Singularities, Asymptotics, and Limiting Models
暫譯: 奇異性、漸近行為與極限模型
Cassano, Biagio, Cunden, Fabio Deelan, Gallone, Matteo
- 出版商: Springer
- 出版日期: 2025-08-03
- 售價: $5,810
- 貴賓價: 9.8 折 $5,694
- 語言: 英文
- 頁數: 351
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9819635837
- ISBN-13: 9789819635832
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相關分類:
微積分 Calculus
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作者簡介
Biagio Cassano is an associate professor at the University of Campania "L. Vanvitelli". His activity is set in the field of mathematical analysis and focuses on harmonic analysis and the study of partial differential equations. In particular, his research explores the properties of the equations of (non-relativistic and relativistic) quantum mechanics, possibly in presence of singular terms or in critical conditions.
Fabio Deelan Cunden is an assistant professor at the University of Bari, Italy. He works in mathematical physics and probability, in particular random matrices and their applications.
Matteo Gallone is a researcher in mathematical physics at the Mathematics Department of SISSA (Trieste). His research interests span theoretical physics, mathematical physics, and functional analysis. Alongside his academic work, he is passionate about science communication and actively engages in outreach to make complex scientific concepts accessible to a general audience. His work has explored operator-theoretic problems and nonlinear partial differential equations arising from quantum mechanical models. He has also investigated topics such as thermalisation and pre-thermalisation in classical and quantum systems, with a particular focus on their connections to hydrodynamics and turbulence. Recently, his research has extended to critical phenomena in rigorous statistical mechanics, applying techniques from the constructive renormalisation group to study these issues.
Marilena Ligabò is an associate professor at the University of Bari. Her research activity mainly concerns the mathematical aspects of quantum mechanics such as spectral analysis, the approximation of quantum dynamics and the semiclassical limit. Additional research interests include tomography, random matrix theory and the study of PDEs for elasticity and thermo-elasticity models.
Alessandro Michelangeli is an Alexander von Humboldt Senior Researcher at the Institute for Applied Mathematics and at the Hausdorff Center for Mathematics, Bonn, an associated member of the Trieste Institute for Theoretical Quantum Technologies, Trieste, and professor of mathematics and natural sciences at the Prince Mohammad Bin Fahd University, Al-Khobar, and David Flanagan professor of mathematics at the American University Bulgaria, Blagoevgrad. He previously held positions at the LMU Munich and the SISSA Trieste, as well as visiting positions at the CIRM Trento, the DPMMS Cambridge, and the departments of mathematics and of physics at Bilkent University, Ankara. His research is at the interface of analysis, mathematical physics, and theoretical physics. He is primarily involved in functional analysis, operator theory, and nonlinear partial differential equations.
作者簡介(中文翻譯)
比亞喬·卡薩諾(Biagio Cassano)是坎帕尼亞大學「L. Vanvitelli」的副教授。他的研究領域為數學分析,專注於調和分析和偏微分方程的研究。特別是,他的研究探討(非相對論性和相對論性)量子力學方程的性質,可能涉及奇異項或在臨界條件下的情況。
法比奧·德蘭·坎登(Fabio Deelan Cunden)是意大利巴里大學的助理教授。他的研究領域為數學物理和概率,特別是隨機矩陣及其應用。
馬泰奧·加隆(Matteo Gallone)是SISSA(的里雅斯特)數學系的數學物理研究員。他的研究興趣涵蓋理論物理、數學物理和泛函分析。除了學術工作外,他對科學傳播充滿熱情,積極參與推廣活動,使複雜的科學概念對一般觀眾更易於理解。他的研究探討了來自量子力學模型的算子理論問題和非線性偏微分方程。他還研究了經典和量子系統中的熱化和預熱化等主題,特別關注它們與流體力學和湍流的聯繫。最近,他的研究擴展到嚴謹統計力學中的臨界現象,應用來自建構重整化群的技術來研究這些問題。
瑪莉蓮娜·利加博(Marilena Ligabò)是巴里大學的副教授。她的研究活動主要涉及量子力學的數學方面,如譜分析、量子動力學的近似和半經典極限。其他研究興趣包括斷層成像、隨機矩陣理論以及彈性和熱彈性模型的偏微分方程研究。
亞歷山德羅·米凱朗基羅(Alessandro Michelangeli)是波恩應用數學研究所和豪斯多夫數學中心的亞歷山大·馮·洪堡高級研究員,也是的里雅斯特理論量子技術研究所的成員,並在阿爾科巴的穆罕默德·本·法赫德王子大學擔任數學和自然科學教授,以及保加利亞美國大學布拉戈耶夫格勒的數學大衛·弗拉納根教授。他曾在慕尼黑大學和SISSA的里雅斯特擔任職位,並在特倫托的CIRM、劍橋的DPMMS以及安卡拉的比爾肯特大學數學和物理系擔任訪問職位。他的研究位於分析、數學物理和理論物理的交界處,主要涉及泛函分析、算子理論和非線性偏微分方程。