非平衡態量子場論（英文版） [Quantum Field Theory Of Non-equilibrium States] 下載 mobi epub pdf 電子書 2024

☆☆☆☆☆
簡體網頁||繁體網頁



點擊這裡下載

類似圖書 點擊查看全場最低價

---

內容簡介

　　The purpose of this book is to provide an introduction to the applications of quantum field theoretic methods to systems out of equilibrium. The reason for adding a book on the subject of quantum field theory is two-fold： the presentation is， to my knowledge， the first to extensively present and apply to non-equilibrium phenomena the real-time approach originally developed by Schwinger， and subsequently applied by Keldysh and others to derive transport equations. Secondly， the aim is to show the universality of the method by applying it to a broad range of phenomena. The book should thus not just be of interest to condensed matter physicists， but to physicists in general as the method is of general interest with applications ranging the whole scale from high-energy to soft condensed matter physics. The universality of the method， as testified by the range of topics covered， reveals that the language of quantum fields is the universal description of fluctuations， be they of quantum nature， thermal or classical stochastic. The book is thus intended as a contribution to unifying the languages used in separate fields of physics， providing a universal tool for describing non-equilibrium states.

內頁插圖

目錄

Preface
1 Quantum fields
1.1 Quantum mechanics
1.2 N-particle system
1.2.1 Identical particles
1.2.2 Kinematics of fermions
1.2.3 Kinematics of bosons
1.2.4 Dynamics and probability current and density
1.3 Fermi field
1.4 Bose field
1.4.1 Phonons
1.4.2 Quantizing a classical field theory
1.5 Occupation number representation
1.6 Summary

2 Operators on the multi-particle state space
2.1 Physical observables
2.2 Probability density and number operators
2.3 Probability current density operator
2.4 Interactions
2.4.1 Two-particle interaction
2.4.2 Fermio boson interaction
2.4.3 Electron-phonon interaction
2.5 The statistical operator
2.6 Summary

3 Quantum dynamics and Greens functions
3.1 Quantum dynamics
3.1.1 The SchrSdinger picture
3.1.2 The Heisenberg picture
3.2 Second quantization
3.3 Greens functions
3.3.1 Physical properties and Greens functions
3.3.2 Stable of one-particle Greens functions
3.4 Equilibrium Greens functions
3.5 Summary

4 Non-equilibrium theory
4.1 The non-equilibrium problem
4.2 Ground state formalism
4.3 Closed time path formalism
4.3.1 Closed time path Greens function
4.3.2 Non-equilibrium perturbation theory
4.3.3 Wicks theorem
4.4 Non-equilibrium diagrammatics
4.4.1 Particles coupled to a classical field
4.4.2 Particles coupled to a stochastic field
4.4.3 Interacting fermions and bosons
4.5 The self-energy
4.5.1 Non-equilibrium Dyson equations
4.5.2 Skeleton diagrams
4.6 Summary

5 Real-time formalism
5.1 Real-time matrix representation
5.2 Real-time diagrammatics
5.2.1 Feynman rules for a scalar potential
5.2.2 Feynman rules for interacting bosons and fermions
5.3 Triagonal and symmetric representations
5.3.1 Fermion-boson coupling
5.3.2 Two-particle interaction
5.4 The real rules： the RAK-rules
5.5 Non-equilibrium Dyscn equations
5.6 Equilibrium Dyscn equation
5.7 Real-time versus imaginary-time formalism
5.7.1 Imaginary-time formalism
5.7.2 Imaginary-time Greens functions
5.7.3 Analytical continuation procedure
5.7.4 Kadanoff-Baym equations
5.8 Summary

6 Linear response theory
6.1 Linear response
6.1.1 Density re~，ponse
6.1.2 Current response
6.1.3 Ccnductivity tensor
6.1.4 Ccnductance
6.2 Linear response cf Greens functions
6.3 Properties cf respone hmctions
6.4 Stability cf the thermal equilibrium ，tate
6.5 Fluctuation-dissipation theorem
6.6 Time-reversal symmetry
6.7 Scattering and correlation functions
6.8 Summary

