Marianne Freiberger is Editor of Plus. She joined Plus in 2005 after doing a PhD and then a three year postdoc at Queen Mary, University of London. As a researcher she worked in complex dynamics, the area of pure maths that has given us the Mandelbrot set. In the world of maths communication she has been Editor-in-Chief of the Mathscareers website, given presentations to mathematicians about how to communicate their work to a wider audience, and to journalists about how to deal with maths in the media. She has been a TEDx speaker and an invited speaker at the International Congress of Mathematicians in 2010.
Together with Rachel Thomas, Marianne has co-authored several popular maths books including Numericon: A journey through the hidden lives of numbers and Understanding numbers, and were editors on the book 50: visions of mathematics. They were Science Editors for the Discovery+ documentary series Universe Unravelled about the work of the Stephen Hawking Centre for Theoretical Cosmology.
In October 2022 Marianne and Rachel received a SPI-M-O Award for Modelling and Data Support (SAMDS) from the UK's Scientific Advisory Group for Emergencies. This award recognised their work with the JUNIPER modelling consortium to provide a wide audience (including public, press, policy makers and government) with clear and accessible explanations of some of the maths that was vital in responding to the COVID-19 pandemic.
Mathematicians and psychologists don't cross paths that often and when they do you wouldn't expect it to involve an (apparently) unassuming puzzle like the Tower of Hanoi. Yet, the puzzle holds fascination in both fields.
Ocean waves are not moving walls of water. Instead, it's some kind of energy that moves along. But then, what happens to the water itself? This isn't just an idle question to ponder while watching the ocean — its answer may help protect us from it too. And it requires some sophisticated maths.
In the first article of this series we introduced Schrödinger's equation and in the second we saw it in action using a simple example. But how should we interpret its solution, the wave function? What does it tell us about the physical world?
In the previous article we introduced Schrödinger's equation and its solution, the wave function, which contains all the information there is to know about a quantum system. Now it's time to see the equation in action, using a very simple physical system as an example. We'll also look at another weird phenomenon called quantum tunneling.
In the 1920s the Austrian physicist Erwin Schrödinger came up with what has become the central equation of quantum mechanics. It tells you all there is to know about a quantum physical system and it also predicts famous quantum weirdnesses such as superposition and quantum entanglement. In this, the first article of a three-part series, we introduce Schrödinger's equation and put it in its historical context.
