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'''Rabi resonance method''' is a technique developed by [[Isidor Isaac Rabi]] for measuring the nuclear spin. The atom is placed in a static magnetic field and a perpendicular rotating magnetic field.  
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We present a classical treatment in here.
 
==Theory==
 
when only the static magnetic field (B<sub>0</sub>) is turned on. the spin will be [[precess]] around it with [[Larmor frequency]] ν<sub>0</sub> and the corresponding angular frequency is ω<sub>0</sub>.
 
According to mechanics, the equation of motion of the spin J is:
 
:: <math> \frac {d \vec {J}}{d t} = \vec{\mu} \times \vec {B} </math>
 
:: <math> \vec{\mu} = g \frac {\mu_B} {\hbar} \vec {J} = \gamma \vec {J} </math>
 
where μ is the [[magnetic moment]].
 
g is [[g-factor]], which is dimensionless and reflecting the environmental effect on the spin.
 
Solving gives the angular frequency ([[Larmor frequency]]) with the magnetic field pointing on z-axis:
 
:: <math> \omega_0  =  -  \frac {\gamma}{\hbar} B_0 </math>
 
The minus sign is necessary. it reflects that the J is rotating in left-hand when the thumb is pointing as the H field.
 
when turned on the rotating magnetic field (B<sub>R</sub>), with angular frequency ω. In the rotating frame of the rotating field, the equation of motion is:
 
:: <math> \frac {d \vec {J_R }}{d t} = \frac {d \vec {J}}{d t} - \vec {J} \times  \omega </math>
 
or  
 
:: <math> \frac {d \vec {J_R}}{d t} =  \frac {\gamma}{\hbar} \vec {J} \times (\vec {B_0} + \vec{B_R}) -  \vec {J} \times  \omega </math>
 
if <math> \frac {\gamma}{\hbar} B_0 = \omega </math>, the static field was cancelled, and only the "sleeping" rotation frame. and the spin is now precess around H<sub>R</sub> with angular frequency [[Rabi frequency]]
 
:: <math> \omega_R = \frac {\gamma}{\hbar} H_R </math>
 
Since the rotating field is perpendicular to the static field. the spin in rotating fame is now able to flip between up and down.  
 
by sweeping ω<sub>R</sub>, one can obtain a maximum flipping and determine the magnetic moment.
 
==Experiment==
 
the experiment setup contains 3 parts, an inhomogeneous magnetic field in front, the rotating field at the middle, and another inhomogeneous magnetic field at the end.
 
atoms after passed the first inhomogeneous field will split into 2 beams corresponding the spin up and spin down state. selecting 1 beams (spin up state, for example) and let it pass the rotating field. If the rotating field has frequency (ω) equal to the Larmor frequency, it will produced a high intensity of the other beam (spin down state). by sweeping the frequency to obtain a maximum intensity, one can find out the Larmor frequency and the magnetic moment of the atom.
 
==References and notes==
http://www.colorado.edu/physics/phys7550/phys7550_sp07/extras/Ramsey90_RMP.pdf
 
==See also==
*[[Rabi frequency]]
*[[Rabi cycle]]
*[[Rabi problem]]
 
[[Category:Quantum optics]]
[[Category:Atomic physics]]
[[Category:Atomic, molecular, and optical physics]]

Latest revision as of 02:21, 21 December 2014



Cooking for large gatherings can be difficult, and a single of the most significant issues that you face is maintaining cooked meals warm. The refrigerator could be the most focused machine in your residence. The Icey-Tek Elite Series has superior ice cold retention capabilities which is obtained by using premium polyurethane insulation injected below intense stress inside all wall cavities and the lid of the cooler. Positioned at the bottom on every side of the cooler they are completely removable for ease of cleaning and of draining the cooler of melted ice water at the end of your trip. Pelican males an ice chest that is far superior to yeti IMO.

With these strong covers you can add strength to your Ice Coolers and save them from becoming damaged. This is the largest location of the chest and allows for the most efficient use of space. Place your meat items in the bottom of the chest. The bottom is the coldest aspect of a chest freezer and will hold meat items fresh longer. Shop your brief-storage items such as ice cream, bread and rolls near the prime of the chest.

A slight step down from the winner's circle of Yeti and Icey-Tek, but a solid cooler with impressive ice retention nonetheless, Engel's DeepBlue” line of ice chests has won more than a lot of believers among the camping, fishing, and hunting communities. The second are the strong brass latches and integrated hinges that work to keep Grizzly cooler tops tight and sturdy. A further way to think about superior insulation is that it translates directly to needing or consuming much less ice.

The fact that the meltwater in the Rubbermaid nonetheless kept the beverage temperature at 40 degrees F is testament to the truth that you should really not drain the water if you don't have to. The Yeti lost 76 % of its cubed ice, but 46 percent of the ice block was still solid. The Yeti cooler prevailed due to the fact it retained ice much better than the other units. The Yeti offered exceptional building and the greatest ice retention.

If you liked this write-up and you would such as to receive even more information concerning www.bestcoolerreviewshq.com kindly visit our own web site. To boost the effects of this exercise, when you attain the point of lean that stresses the chest muscles most (you are going to feel it), pause and hold for a count of ten or 15, then finish the motion. Undertaking push-ups helps the pectoral muscle tissues under the chest. Ice packs: Massaging your breasts for about a minute, in circular motions, working with two ice-cubes is a rapid way to uplift saggy breasts. Leaving space for a larger metal box will make your cooler more potent. It is a fan that draws air over ice.

Use foam pads inside and outdoors of the cooler to add even much more insulation. Inside the cooler, space slim foam pads more than ice (or cardboard) to protect against meals from straight sitting on the ice. On the outside, use a thicker foam or insulated pad to lay more than the cooler to keep it out of the sun, and cooler. Purchase blocks of ice (alternatively of chunks), and use a little dry ice for packing meat. Lastly, limit the quantity of occasions you open up the cooler.

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