Order parameters for unitary ensembles solve the modified KP equation via the Volterra lattice while orthogonal ensembles yield a new integrable chain via the Pfaff lattice, with thermodynamic limits being hydrodynamic-type systems solved by the same semi-discrete dynamical chain.
Robert Wild, Roland Wester, et al
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Suppressed quantum chaos at the transition state enhances tunneling in H3+ and H5+ formation, quantified by a new fragility index derived from adiabatic gauge potential slopes.
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Random matrix ensembles and integrable differential identities
Order parameters for unitary ensembles solve the modified KP equation via the Volterra lattice while orthogonal ensembles yield a new integrable chain via the Pfaff lattice, with thermodynamic limits being hydrodynamic-type systems solved by the same semi-discrete dynamical chain.
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Chaos Gated Tunneling Drives Molecular Reactivity in Astrophysical Environments
Suppressed quantum chaos at the transition state enhances tunneling in H3+ and H5+ formation, quantified by a new fragility index derived from adiabatic gauge potential slopes.