Articles

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Schrödinger's equation — in action

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.
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Schrödinger's equation — what is it?

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.
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Mapping the medals

Predicting the final Olympic medal count is a black art. Sport, with all its intricacies and vagaries, is always susceptible to variations in form, weather conditions and simple random events. But we like a challenge! So without further ado, here is our predicted 2012 London Olympic medal count.
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2012 Medal count: how do our predictions stack up?

In our article Mapping the medals we came up with our very own prediction of the 2012 Olympic medal counts for the top 20 countries! This interactive map tells you how our predictions stack up: click on a country to see its actual medal count, our prediction and the results from 2008.
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String Theory, Duality and Art: how the Higgs boson and Turner Prize collide

On the face of it, an artist and a theoretical physicist might seem an unlikely pairing. But Turner Prize-winning sculptor Grenville Davey and string theorist David Berman's collaboration is producing beautiful, thought-provoking work inspired by the fundamental structure of the Universe. Julia Hawkins interviewed them to find out more about how the Higgs boson and T-duality are giving rise to art.
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Building bridges from mathematics to the City

Many people's impression of mathematics is that it is an ancient edifice built on centuries of research. However, modern quantitative finance, an area of mathematics with such a great impact on all our lives, is just a few decades old. The Isaac Newton Institute quickly recognised its importance and has already run two seminal programmes, in 1995 and 2005, supporting research in the field of mathematical finance.
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Strings, particles and the early Universe

The Strong Fields, Integrability and Strings programme, which took place at the Isaac Newton Institute in 2007, explored an area that would have been close to Isaac Newton's heart: how to unify Einstein's theory of gravity, a continuation of Newton's own work on gravitation, with quantum field theory, which describes the atomic and sub-atomic world, but cannot account for the force of gravity.
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Taming water waves

Few things in nature are as dramatic, and potentially dangerous, as ocean waves. The impact they have on our daily lives extends from shipping to the role they play in driving the global climate. From a theoretical viewpoint water waves pose rich challenges: solutions to the equations that describe fluid motion are elusive, and whether they even exist in the most general case is one of the hardest unanswered questions in mathematics.
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Renewable energy and telecommunications

When the mathematician AK Erlang first used probability theory to model telephone networks in the early twentieth century he could hardly have imagined that the science he founded would one day help solve a most pressing global problem: how to wean ourselves off fossil fuels and switch to renewable energy sources.
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The shape of things to come

Progress in pure mathematics has its own tempo. Major questions may remain open for decades, even centuries, and once an answer has been found, it can take a collaborative effort of many mathematicians in the field to check that it is correct. The New Contexts for Stable Homotopy Theory programme, held at the Institute in 2002, is a prime example of how its research programmes can benefit researchers and its lead to landmark results.
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From neurobiology to online gaming

Artificial neural networks grew out of researchers' attempts to mimick the human brain. In 1997 the Isaac Newton Institute hosted a landmark research programme in the area. Today, neural networks are able to learn how to perform complex tasks and are crucial in many areas of life, from medicine to the Xbox.
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Secret symmetry and the Higgs boson (Part II)

In the first part of this article we explored Landau's theory of phase transitions in materials such as magnets. We now go on to see how this theory formed the basis of the Higgs mechanism, which postulates the existence of the mysterious Higgs boson and explains how the particles that make up our Universe came to have mass.