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19942023
most citedSingle-particle digitization strategy for quantum computation of a scalar field theory

68 citations · 535 across the 36 of their papers we have counts for

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8 papers · 1 filter

math-ph2017★ 1 cited

Wavepackets on de Sitter spacetime

João C. A. Barata, Marcos Brum

We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal envelo…

math-ph2016★ 6 cited

Interacting Quantum Fields on de Sitter Space

João C. A. Barata, Christian D. Jäkel, Jens Mund

In 1975 Figari, Høegh-Krohn and Nappi constructed the P(phi)_2 model on the de Sitter space. Here we complement their work with new results, as well as by connecting this model to…

math-ph2013

The Model on the de Sitter Space

João C. A. Barata, Christian D. Jäkel, Jens Mund

In 1975 by Figari, Høegh-Krohn and Nappi constructed the model on the two-dimensional de Sitter space. Here we complement their work with a number of new result…

math-ph2013

Octonionic formulation of the fully symmetric Maxwell's equations in 3+1 dimensions

K. Pushpa, J. C. A. Barata

Using octonions, more specifically, using a 4 x 4 matrix representation of octonions obtained with the help of algebraic properties of quaternions, we obtain the fully symmetric Ma…

math-ph2009★ 13 cited

The Coulomb phase shift revisited

J. C. A. Barata, L. F. Canto, M. S. Hussein

We investigate the Coulomb phase shift, and derive and analyze new and more precise analytical formulae. We consider next to leading order terms to the Stirling approximation, and…

math-ph2004★ 17 cited

Stability for quasi-periodically perturbed Hill's equations

Guido Gentile, Daniel A. Cortez, Joao C. A. Barata

We consider a perturbed Hill's equation of the form , where is real analytic and periodic, is real analytic and quasi-periodic…