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Calculate the scattering phase sift

  1. Mar 7, 2009 #1
    1. The problem statement, all variables and given/known data
    calculate the scattering phase sift for given potential
    v(r)=-a/r +b/r2( consider only s-wave scattering)
    a=+ve constant
    b=+ve constant

    2. Relevant equations
    phase sift=f(-k,0)/f(k,0)
    k2=2mE/[tex]\hbar[/tex]2
    r*f(k,r)=solution of schrodinger equation
    3. The attempt at a solution
    I have solved the schrodinger equation and i have found that 'phase sift' =1
    but physically i did not understand the ans..
     
  2. jcsd
  3. Mar 8, 2009 #2

    malawi_glenn

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    Re: scattering!!!

    what does a positive phase shift tells you?
     
  4. Mar 9, 2009 #3
    Re: scattering!!!

    i have found that
    exp(2i[tex]\delta[/tex])=1
    =>[tex]\delta[/tex]=n*pi ,n=+ve or -ve integer
    therefore s-wave contribution to the differential scattering cross section=lim(k2-->0)1/(k2 +k2cot2[tex]\delta[/tex])=0
    i do not understand this.potential is nonzero but there is no scattering contribution!!
     
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