Single-Hessian GWD conserves non-canonical symplectic structure and energy while matching local harmonic accuracy for molecular spectra at reduced computational cost.
The analysis of linear partial differential operators
4 Pith papers cite this work, alongside 670 external citations. Polarity classification is still indexing.
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Multiphase quadrature domains exist and are unique under sufficient conditions via constrained minimization of an energy functional over segregated states, with an example showing that energy minimization and partial balayage are not equivalent in the two-phase case.
Range characterizations are established for the k-weighted conical Radon transform and Compton transform by factoring into divergent beam and spherical section transforms and combining with prior consistency conditions.
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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On the single-Hessian Gaussian wavepacket dynamics
Single-Hessian GWD conserves non-canonical symplectic structure and energy while matching local harmonic accuracy for molecular spectra at reduced computational cost.
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Multiphase quadrature domains (existence and uniqueness)
Multiphase quadrature domains exist and are unique under sufficient conditions via constrained minimization of an energy functional over segregated states, with an example showing that energy minimization and partial balayage are not equivalent in the two-phase case.
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Range characterization of the weighted divergent beam and cone integral transforms
Range characterizations are established for the k-weighted conical Radon transform and Compton transform by factoring into divergent beam and spherical section transforms and combining with prior consistency conditions.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.