Equilibrium quantum many-body methods are encoders from admissible states to represented variables, with exact decoders existing precisely when tasks are constant on encoder fibers.
Baym ,\ 10.1103/PhysRev.127.1391 journal journal Physical Review \ volume 127 ,\ pages 1391 ( year 1962 ) NoStop
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Parquet theory is formalized for molecules with a static kernel approximation that treats all scattering channels equally and is tested on ionization potentials of small systems.
A CAP-GW method is developed for approximating positions and lifetimes of shape resonances in small molecular anions, validated on N2^-, CO^-, and others with accuracy comparable to wavefunction-based approaches.
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Full-State and Reduced-Moment Encodings: A Representation-Level View of Equilibrium Quantum Many-Body Theory
Equilibrium quantum many-body methods are encoders from admissible states to represented variables, with exact decoders existing precisely when tasks are constant on encoder fibers.
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Parquet theory for molecular systems: Formalism and static kernel parquet approximation
Parquet theory is formalized for molecules with a static kernel approximation that treats all scattering channels equally and is tested on ionization potentials of small systems.
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Complex Absorbing Potential Green's Function Methods for Resonances
A CAP-GW method is developed for approximating positions and lifetimes of shape resonances in small molecular anions, validated on N2^-, CO^-, and others with accuracy comparable to wavefunction-based approaches.