From: jos.bergervoet@xs4all.nl   
      
   On 20/04/26 11:25 AM, Michael Cole wrote:   
   > Hi all.  Does anyone know where to find a good elegant mathematical   
   > treatment of the quantum hydrogen atom?  The bound states are, of   
   > course, treated in every textbook, but they usually don't address the   
   > unbound states.  I tried to tackle it myself as an exercise, but I am   
   > having trouble finding the right normalization of the continuous   
   > spectrum of unbound energy states.  Is there a good reference for this?   
      
   These unbound states of course do not have a finite norm for the   
   integrated wave function squared, but presumably you mean the   
   normalization convention for the "Coulomb wave functions".   
      
   The treatment in A&S handles that on page 538. See:   
      http://people.math.sfu.ca/~cbm/aands/subj.htm   
   "Coulomb wave functions ..... 509, 537"   
      
   --   
   Jos   
      
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