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Added example for simple-RG #156

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Regarding #145

  • Added some improved tutorials for plain-vanilla Richardson-Gaudin
  • Showed the overlapping tends to 0 for larger systems

@PaulWAyers PaulWAyers requested a review from RichRick1 March 25, 2025 15:38
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Good job! Since you are working with RG model, the exact example of it is Picket-Fence model that has an equally spread spectrum. You can try to implement that one to make the tutorial stronger

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