### 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.

Original language | English |
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Pages (from-to) | 522-531 |

Number of pages | 10 |

Journal | Annals of Physics |

Volume | 385 |

DOIs | |

Publication status | Published - 2017 Oct 1 |

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### Keywords

- Riccati equation
- Solvable model
- Time-dependent Hamiltonian
- Unitary evolution

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*385*, 522-531. https://doi.org/10.1016/j.aop.2017.07.008