The de Sitter (Ds) Group and Its Representations: An Introduction to Elementary Systems and Modeling the Dark Energy Universe
暫譯: de Sitter (Ds) 群及其表示:基礎系統與暗能量宇宙建模入門

Enayati, Mohammad, Gazeau, Jean-Pierre, Pejhan, Hamed

  • 出版商: Springer
  • 出版日期: 2025-05-01
  • 售價: $2,030
  • 貴賓價: 9.5$1,929
  • 語言: 英文
  • 頁數: 241
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031565541
  • ISBN-13: 9783031565540
  • 相關分類: 量子 Quantum
  • 海外代購書籍(需單獨結帳)

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商品描述

This Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the "smooth" transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group.

商品描述(中文翻譯)

本書第二版是一次全面的更新,整合了在 de Sitter (dS) 群表示領域的最新研究和理論進展。在第一版成功的基礎上,本書提供了對數學方面、概念基礎和與 dS 群相關的實際應用的更深入分析,包括其李流形、李代數和共伴隨軌道,並將後者視為在 dS 時空背景下的潛在經典基本系統。此外,對單元不可約表示 (UIRs) 的研究揭示了在 dS 時空框架內量子基本系統潛在存在的可能性。作者強調與維根 (Wigner) 對基本系統的看法的一致性,納入維根的原則並探索 dS 群的投影 UIRs,並提供對 dS 基本系統本質的更深入見解。特別注意以下幾點:從經典到量子理論的“平滑”過渡、在曲率消失下的物理內容,以及從量子角度的熱解釋。本書還專注於在曲率時空中基本系統的物理解釋,認識到傳統概念在平坦的閏科夫斯基時空和龐加萊群中衍生的局限性。

作者簡介

Mohammad Enayati, Ph.D., is a Resident Researcher at Razi University where he received his Ph.D. in theoretical physics in 2017. He has also been a visiting researcher at Azad University and Zhejiang University of Technology. His research interests include group-theoretical methods in physics, with an emphasis on de Sitter (spacetime) symmetry considerations on both classical and quantum levels.

Jean-Pierre Gazeau, Ph.D., is an Emeritus Professor at the University Paris Cité. He was chairman of the Standing Committee of the International Colloquium on Group Theoretical Methods in Physics from 2006 to 2014. He obtained his academic degrees from Sorbonne University and Pierre-and-Marie Curie University. He has authored more than 252 scientific publications, including three books, in theoretical and mathematical physics, mostly devoted to group theoretical methods in physics, coherent states, quantization methods, number theory for aperiodic systems, and foundations of quantum physics.

Hamed Pejhan, Ph.D., is a Senior Postdoctoral Researcher at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. Dr. Pejhan previously served as a Postdoctoral Fellow at Zhejiang University of Technology. He has authored more than 20 scientific publications in theoretical and mathematical physics, primarily focusing on the application of group theoretical methods in physics. His research pays particular attention to developing a consistent formulation of quantum elementary systems in (anti-) de Sitter spacetime.

Anzhong Wang, PhD, is a Professor from Physics Department, Baylor University. His research interests include classical and quantum theories of gravity, their applications to cosmology and black hole physics; gravitational wave astronomy, and the nature and origins of dark matter and dark energy. He has published more than 290 articles and received approximately10,000 citations. He has been among the top 2% cited world scientists over all science fields in recent years.


作者簡介(中文翻譯)

穆罕默德·恩雅提(Mohammad Enayati),博士,是拉齊大學的駐校研究員,於2017年獲得理論物理學博士學位。他曾擔任阿扎德大學和浙江工業大學的訪問研究員。他的研究興趣包括物理學中的群論方法,特別強調在經典和量子層面上的德西特(de Sitter)時空對稱考量。

讓-皮埃爾·加索(Jean-Pierre Gazeau),博士,是巴黎城市大學的名譽教授。他曾於2006年至2014年擔任國際物理學群論方法研討會常務委員會主席。他在索邦大學和皮埃爾-瑪麗·居里大學獲得學位。他在理論和數學物理學領域發表了超過252篇科學論文,包括三本書,主要專注於物理學中的群論方法、相干態、量子化方法、非周期系統的數論以及量子物理的基礎。

哈梅德·佩詹(Hamed Pejhan),博士,是保加利亞科學院數學與資訊學研究所的高級博士後研究員。佩詹博士曾在浙江工業大學擔任博士後研究員。他在理論和數學物理學領域發表了超過20篇科學論文,主要集中於群論方法在物理學中的應用。他的研究特別關注於在(反)德西特時空中發展一致的量子基本系統的表述。

王安忠(Anzhong Wang),博士,是貝勒大學物理系的教授。他的研究興趣包括重力的經典和量子理論及其在宇宙學和黑洞物理學中的應用;引力波天文學,以及暗物質和暗能量的性質與起源。他已發表超過290篇文章,並獲得約10,000次引用。近年來,他在所有科學領域中被引用的比例位於全球前2%。

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