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Disfavoring the Schrodinger-Newton equation in explaining the emergence of classicality

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Autor(es):
da Silva, Joao V. B. ; Aguiar, Gabriel H. S. ; Matsas, George E. A.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 108, n. 1, p. 6-pg., 2023-07-24.
Resumo

The main goal of this paper is to provide some insight into how promising the Schrodinger-Newton equation would be to explain the emergence of classicality. Based on the similarity of the Newton and Coulomb potentials, we add an electric self-interacting term to the Schrodinger-Newton equation for the hydrogen atom. Our results rule out the possibility that single electrons self-interact through their electromagnetic field. Next, we use the hydrogen atom to get insight into the intrinsic difficulty of testing the Schrodinger-Newton equation itself and conclude that the Planck scale must be approached before sound constraints are established. Although our results cannot be used to rule out the Schrodinger-Newton equation at all, they might be seen as disfavoring it if we base our reasoning on the resemblance between the gravitational and electromagnetic interactions at low energies. (AU)

Processo FAPESP: 22/10561-9 - Teoria quântica de campos em espaços-tempos curvos e retroação
Beneficiário:George Emanuel Avraam Matsas
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 22/08424-3 - Gravitação quântica em energias abaixo da escala de Planck
Beneficiário:Gabriel Henrique Sarmento Aguiar
Modalidade de apoio: Bolsas no Brasil - Doutorado Direto