An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations

Roberto Grimaudo, Antonino Messina, Markovich, Grimaudo, Nakazato, Messina

Risultato della ricerca: Articlepeer review

13 Citazioni (Scopus)

Abstract

A novel recipe for exactly solving in finite terms a class of special differential Riccati equations is reported. Our procedure is entirely based on a successful resolution strategy quite recently applied to quantum dynamical time-dependent SU(2) problems. The general integral of exemplary differential Riccati equations, not previously considered in the specialized literature, is explicitly determined to illustrate both mathematical usefulness and easiness of applicability of our proposed treatment. The possibility of exploiting the general integral of a given differential Riccati equation to solve an SU(2) quantum dynamical problem, is succinctly pointed out.
Lingua originaleEnglish
pagine (da-a)522-531
Numero di pagine10
RivistaAnnals of Physics
Volume385
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

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