Di Giorgio, Ilenia (2025) Nonlinear models: from Quantum Biology to Quantum Hybrids. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Nonlinear models: from Quantum Biology to Quantum Hybrids |
| Autori: | Autore Email Di Giorgio, Ilenia ilenia.digiorgio@unina.it |
| Data: | 10 Febbraio 2025 |
| Numero di pagine: | 101 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Matematica e Applicazioni |
| Ciclo di dottorato: | 37 |
| Coordinatore del Corso di dottorato: | nome email Nitsch, Carlo c.nitsch@unina.it |
| Tutor: | nome email Trombetti, Cristina [non definito] |
| Data: | 10 Febbraio 2025 |
| Numero di pagine: | 101 |
| Parole chiave: | Hybrids; double plane |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Informazioni aggiuntive: | Dottoranda appartenente al ciclo 37 |
| Depositato il: | 21 Ott 2025 20:25 |
| Ultima modifica: | 12 Ago 2026 05:38 |
| URI: | https://www.fedoa.unina.it/id/eprint/16694 |
Abstract
In the first part of the thesis, I present a novel model of a quantum hybrid, consisting of two planes interconnected at a single point. We explore the existence and characteristics of normalized ground states within a nonlinear Schrödinger equation, specifically focusing on how these states are influenced by key model parameters. Additionally, we will analyze the distribution of mass across the two planes and examine variations in the strengths of the logarithmic singularities on each plane, as influenced by changes in the matching condition parameters and the powers of the nonlinear terms. In the second part, I present how biological processes reveal abilities which are very impressive and cannot be adequately explained with the only use of traditional (classical) approaches. A certain amount of quantum mechanics is thought to be used by nature in order to enhance the efficiency of the underlying processes. The model used is based on the Schrödinger equation associated to a time-dependent Hamiltonian, describing the propagation of an absorbed photon through a spin-chain towards the reaction center of the photosynthesis apparatus (Spin-Boson model).
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