Abstract
We present a method to obtain the proven exact 2-component (X2C) method, normally applied to Gaussian-type fixed Hilbert bases, in an adaptative non-uniform grid basis of the Hilbert space, namely Multiwavelets. The X2C method manages to block-diagonalise the Dirac Hamiltonian restricted to the subspace of the basis, in an energy-independent manner. The method takes inspiration from the success of the atomic mean-field X2C method on the Gaussian bases to represent the coupling operator as a projector onto the small components of the eigenstates of the constituent atoms of the system.
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Cite this article
APA 7
Pitteloud, Q., Masotti, J., & Frediani, L. (2026). X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis. https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis
MLA 9
Pitteloud, Quentin, et al. "X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis." https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis.
Chicago (author–date)
Pitteloud, Quentin, Jacopo Masotti, and Luca Frediani. 2026. "X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis." https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis.
Harvard
Pitteloud, Q., Masotti, J. and Frediani, L. (2026) 'X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis', Available at: https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis.
Vancouver
Pitteloud Q, Masotti J, Frediani L. X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis. https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis
IEEE
Q. Pitteloud, J. Masotti, and L. Frediani, "X2C-inspired approximation of the Dirac coupling operator in a multiwavelet basis," https://omanscience.com/en/articles/x2c-inspired-approximation-of-the-dirac-coupling-operator-in-a-multiwavelet-basis.