Unifying Classical and Quantum Physics: How Classical and Quantum Physics Can Pass Smoothly Back and Forth
暫譯: 統一古典物理學與量子物理學：古典與量子物理學如何順暢地來回轉換

Fantoni, Riccardo

Unifying Classical and Quantum Physics: How Classical and Quantum Physics Can Pass Smoothly Back and Forth
  • 出版商: Springer
  • 出版日期: 2026-10-15
  • 售價: $5,040
  • 貴賓價: 9.5 折 $4,788
  • 語言: 英文
  • 頁數: 114
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031981251
  • ISBN-13: 9783031981258
  • 相關分類: 物理學 Physics

    • 海外代購書籍(需單獨結帳)

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商品描述

This book presents a comprehensive exploration of affine quantization and its implications for quantum mechanics, quantum field theory, and even quantum gravity. Canonical quantization has been a cornerstone of quantum mechanics, but it struggles with certain fundamental problems, such as the quantization of a particle in a box. A new approach, affine quantization, offers a more robust framework, addressing challenges that canonical methods cannot resolve.

Drawing on the results of our collaboration, we develop a self-contained and rigorous exposition, complete with detailed proofs. Our goal is to provide a valuable reference for graduate students, mathematicians, and physicists seeking deeper insights into unresolved issues of the Standard Model--particularly the Higgs sector--and quantum gravity. From the triviality problem in scalar field theories to the role of quantization in addressing singularities, this book connects fundamental mathematical concepts with pressing questions in modern physics.

By presenting both theoretical developments and numerical results, we offer readers a structured approach to exploring novel quantization methods and their impact on contemporary physics.

商品描述(中文翻譯)

本書全面探討仿射量子化（affine quantization），以及其對量子力學、量子場論，乃至量子重力的影響。正則量子化（canonical quantization）一直是量子力學的基石，但在某些基本問題上仍面臨困難，例如盒中粒子的量子化。全新的方法——仿射量子化——提供了更穩健的架構，能夠處理正則方法無法解決的挑戰。

本書奠基於我們合作研究的成果，提出自成一體且嚴謹的論述，並附有詳細證明。我們的目標是為研究未解決問題、且希望深入理解標準模型（Standard Model）——尤其是 Higgs 區域——與量子重力的研究生、數學家及物理學家，提供一份具參考價值的資料。從純量場論中的平凡性問題（triviality problem），到量子化在處理奇異性（singularities）方面所扮演的角色，本書將基本數學概念與現代物理學中的重要問題相互連結。

透過同時呈現理論發展與數值結果，本書為讀者提供一套有系統的方法，用以探索新穎的量子化方法，以及這些方法對當代物理學所產生的影響。

作者簡介

Riccardo Fantoni was born in Livorno, Italy, on August 30, 1970. He earned his physics degree cum laude from the University of Pisa in 1995 before pursuing graduate studies at the University of Illinois at Urbana-Champaign, where he obtained a Master's in Physics in 1997. He later earned a Ph.D. in Physics from the University of Trieste in 2004.

Dr. Fantoni has held research and teaching positions at prestigious institutions, including the University "Ca' Foscari" of Venice (2005-2008) and the National Institute for Theoretical Physics at Stellenbosch University (2009-2012). In 2018, he became a full professor of mathematics in the Italian secondary school system, and in 2019, he obtained the Italian national habilitation as an associate professor in theoretical physics of condensed matter.

His research focuses on developing analytical and computational methods for condensed and soft matter physics.

作者簡介(中文翻譯)

Riccardo Fantoni 於 1970 年 8 月 30 日出生於義大利 Livorno。他於 1995 年以優異成績取得 University of Pisa 的物理學學位，之後前往 University of Illinois at Urbana-Champaign 深造，並於 1997 年取得物理學碩士學位。其後，他於 2004 年取得 University of Trieste 的物理學博士學位。

Fantoni 博士曾在多所知名機構擔任研究與教學職務，包括 University 'Ca' Foscari' of Venice（2005 至 2008 年）以及 Stellenbosch University 的 National Institute for Theoretical Physics（2009 至 2012 年）。2018 年，他成為義大利中等教育體系的數學正教授；2019 年，他取得義大利國家學術資格認證，成為凝聚態理論物理學副教授。

他的研究著重於為凝聚態物理與軟物質物理開發分析方法與計算方法。

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