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A question on Isotopic Spin 
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#1
Apr106, 04:49 AM

P: 95

Some elementary particles in Standard Model are grouped into doublets, e. g. electron and eneutrino (both left). As to me, the wave function of such a doublet should be
[tex] \psi^{ia}=\left(\begin{array}{c}\nu^a \\ e^a \end{array}\right) [/tex] where [itex]i=1,2[/itex] and [itex]a[/itex] is a spinor index. In other words it is composed of electron and neutrino components. If [itex]nu^a=0[/itex], it is a pure electron wave function, and if [itex]e^a=0[/itex] it is a pure nutrino wave function. However, performing an SU(2)gauge transfoprmation, I can mix the components of the doublet. My question is what particle I actually describe  an electron or a neutrino? 


#2
Apr106, 11:51 AM

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Hope this makes sense. Patrick 


#3
Apr306, 03:55 AM

P: 95

Why (and how) it changes electron/neutrino states? Ruslan. 


#4
Apr306, 04:45 AM

PF Gold
P: 2,921

A question on Isotopic Spin



#5
Apr306, 05:25 AM

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Daniel. P.S. Think about the EM field. Do we measure [itex] A_{\mu} [/itex] ...? (which is affected by a U(1) gauge transformation) 


#6
Apr306, 12:05 PM

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