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Electron-Photon Cascades: A Probabilistic Point of View（电子-光子级联：概率观点）（英文版）

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购买：

作者：

Vladimir V. Uchaikin

定价：

199.00元

出版时间：

2025-03-18

ISBN：

978-7-04-063559-1

物料号：

63559-00

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

动力系统

重点项目：

暂无

版面字数：

800.00千字

开本：

特殊

全书页数：

暂无

装帧形式：

精装

前辅文
1 Introduction
- References
2 Basic Concepts of Cascade Theory
- 2.1 The General Scheme of the Cascade Process
- 2.2 Mathematical Expectation of a Measurand
- 2.3 Multiparticle Densities
- 2.4 Fluctuations of a Functional from a Random Measure
- 2.5 Characteristic and Generating Functionals
- 2.6 Interrelations Between Multiparticle Densities
- References
3 Forward (Basic) Equation for CP
- 3.1 The Generating Functional
- 3.2 Equations for GF
- 3.3 One-Particle Direct Equations
- 3.4 Multiparticle Direct Equations
- 3.5 Green’s Function
- 3.6 The Diagrammatic Representation
- 3.7 Dynamics of Correlation Forms
- References
4 Backward (Adjoint) Equation
- 4.1 Processes with a Single-Particle Initial State
- 4.2 Backward Equations for GFs and Multiparticle Densities
- 4.3 Multiparticle Importance Functions
- 4.4 Adjoint Equations and Adjoint Functions
- 4.5 The Perturbation Theory
- 4.6 Fluctuations and Correlations in Linear Functionals
- 4.7 Equations for Moments and Distribution of a Linear Functional
- 4.8 Fluctuations in an Arbitrary Additive Functional
- References
5 Electrons and Photons
- 5.1 Photon Birth (Classical Sketch)
- 5.2 Electromagnetic Field Operators
- 5.3 Bremsstrahlung (Quantum Sketch)
- 5.4 Compton Scattering
- 5.5 Photo Absorption and Pair Production
- 5.6 Continuous Energy Loss Model
- 5.7 Electron Multiple Scattering
  - 5.7.1 Energy Losses and Straggling (After Bohr)
  - 5.7.2 Fluctuations in Energy Losses (After Landau)
  - 5.7.3 The Link with the Generalized Limit Theorem
  - 5.7.4 The Angular Distribution (After Fermi)
- 5.8 Electron–Photon Cascades
- 5.9 Cascade Equations in Mellin’s Transforms
- References
6 Analytical Theory
- 6.1 Basic Equation of EPC Theory
- 6.2 Cascade Curves
  - 6.2.1 Electron Cascade Curve (From Primary Electron)
  - 6.2.2 Electron Cascade Curve (From Primary Photon)
- 6.3 Degradation Spectrum Problem
  - 6.3.1 Electron Energy Degradation Spectrum
  - 6.3.2 Photon Energy Degradation Spectrum
  - 6.3.3 On Accuracy of Degradation Spectra
- 6.4 LongitudinalMomentMethod
  - 6.4.1 Cascade Curve Phenomenology
  - 6.4.2 Cascade Curves’ Reconstruction
- 6.5 Including Electron Scattering
- 6.6 Beyond Small-Angle Approximation
- 6.7 Nishimura–Kamata Theory
- References
7 SBCE Method
- 7.1 Lagrange Polynomial Interpolation
- 7.2 Straight-Ahead Equation System
- 7.3 Solving Straight-Ahead System
- 7.4 Integral Terms in SBCE for Statistical Moments
- 7.5 Some Details in Bremsstrahlung Term
- 7.6 The SBCE Results Review
  - 7.6.1 The Total Electron Trace Length in an Infinite Medium
  - 7.6.2 Cascade Curves
  - 7.6.3 Particle Number Fluctuations
  - 7.6.4 Cherenkov Radiation in Atmosphere
  - 7.6.5 LPMEffect
- 7.7 Small-Angle Approximation
- 7.8 Angular Electron Distributions
- 7.9 Lateral Electron Distribution
- References
8 Statistical Fluctuations in EPC
- 8.1 Fluctuations in Electron Number
- 8.2 The Electron Total Trace Length
- 8.3 Fluctuations of Electron Path in a Layer
