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numexercises7_14 [2014/07/14 08:43]
bogner
numexercises7_14 [2014/07/14 10:26]
bogner
Line 9: Line 9:
   * Check numerically that the constructed HO wf's are orthonormal. To do this, you will want to use Gaussian quadrature to discretize the integrals. Gaussian quadrature is discussed a bit in {{:​ho_spherical.pdf| }}. If you don't have a routine to calculate quadrature points/​weights,​ take advantage of Google to find a canned routine to do this for you.   * Check numerically that the constructed HO wf's are orthonormal. To do this, you will want to use Gaussian quadrature to discretize the integrals. Gaussian quadrature is discussed a bit in {{:​ho_spherical.pdf| }}. If you don't have a routine to calculate quadrature points/​weights,​ take advantage of Google to find a canned routine to do this for you.
  
-  * Construct a subroutine that returns relative HO matrix elements of the Minnesota NN potential. The definition of the Minnesota potential ​is here:+  ​* Construct the hamilton matrix $\langle nl|H|n'​l\rangle$ keeping all HO basis states $n,​n'<​N_{max}$. Diagonalize the matrix for increasing $N_{max}$ values for different values of the oscillator length parameter $b$ ("​oscl"​ in the code.) $b$ and $\hbar\omega$ are related by $b = \sqrt{(\hbar/​(m\omega)}$.  
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 +  ​* Construct a subroutine that returns relative HO matrix elements of the Minnesota NN potential. The definition of the Minnesota potential ​and a sketch of how to proceed will be given on the black board.  
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 +Here are 
  
  
numexercises7_14.txt · Last modified: 2014/07/14 13:40 by bogner