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Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems

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Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems

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Blanes Zamora, S.; Casas, F.; Escorihuela-Tomàs, A. (2022). Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems. Journal of Computational Dynamics. 9(2):85-101. https://doi.org/10.3934/jcd.2021022

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Título: Applying Splitting Methods With Complex Coefficients To The Numerical Integration Of Unitary Problems
Autor: Blanes Zamora, Sergio Casas, Fernando Escorihuela-Tomàs, Alejandro
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny
Fecha difusión:
Resumen:
[EN] We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schriidinger equation. We prove that a particular class of integrators are conjugate to unitary ...[+]
Palabras clave: Splitting methods , Unitary problems , Complex coefficients , Preservation properties
Derechos de uso: Cerrado
Fuente:
Journal of Computational Dynamics. (issn: 2158-2491 )
DOI: 10.3934/jcd.2021022
Editorial:
American Institute of Mathematical Sciences
Versión del editor: https://doi.org/10.3934/jcd.2021022
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104927GB-C21/ES/METODOS DE INTEGRACION GEOMETRICA PARA PROBLEMAS CUANTICOS, MECANICA CELESTE Y SIMULACIONES MONTECARLO I/
info:eu-repo/grantAgreement/MICINN//PID2019-104927GB-C21//METODOS DE INTEGRACION GEOMETRICA PARA PROBLEMAS CUANTICOS, MECANICA CELESTE Y SIMULACIONES MONTECARLO I/
info:eu-repo/grantAgreement/MICINN//BES-2017-079697/
Agradecimientos:
Work supported by Ministerio de Ciencia e Innovacion (Spain) through project PID2019-104927GB-C21/AEI/10.13039/501100011033. A.E.-T. has been additionally funded by the pre-doctoral contract BES-2017-079697 (Spain) .
Tipo: Artículo

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