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Unifying classical and quantum physics = how classical and quantum physics can pass smoothly back and forth /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Unifying classical and quantum physics/ by Riccardo Fantoni.
Reminder of title:	how classical and quantum physics can pass smoothly back and forth /
Author:	Fantoni, Riccardo.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xxviii, 114 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Quantum theory. -
Online resource:	https://doi.org/10.1007/978-3-031-98123-4
ISBN:	9783031981234

Unifying classical and quantum physics = how 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

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

516552
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

Unifying classical and quantum physics = how classical and quantum physics can pass smoothly back and forth /
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245 1 0 $a Unifying classical and quantum physics $h [electronic resource] : $b how classical and quantum physics can pass smoothly back and forth / $c by Riccardo Fantoni.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xxviii, 114 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Quantum theory. $3 516552
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Classical Mechanics. $3 3216970
650 2 4 $a Fundamental concepts and interpretations of QM. $3 3632636
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Physics and Astronomy. $3 3538869
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773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-98123-4
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