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 In 2002, this programme was superseded by the Innovational Research Incentive Scheme, in which Veni Vidi and Vici grants are awarded to outstanding researchers.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: Christmas cracker pulling: How to send everyone home a winner

add to favorites email to friend print save as pdf

Related Stories

An Interview with Thomas Vidick on quantum code cracking

Dec 15, 2014

Quantum computers, looked to as the next generation of computing technology, are expected to one day vastly outperform conventional computers. Using the laws of quantum mechanics—the physics that governs ...

Study narrows the scope of research on quantum computing

Dec 01, 2014

According to many scientists, quantum computers will have great importance in the future but, despite all efforts, research in this field is still in its infancy. One of the difficulties is understanding what criteria a quantum ...

Where are helium atoms in molecule?

Dec 10, 2014

Frankfurt physicists have once again contributed to resolving a disputed matter of theoretical physics. Science has long since known that, contrary to the old school of thought, helium forms molecules of two, three or even ...

Nanoscale resistors for quantum devices

Dec 09, 2014

Researchers from the London Centre for Nanotechnology have made new compact, high-value resistors for nanoscale quantum circuits. The resistors could speed the development of quantum devices for computing ...

Recommended for you

Ancient clay seals may shed light on biblical era

22 hours ago

Impressions from ancient clay seals found at a small site in Israel east of Gaza are signs of government in an area thought to be entirely rural during the 10th century B.C., says Mississippi State University archaeologist ...

Digging up the 'Spanish Vikings'

Dec 19, 2014

The fearsome reputation of the Vikings has made them the subject of countless exhibitions, books and films - however, surprisingly little is known about their more southerly exploits in Spain.

User comments : 0

Please sign in to add a comment. Registration is free, and takes less than a minute. Read more

Click here to reset your password.
Sign in to get notified via email when new comments are made.