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Unifying classical and quantum physicshow classical and quantum physics can pass smoothly back and forth /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Unifying classical and quantum physicsby Riccardo Fantoni.
其他題名:	how classical and quantum physics can pass smoothly back and forth /
作者:	Fantoni, Riccardo.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xxviii, 114 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Quantum theory.
電子資源:	https://doi.org/10.1007/978-3-031-98123-4
ISBN:	9783031981234$q(electronic bk.)

Unifying classical and quantum physicshow classical and quantum physics can pass smoothly back and forth /
Fantoni, Riccardo.

Unifying classical and quantum physicshow classical and quantum physics can pass smoothly back and forth /[electronic resource] :by Riccardo Fantoni. - Cham :Springer Nature Switzerland :2025. - xxviii, 114 p. :ill., digital ;24 cm.

Introduction -- Triviality of four dimensional ϕ 4 theory on the lattice -- The Higgs boson -- Initial singularity problem -- Quantization procedures -- Real scalar field theory -- Path integral Monte Carlo -- Complex scalar field theory -- Conclusions.

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.

ISBN: 9783031981234$q(electronic bk.)

Standard No.: 10.1007/978-3-031-98123-4doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

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505 0 $a Introduction -- Triviality of four dimensional ϕ 4 theory on the lattice -- The Higgs boson -- Initial singularity problem -- Quantization procedures -- Real scalar field theory -- Path integral Monte Carlo -- Complex scalar field theory -- Conclusions.
520 $a 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.
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