In this paper the h-adaptive partition-of-unity method and the hand hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulomb and harmonic potentials, and the all-electron Kohn–Sham density functional theory. The partition-of-unity method is equipped with an a posteriori error estimator, thus enabling impleme...

We examine general aspects of parity functions arising in rational conformal eld theories, as a result of Galois theoretic properties of modular transformations. We focus more speciically on parity functions associated with aane Lie algebras, for which we give two eecient formulas. We investigate the consequences of these for the modular invariance problem.

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We examine general aspects of parity functions arising in rational conformal eld theories, as a result of Galois theoretic properties of modular transformations. We focus more speci cally on parity functions associated with a ne Lie algebras, for which we give two e cient formulas. We investigate the consequences of these for the modular invariance problem. a Chercheur Quali e FNRS

The possibility of parity violation in a gravitational theory with torsion is extensively explored in four and higher dimensions. In the former case, we have listed our conclusions on when and whether parity ceases to be conserved, with both two-and three-index antisymmetry of the torsion field. In the latter, the bulk spacetime is assumed to have torsion, and the survival of parity-violating t...