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Implement AlternativeSpinHamiltonian for Issue #179#186

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smandal21-pixel wants to merge 5 commits intotheochem:mainfrom
smandal21-pixel:issue-179-spin-hamiltonians
Draft

Implement AlternativeSpinHamiltonian for Issue #179#186
smandal21-pixel wants to merge 5 commits intotheochem:mainfrom
smandal21-pixel:issue-179-spin-hamiltonians

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@smandal21-pixel
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I have implemented the spin Hamiltonian using Sz, S+, and S- operators. I've included a pytest suite that verifies the energy levels for a 2-spin Heisenberg model. This is a draft PR as part of my GSoC 2026 application.

@smandal21-pixel
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Note for reviewers: I am aware this Draft PR slightly exceeds the recommended 3 commits / 50 lines of code limit mentioned in the contributing guidelines. The extra lines are entirely due to the inclusion of the required pytest suite to verify the Heisenberg energy levels. I have kept the core logic as minimal as possible.

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