7 Quantum kinetic equations
7.1 Left-right subtracted Dyson equation
7.2 Wigner or mixed coordinates
7.3 Gradient approximation
7.3.1 Spectral weight function
7.3.2 Quasi-particle approximation
7.4 Impurity scattering
7.4.1 Boltzmannian motion in a random potential
7.4.2 Brownian motion
7.5 Quasi-classical Greens function technique
7.5.1 Electron-phonon interaction
7.5.2 Renormalization of the a.c. conductivity
7.5.3 Excitation representation
7.5.4 Particle conservation
7.5.5 Impurity scattering
7.6 Beyond the quasi-classical approximation
7.6.1 Thermo-electrics and magneto-transport
7.7 Summary

8 Non-equilibrium superconductivity
8.1 BCS-theory
8.1.1 Nambu or particle-hole space
8.1.2 Equations of motion in Nambu Keldysh space
8.1.3 Greens functions and gauge transformations
8.2 Quasi-classical Greens function theory
8.2.1 Normalization condition
8.2.2 Kinetic equation
8.2.3 Spectral densities
8.3 Trajectory Greens functions
8.4 Kinetics in a dirty superconductor
8.4.1 Kinetic equation
8.4.2 Ginzburg-Landau regime
8.5 Charge imbalance
8.6 Summary

9 Diagrammatics and generating functionals
9.1 Diagrammatics
9.1.1 Propagators and vertices
9.1.2 Amplitudes and superposition
9.1.3 Fundamental dynamic relation
9.1.4 Low order diagrams
9.2 Generating functional
9.2.1 Fhnctional differentiation
9.2.2 From diagrammatics to differential equations
9.3 Connection to operator formalism
9.4 Fermions and Grassmann variables
9.5 Generator of connected amplitudes
9.5.1 Source derivative proof
9.5.2 Combinatorial proof
9.5.3 Functional equation for the generator
9.6 One-particle irreducible vertices
9.6.1 Symmetry broken states
9.6.2 Greens functions and one-particle irreducible vertices
9.7 Diagrammatics and action
9.8 Effective action and skeleton diagrams
9.9 Summary

10 Effective action
10.1 Functional integration
10.1.1 Functional Fourier transformation
10.1.2 Gaussian integrals
10.1.3 Fermionic path integrals
10.2 Generators as functional integrals
10.2.1 Euclid versus Minkowski
10.2.2 Wicks theorem and functionals
10.3 Generators and 1PI vacuum diagrams
10.4 1PI loop expansion of the effective action
10.5 Two-particle irreducible effective action
10.5.1 The 2PI loop expansion of the effective action
10.6 Effective action approach to Bose gases
10.6.1 Dilute Bose gases
10.6.2 Effective action formalism for bosons
10.6.3 Homogeneous Bose gas
10.6.4 Renormalization of the interaction
10.6.5 Inhomogeneous Bose gas
10.6.6 Loop expansion for a trapped Bose gas
10.7 Summary

11 Disordered conductors
11.1 Localization
11.1.1 Scaling theory of localization
11.1.2 Coherent backscattering
11.2 Weak localization
11.2.1 Quantum correction to conductivity
11.2.2 Cooperon equation
11.2.3 Quantum interference and the Cooperon
11.2.4 Quantum interference in a magnetic field
……

