, with a large graphics board showing the stages which led to the development of the Schrodinger wave equation and its experimental verification, looks at the mathematics properties of waves and particles. (This graphic display is used at intervals throughout the programme). A computer animation illustrates some of Krass' points. Krass next looks at the mathematical representation of wave packets as explained by de Broglie. He shows that a wave packet propagates like a freely moving particle. Alan Cooper contrasts the classical approach with the quantum mechanics approach to the dispersion relation and wave equation. He uses a graphic display to emphasise his points. Allan Krass explains how the utility of the wave packet model can be tested to make it account for particles in potentials. Krass explains how Schrodinger's wave equation was used to check energy levels of hydrogen atoms. Alan Cooper, using several graphic aids, discusses the question "What is the wave function?" Cooper with a model of an electron gun/screen apparatus explains an experiment which gives the clue to the statistical nature of the wave function). Film shots of electron probability density distribution building up on a screen. Film shots show the radial distribution of electrons from the above experiment built up on a histogram. Cooper provides the commentary. Allan Krass using a graphics board shows how a statistical distribution is built up from the probability density and expectation value. Alan Cooper sums up |

Master spool number: | 6HT/71266 |

Production number: | 00525_1141 |

Videofinder number: | 1044 |

Available to public: | no |