130_notes.dvi
The Hamiltonian written in terms of the creation and annihilation operators is. H = 1 2 ∑ k,α ̄hω [ ak,αa†k,α+a†k,αak,α ] By ana ...
We name thecreation and annihilation operators for the positron statesto bed(s) † ~p and d(~ps)and identify them to be. d(1)~p = ...
36.21Vacuum Polarization Vacuum polarization is an important effect in effectively reducing the charge on a particle. The reduct ...
We can estimate the distance an electron might jump as it undergoesthis process. First the time for which the virtual pair exist ...
The transformed LaGrangian then can be computed easily. L=− ̄hcψ ̄ ( γμ ∂ ∂xμ + mc ̄h ) ψ− 1 4 FμνFμν−ieψγ ̄μAμψ The exponential ...
37 Formulas ̄h= 1. 05 × 10 −^27 erg sec c= 3. 00 × 1010 cm/sec e= 1. 602 × 10 −^19 coulomb 1 eV= 1. 602 × 10 −^12 erg α=e 2 ̄hc= ...
HARMONIC OSCILLATOR H= p 2 2 m+ 1 2 mω (^2) x (^2) = ̄hωA†A+ 1 2 ̄hω 10.1 En= (n+ 1 2 ) ̄hω n= 0,^1 ,^2 ... 10.3 un(x) = ∑∞ k=0 ...
ADDITION OF ANGULAR MOMENTUM J~=~L+S~ |ℓ−s|≤j≤ℓ+s L~·S=^1 2 (J (^2) −L (^2) −S (^2) ) ψjmjℓs= ∑ mℓms C(jmj;ℓmℓsms)Yℓmℓχsms= ∑ mℓ ...
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