Pure mathematics behind the mechanics

Feb 07, 2008

Dutch researcher Peter Hochs has discovered that the same effects can be observed in quantum and classical mechanics, if quantisation is used.

Whereas classical mechanics describes how balls fall, pendulums swing and the Earth revolves around the Sun, quantum mechanics describes extremely small things such as atoms and does not in the slightest bit resemble its classical cousin.

At least not on the face of it. Quantisation is a technique that allows the relationship between classical mechanics and quantum mechanics to be studied: if we know how it works in classical terms then can we say something about how it works in quantum mechanics?

Hochs' research focused on the role played by symmetry in classical and quantum mechanics: this symmetry allows the matter to be simplified, so-called reduction. Hochs has demonstrated that in certain cases quantisation commutes with reduction. This means that the simplification you can perform if symmetry is present has the same effect in both quantum and classical mechanics.

Hoch's research was part of one of the last Pioneer projects of NWO Division for Physical Sciences. In 2002, this programme was superseded by the Innovational Research Incentive Scheme, in which Veni Vidi and Vici grants are awarded to outstanding researchers.

Source: NWO

Explore further: Researchers help Boston Marathon organizers plan for 2014 race

add to favorites email to friend print save as pdf

Related Stories

A quantum logic gate between light and matter

Apr 10, 2014

Scientists at Max Planck Institute of Quantum Optics, Garching, Germany, successfully process quantum information with a system comprising an optical photon and a trapped atom.

The complexonaut

Apr 09, 2014

When he was in elementary school, Scott Aaronson, like many mathematically precocious kids of his generation, dreamed of making his own video games. He had only the foggiest notion of what that entailed, ...

New 'switch' could power quantum computing

Apr 09, 2014

Using a laser to place individual rubidium atoms near the surface of a lattice of light, scientists at MIT and Harvard University have developed a new method for connecting particles—one that could help ...

Quantum melting

Apr 07, 2014

When ice is warmed, the water molecules forming its structure vibrate more and more vigorously until finally the forces between them are no longer strong enough to hold them together – the ice melts and ...

Recommended for you

Egypt archaeologists find ancient writer's tomb

5 hours ago

Egypt's minister of antiquities says a team of Spanish archaeologists has discovered two tombs in the southern part of the country, one of them belonging to a writer and containing a trove of artifacts including reed pens ...

Study finds law dramatically curbing need for speed

Apr 18, 2014

Almost seven years have passed since Ontario's street-racing legislation hit the books and, according to one Western researcher, it has succeeded in putting the brakes on the number of convictions and, more importantly, injuries ...

User comments : 0

More news stories

Egypt archaeologists find ancient writer's tomb

Egypt's minister of antiquities says a team of Spanish archaeologists has discovered two tombs in the southern part of the country, one of them belonging to a writer and containing a trove of artifacts including reed pens ...

NASA's space station Robonaut finally getting legs

Robonaut, the first out-of-this-world humanoid, is finally getting its space legs. For three years, Robonaut has had to manage from the waist up. This new pair of legs means the experimental robot—now stuck ...

Ex-Apple chief plans mobile phone for India

Former Apple chief executive John Sculley, whose marketing skills helped bring the personal computer to desktops worldwide, says he plans to launch a mobile phone in India to exploit its still largely untapped ...

Filipino tests negative for Middle East virus

A Filipino nurse who tested positive for the Middle East virus has been found free of infection in a subsequent examination after he returned home, Philippine health officials said Saturday.

Airbnb rental site raises $450 mn

Online lodging listings website Airbnb inked a $450 million funding deal with investors led by TPG, a source close to the matter said Friday.