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Bootstrapping QM Systems

Follow the algorithms in arXiv: 2108.08757. I created an environment for bootstrapping general QM systems with high precesion.

The main function is in "Bootstrap.py". By inheriting it, one can apply it to general systems to do multi-dimensional bootstrap.

Examples

The examples are in "Bootstrapping_QM_Systems.ipynb".

I finished the Bootstrap for

  • Simple Harmonic Oscllator
  • Hydrogen Atoms
  • Double Well
  • Energy Band

where my results match well with analytic solutions and results in [https://arxiv.org/abs/2108.08757] and [https://arxiv.org/abs/2109.06251].

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Efficient code for bootstrapping QM systems

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