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projects [2014/07/16 07:56]
schunck
projects [2014/07/24 10:00]
bogner
Line 10: Line 10:
 ==== 1) HF Problem in a Truncated Model Space ==== ==== 1) HF Problem in a Truncated Model Space ====
  
-In a first step, we will solve the HF equations for the system of N neutrons in a trap interacting with the Minnesota potential in a restricted basis consisting of only l=0 states. This simplifies tremendously the calculation of two-body matrix elements. We broke down the problem into several simple steps that are explained in this {{HF_truncated.pdf|document}}.+In a first step, we will solve the HF equations for the system of N neutrons in a trap interacting with the Minnesota potential in a restricted basis consisting of only l=0 states. This simplifies tremendously the calculation of two-body matrix elements. We broke down the problem into several simple steps that are explained in this {{HF_truncated_v2.pdf|document}}.
  
 ==== 2) HF Problem in the Full Spherical Harmonic Oscillator Basis ==== ==== 2) HF Problem in the Full Spherical Harmonic Oscillator Basis ====
  
-To come next week.+Now that each group (hopefully) has a working HF code for the truncated S-wave model space model, we are ready to attack the general caseSince the generation of two-body matrix elements (TBMEs) is tedious for the general case, we have uploaded a F90 pack to do this for you, see {{:​relcom2labsystem.tar.gz|here}}. We will give more explanations on how to use the code in the lectures. Finally, the following document outlines how the HF equations look in spherical symmetry for general model spaces, {{:​hf_fullspherical.pdf|}} 
 + 
 +==== 3) Possible Extensions for Week 3 and Later ==== 
 + 
 +{{ :​scheme.png?​300 |}}
  
 __References__  ​ __References__  ​
   * S. K. Bogner, R. J. Furnstahl, H. Hergert, M. Kortelainen,​ P. Maris, M. Stoitsov, and J. P. Vary, //Testing the density matrix expansion against ab initio calculations of trapped neutron drops//, [[https://​journals.aps.org/​prc/​abstract/​10.1103/​PhysRevC.84.044306|Phys. Rev. C 84, 044306 (2011)]] ​   * S. K. Bogner, R. J. Furnstahl, H. Hergert, M. Kortelainen,​ P. Maris, M. Stoitsov, and J. P. Vary, //Testing the density matrix expansion against ab initio calculations of trapped neutron drops//, [[https://​journals.aps.org/​prc/​abstract/​10.1103/​PhysRevC.84.044306|Phys. Rev. C 84, 044306 (2011)]] ​
projects.txt · Last modified: 2014/07/28 07:33 by schunck