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.

Markovich, L., Grimaudo, R., Messina, A., Nakazato, H. (2017). An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations. ANNALS OF PHYSICS, 385, 522-531 [10.1016/j.aop.2017.07.008].

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

Grimaudo, R.
Writing – Original Draft Preparation
;
Messina, A.
Writing – Original Draft Preparation
;
2017-01-01

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.
2017
Settore FIS/03 - Fisica Della Materia
Markovich, L., Grimaudo, R., Messina, A., Nakazato, H. (2017). An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations. ANNALS OF PHYSICS, 385, 522-531 [10.1016/j.aop.2017.07.008].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/314397
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