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

L. A. Markovich, R. Grimaudo*, A. Messina, H. Nakazato

*この研究の対応する著者

研究成果査読

16 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)522-531
ページ数10
ジャーナルAnnals of Physics
385
DOI
出版ステータスPublished - 2017 10

ASJC Scopus subject areas

  • 物理学および天文学(全般)

フィンガープリント

「An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル