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In theoretical physics, a singlet usually refers to a one-dimensional representation (e.g. a particle with vanishing spin). It may also refer to two or more particles prepared in a correlated state, such that the total angular momentum of the state is zero.
Singlets frequently occur in atomic physics as one of the two ways in which the spin of two electrons can be combined; the other being a triplet. A single electron has spin 1/2, and transforms as a doublet, that is, as the fundamental representation of the rotation group SU(2). The product of two doublet representations can be decomposed into the sum of the adjoint representation (the triplet) and the trivial representation, the singlet. More prosaically, a pair of electron spins can be combined to form a state of total spin 1 and a state of spin 0.
The singlet state formed from a pair of electrons has many peculiar properties, and plays a fundamental role in the EPR paradox and quantum entanglement. In Dirac notation this EPR state is usually represented as:
\frac{1}{\sqrt{2}}\Big( |\uparrow \downarrow \rangle - |\downarrow \uparrow \rangle\Big)
In chemistry, a singlet is a spectroscopic entity (usually NMR, or EPR) which appears as a single peak; usually these are associated with paired, uncoupled spin-states (spin = 0).
crainger
09-26-06, 11:15 PM
In theoretical physics, a singlet usually refers to a one-dimensional representation (e.g. a particle with vanishing spin). It may also refer to two or more particles prepared in a correlated state, such that the total angular momentum of the state is zero.
Singlets frequently occur in atomic physics as one of the two ways in which the spin of two electrons can be combined; the other being a triplet. A single electron has spin 1/2, and transforms as a doublet, that is, as the fundamental representation of the rotation group SU(2). The product of two doublet representations can be decomposed into the sum of the adjoint representation (the triplet) and the trivial representation, the singlet. More prosaically, a pair of electron spins can be combined to form a state of total spin 1 and a state of spin 0.
The singlet state formed from a pair of electrons has many peculiar properties, and plays a fundamental role in the EPR paradox and quantum entanglement. In Dirac notation this EPR state is usually represented as:
\frac{1}{\sqrt{2}}\Big( |\uparrow \downarrow \rangle - |\downarrow \uparrow \rangle\Big)
In chemistry, a singlet is a spectroscopic entity (usually NMR, or EPR) which appears as a single peak; usually these are associated with paired, uncoupled spin-states (spin = 0).
Dude. My Head. Explode.
Bearclaw
09-26-06, 11:43 PM
Man I miss uni. So easy to get laid.
Hahahaha.
Bearclaw
09-26-06, 11:44 PM
Dude. My Head. Explode.
Seriously. Wtf.
Bearclaw
09-26-06, 11:45 PM
:rofl
QFT.
Seriously. Wtf.
If you couldn't tell by:
\frac{1}{\sqrt{2}}\Big( |\uparrow \downarrow \rangle - |\downarrow \uparrow \rangle\Big)
I just Wiki'ed the word "singlet" (as Allahu used) and posted what I found. :D
Bearclaw
09-26-06, 11:47 PM
Is no one else here?
Bearclaw
09-26-06, 11:48 PM
If you couldn't tell by:
I just Wiki'ed the word "singlet" (as Allahu used) and posted what I found. :D
Ok then.
Bearclaw
09-26-06, 11:55 PM
I guess everyone left........
Bearclaw
09-26-06, 11:56 PM
I guess it's just me....
Bearclaw
09-26-06, 11:56 PM
I'll make one more to make an even 1,850 posts then I'll wait for more people...they better get here soon.
A singlet is also the name of the attire worn by competitors in the sport of wrestling. Singlets are sleeveless and legged one-piece garments that are usually made from spandex that give great support and takes sweat and moisture away from the skin
Bearclaw
09-26-06, 11:59 PM
A singlet is also the name of the attire worn by competitors in the sport of wrestling. Singlets are sleeveless and legged one-piece garments that are usually made from spandex that give great support and takes sweat and moisture away from the skin
Hmmmmm....
Bearclaw
09-27-06, 12:04 AM
Everyone is gone again.
A singlet is also the name of the attire worn by competitors in the sport of wrestling. Singlets are sleeveless and legged one-piece garments that are usually made from spandex that give great support and takes sweat and moisture away from the skin
I know, I was just being difficult.
Like when Snitsky punted that fetus into the crowd.
Bearclaw
09-27-06, 12:05 AM
WTF.
crainger
09-27-06, 12:05 AM
Had a staff meeting.
Everyone is gone again.
I would post more, but I'm supposed to be completing a Technical Writing assignment and studying for a huge test.
Of course, I haven't started yet, but still.
Bearclaw
09-27-06, 12:06 AM
I would post more, but I'm supposed to be completing a Technical Writing assignment and studying for a huge test.
Of course, I haven't started yet, but still.
Ya, I have so much work I should be doing right.
Bearclaw
09-27-06, 12:07 AM
Had a staff meeting.
I keep forgetting that your at wokk over there. Man, these time zones get confusing.
crainger
09-27-06, 12:14 AM
I'm from the future?
Doesn't that blow your mind?
You guys being in the past makes my head explode.
I'm from the future?
Doesn't that blow your mind?
You guys being in the past makes my head explode.
You need that avatar of that video they used to use from the Daily Show. The one where the guy's head explodes because someone smoooshes it. And that line needs to go in your sig and in your little sub-avatar text.
It's your trademark.
It's 11PM here, and I still haven't started my HW.
crainger
09-27-06, 12:22 AM
I'm from the future?
Doesn't that blow your mind?
You guys being in the past makes my head explode.
You need that avatar of that video they used to use from the Daily Show. The one where the guy's head explodes because someone smoooshes it. And that line needs to go in your sig and in your little sub-avatar text.
It's your trademark.
It's 11PM here, and I still haven't started my HW.
I was thinking the clip from Scanners :)
Though I like my Max one. Especially with Sam and Max episodes coming up.
crainger
09-27-06, 12:23 AM
Whoa?!
The way you quoted me screwed with my quote!
Head
Explosion.
Whoa?!
The way you quoted me screwed with my quote!
Head
Explosion.
Huh?? What? What ARE you talking about? :D
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