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• Chemistry

  Frozen-Core Spin-Component-Scaled RMP2 Analytic Nuclear Gradient

  # Frozen-Core Spin-Component-Scaled RMP2 Analytic Nuclear Gradient

• Physics

  FKCH History-State Preparation with Adversary-Decoupling and Trotterized Locality

  Calculate the final logical-state fidelity and certify CPTP/normalization invariants for a coupled universal-quantum-computing model that combines (i) a sequential adversary interaction (QTM/MPS-style) encoding stage with explicit decoupling, and (ii) a geometrically local Hamiltonian (QCA-style) logical-gate stage implemented by first-order Lie–Trotter product evolution, and (iii) a Feynman–Kitaev clock-history Hamiltonian (FKCH) constraint enforced self-consistently.

• Mathematics

  Sketched Block Krylov QR for a Stiff Chebyshev Collocation System

  Calculate the sketched block-GMRES approximation of a stiff Chebyshev-Lobatto collocation linear system while certifying the coupled QR, Krylov, and residual invariants of the randomized block basis.

• Biology

  Bifurcation and Full-Spectrum Stability Analysis of the Mini-Ultimatum Game with Information

  Analyze the mini-ultimatum game with information under replicator dynamics. The four strategies are indexed

• Material Science

  Scaled tight binding model for a two dimensional electron gas at the (001) LaAlO₃/SrTiO₃ interface

  Compute the band structure of the (001) LaAlO_3/SrTiO_3 two-dimensional electron gas along a specified k-path, then build the corresponding scaled real-space tight-binding Hamiltonian on a finite periodic lattice and verify that both representations yield identical low-energy spectra at scaling factor s=1.

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