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projects [2014/07/16 07:56] schunck |
projects [2014/07/24 10:00] bogner |
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==== 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 case. Since 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|}} |
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+ | ==== 3) Possible Extensions for Week 3 and Later ==== | ||
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+ | {{ :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)]] |