- 8.4 On the First Free Path in EPC Fluctuations
- 8.5 Random Moments Method (Longitudinal Development)
  - 8.5.1 Fluctuations in Cascade Curves
  - 8.5.2 Correlations in Cascade Curves
  - 8.5.3 Moment Covariance Matrix Equation
  - 8.5.4 Some Parameter Estimations
  - 8.5.5 On the Detector Reading Probability Distribution
- 8.6 Transverse Random Moments
- References
9 Cascades in Calorimeters
- 9.1 The Transition Effects
- 9.2 The Perturbation Theory Formulas
- 9.3 Adjoint Functions for Transition Effect
- 9.4 Flux Perturbation by Boundaries
- 9.5 Belenky’s Comment of the Transition Effect
- 9.6 Transition Effect at Shower Maximum
- 9.7 Total Particle Flux at a Boundary
- 9.8 Scintillation and Ionization Chambers
- 9.9 Transition Effect in Electromagnetic Calorimetry
- 9.10 Determination of the π-Meson Beam Composition
- References
10 Monte Carlo Modeling
- 10.1 Introduction
- 10.2 Random Numbers
- 10.3 Non-branching Trajectory in a Homogeneous Medium
- 10.4 The Measured Characteristics of Particle Transport
- 10.5 Non-analog Simulations of Detector Response
- 10.6 Non-analog Simulation of Trajectories
- 10.7 The Variance of Estimators
- 10.8 Examples of Weight MC Modifications
- 10.9 Weighting Estimation of Correlations in Branching Processes
  - 10.9.1 Equations for the Distribution Function and Its Moments
  - 10.9.2 The First Moment Modified Estimation
  - 10.9.3 Some Examples
  - 10.9.4 The Modified Estimation of the Second Moment
- 10.10 AEGIS Code
- References
11 Stochastic Phenomenology of EAS
- 11.1 EAS Structure
- 11.2 Multiple Process Models
- 11.3 Parametric Sensitivity Analysis
- 11.4 Functional Sensitivity Analysis
- 11.5 Solving Equations for Second Moments
- 11.6 EAS Covariance Matrix
- 11.7 Inelasticity and Multiplicity Fluctuations
- 11.8 Two-Component Model of Fluctuations
- References
12 Cherenkov Radiation of EPC
- 12.1 Radiation in a Homogeneous Medium (B-Approximation)
- 12.2 Cherenkov Radiation in Water (Monte Carlo)
- 12.3 Cherenkov Radiation in Atmosphere
- 12.4 ALTAI Code
  - 12.4.1 Electromagnetic Cascade
  - 12.4.2 Emission of Cherenkov Light
  - 12.4.3 Hadron-Nuclei Cascade
  - 12.4.4 Nucleus-Nucleus Interactions
  - 12.4.5 Comparison with Other Codes and Data
- 12.5 Semianalytical Monte Carlo Method
  - 12.5.1 The SAMC Philosophy
  - 12.5.2 Equations for Equivalent Sources
  - 12.5.3 Sampling From the Equivalent Source
  - 12.5.4 Primary-Energy Correction
  - 12.5.5 The SAMC Errors and CTMC Estimation
- 12.6 The Lateral Light Distribution
- 12.7 Fluctuations in the Cherenkov Light Amplitude
- 12.8 Time Structure of the Cherenkov Signal
- 12.9 Cherenkov Image of EPC
- References
13 Relativistic EPC in Intergalactic Medium
- 13.1 Introduction
- 13.2 The Ivanenko–Sizov Theory
- 13.3 EPC From Monoenergetic Source
- 13.4 EPC in Monochromatic Photon Field
- 13.5 Variational Analysis
- 13.6 EPC in Magnetic Fields
- References
14 Cascade Ages, Similarity, Universality, and All That
- 14.1 Longitudinal Parameterizations and Uncertainties
- 14.2 EAS with Respect to the Shower Age
- 14.3 Lateral Distribution Fitting
- 14.4 The TAP-LAP Analysis
- 14.5 Space–Time Similarity Relations in Inclined Air Showers
- References
Appendix A: Method of Integral Transformations
Appendix B: An Excerpt From Ivanenko–Roganova Book
Appendix C: A Few Images From Prof. Ivanenko Scientific Group Archiv
Index
Author Index