12 Classical Statistical Dynamics
Appendices

前言/序言

　　The purpose of this book is to provide an introduction to the applications of quantum field theoretic methods to systems out of equilibrium.　The reason for adding a book on the subject of quantum field theory is two-fold： the presentation is， to my knowledge， the first to extensively present and apply to non-equilibrium phenomena the real-time approach originally developed by Schwinger， and subsequently applied by Keldysh and others to derive transport equations. Secondly， the aim is to show the universality of the method by applying it to a broad range of phenomena. The book should thus not just be of interest to condensed matter physicists， but to physicists in general as the method is of general interest with applications ranging the whole scale from high-energy to soft condensed matter physics. The universality of the method， as testified by the range of topics covered， reveals that the language of quantum fields is the universal description of fluctuations， be they of quantum nature， thermal or classical stochastic. The book is thus intended as a contribution to unifying the languages used in separate fields of physics， providing a universal tool for describing non-equilibrium states.
　　Chapter 1 introduces the basic notions of quantum field theory， the bose and fermi quantum fields operating on the multi-particle state spaces. In Chapter 2， op- erators on the multi-particle space representing physical quantities of a many-body system are constructed. The detailed exposition in these two chapters is intended to ensure the book is self-contained.　In Chapter 3， the quantum dynamics of a many-body system is described in terms of its quantum fields and their correla- tion functions， the Gr 非平衡態量子場論（英文版） [Quantum Field Theory Of Non-equilibrium States] 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

量子場論是量子力學基本原理在具有無窮多自由度係統中的具體應用。此書介紹瞭非平衡態係統中的量子場論方法，以及非平衡態多體係統統計力學性質及其實時格林函數研究方法。簡明介紹完量子場論和格林函數後，作者講解瞭Schwinger閉時路徑方法，詳細討論瞭實時格林函數和費曼圖技術。作者利用準經典格林函數推導瞭量子運動學方程，並係統地研究瞭重整化效應，非平衡態超導，無序導體中的量子效應等議題。本書給齣瞭兩種研究非平衡態多體係統的方法：數學正則化方法和費曼圖方法。費曼圖方法的優點是簡單直觀，易於理解。

評分☆☆☆☆☆

好書啊好書，好書啊好書

評分☆☆☆☆☆

非常好的一本寫非平衡態格林函數的書。作者在 Review of Modern Physics 上有一篇這方麵的 review 文章。這本書比那個文章更細緻也更易讀。強烈推薦做 quantum transport 方麵研究的人都讀一讀。

評分☆☆☆☆☆

多讀書，可以讓你多增加一些課外知識。培根先生說過：“知識就是力量。”不錯，多讀書，增長瞭課外知識，可以讓你感到渾身充滿瞭一股力量。這種力量可以激勵著你不斷地前進，不斷地成長。讀書可以調節身體的血管流動，使你身心健康。[QY]所以用讀書來為自己放鬆心情也是一種十分明智的。 讀書能陶冶人的情操，給人知識和智慧。在書的海洋裏遨遊也是一種無限快樂的事情。讀書養性，讀書可以陶冶自己的性情，使自己溫文爾雅，具有書捲氣；從書中，你往往可以發現自己身上的不足之處，使你不斷地改正錯誤，擺正自己前進的方嚮。所以，書也是我們的良師益友。 多讀書，可以讓你變聰明，變得有智慧去戰勝對手。書讓你變得更聰明，你就可以勇敢地麵對睏難。讓你用自己的方法來解決這個問題。這樣，你又嚮你自己的人生道路上邁齣瞭一步。 多讀書，也能使你的心情便得快樂。讀書也是一種休閑，一種娛樂的方式。 其實讀書有很多好處,就等有心人去慢慢發現. 最大的好處是可以讓你有屬於自己的本領靠自己生存。

評分☆☆☆☆☆

好書啊好書，好書啊好書

評分☆☆☆☆☆

已有draft的電子版，趁店慶活動買實體書。

評分☆☆☆☆☆

非常好的一本寫非平衡態格林函數的書。作者在 Review of Modern Physics 上有一篇這方麵的 review 文章。這本書比那個文章更細緻也更易讀。強烈推薦做 quantum transport 方麵研究的人都讀一讀。

評分☆☆☆☆☆

非常好的一本寫非平衡態格林函數的書。作者在 Review of Modern Physics 上有一篇這方麵的 review 文章。這本書比那個文章更細緻也更易讀。強烈推薦做 quantum transport 方麵研究的人都讀一讀。

評分☆☆☆☆☆

好書啊好書，好書啊好書

類似圖書 點擊查看全場最低價