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Title: Physics/Quantum Mechanics - Parity An overview of Parity in quantum mechanics and of the ways to break quantum mechanical symmetry.
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Theory: Parity Invariance (SLAC VVC) Skip to main content. Welcome to the Virtual Visitor Center at SLAC Go to > SLAC Home | SLAC Today | For Staff | For Users Photon Science | Particle Physics and Astrophysics | Operations SLAC WEB  PEOPLE  VVC  var f = document.form1; f.searchType[1].disabled = false; function doSearch() { var peopleurl = "http://www-public.slac.stanford.edu/phonebook/dirsearch.aspx?lf=1%26url=&gone=active%26NAME="+f.qt.value var fixedurl = unescape(peopleurl) if (f.searchType[0].checked) document.location = "http://www-search.slac.stanford.edu:8765/query.html?qt="+f.qt.value; else if (f.searchType[2].checked) document.location = "http://www-search.slac.stanford.edu:8765/query.html?style=vvc&qt="+f.qt.value; else document.location = fixedurl; }

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Parity Invariance

Many physics processes have a property known as parity invariance. This means that the probability of a particle process occurring is exactly the same as the probability of the same process occurring with the position vectors and directions of travel of all particles reversed. What does it mean to reverse a position vector? Choose any point as your position vector origin and draw a line from the origin to the position of an object. That is the position vector of the object. A parity transformation about that origin would relocate the object at a point found by flipping that position vector so it goes the same distance from the origin but in exactly the opposite direction. It turns up to down, left to right, and front to back! This seems odd because we are used to thinking of up as physically very different from down, but if we reverse everything then the position of the earth changes, too. Consider, for example, a collision of two spheres  in space. There would be no way you could tell by looking at a movie whether you were watching an actual collision or a parity reversed simulation of the collision, each would look equally plausible. Parity invariance is true for strong and electromagnetic interactions. This has many consequences for the possible outcomes in decays and scattering events. One of the big surprises of the 1950s was the recognition that parity invariance is not true for weak interactions.

Right- and Left-Handed Particles

By definition, a right-handed particle is one that rotates in the direction of the fingers while traveling in the direction of the thumb. Similarly, a left-handed particle rotates in the opposite direction. Diagram of a right handed particle - direction of travel and rotation Parity reverses the travel direction without reversing the direction of rotation -- a left-handed particle turns into a right-handed particle. Thus, parity invariance says that left- and right-handed particles must have identical interaction rates. In weak interactions this rule is completely broken -- only left-handed particles (and only right-handed antiparticles) participate in weak interactions.

Biological Parity Breaking

It is interesting to note that parity non-invariance is also present in biology. Large spiral molecules can be assigned a handedness from the way they spiral. Left- and right-handed molecules behave very differently in biological function. You may wonder whether this has any connection to the underlying asymmetry of weak interactions or is just the result of random evolutionary selection. Most theories of the origin of life favor the latter interpretation. Last update:
 

An

overview

of

Parity

in

quantum

mechanics

and

of

the

ways

to

break

quantum

mechanical

symmetry.

http://www2.slac.stanford.edu/vvc/theory/parity.html

Parity 2008 November

dvd rental

dvd


An overview of Parity in quantum mechanics and of the ways to break quantum mechanical symmetry.

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