Klienditugi: 7440010 (E-R 10-18)

Abi | Registreeri | Logi sisse

E-raamat: Mathematical Physics for Nuclear Experiments [Taylor & Francis e-raamat]

Andrew E. Ekpenyong

Formaat: 258 pages, 37 Line drawings, black and white; 1 Halftones, black and white; 38 Illustrations, black and white
Ilmumisaeg: 21-Jan-2022
Kirjastus: CRC Press
ISBN-13: 9781003215622

Teised raamatud teemal:

Taylor & Francis e-raamat
Hind: 240,04 €*
* hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
Tavahind: 342,91 €
Säästad 30%

Formaat: 258 pages, 37 Line drawings, black and white; 1 Halftones, black and white; 38 Illustrations, black and white
Ilmumisaeg: 21-Jan-2022
Kirjastus: CRC Press
ISBN-13: 9781003215622

Teised raamatud teemal:

Rohkem infot Taylor & Francis e-raamatute kohta

Raamatu kodulehekülg: https://www.taylorfrancis.com/books/9781003215622

Mathematical Physics for Nuclear Experiments presents an accessible introduction to the mathematical derivations of key equations used in describing and analysing results of typical nuclear physics experiments. Instead of merely showing results and citing texts, crucial equations in nuclear physics such as the Bohr’s classical formula, Bethe’s quantum mechanical formula for energy loss, Poisson, Gaussian and Maxwellian distributions for radioactive decay, and the Fermi function for beta spectrum analysis, among many more, are presented with the mathematical bases of their derivation and with their physical utility.

This approach provides readers with a greater connection between the theoretical and experimental sides of nuclear physics. The book also presents connections between well-established results and ongoing research. It also contains figures and tables showing results from the author’s experiments and those of his students to demonstrate experimental outcomes.

This is a valuable guide for advanced undergraduates and early graduates studying nuclear instruments and methods, medical and health physics courses as well as experimental particle physics courses.

Key features

Contains over 500 equations connecting theory with experiments.
Presents over 80 examples showing physical intuition and illustrating concepts.
Includes 80 exercises, with solutions, showing applications in nuclear and medical physics.

Preface to the first edition

xiii

About the Author

Acknowledgements

xvii

Symbols

xix

Chapter 1 Radioactivity and Decay Law

(60)

1.1 The Radioactive Decay Law

(6)

1.2 Radioactive Decay Chain

(8)

1.2.1 The Bateman Equations

(1)

1.2.1.1 The System of Differential Equations

(1)

1.2.1.2 Laplace Transformations

(1)

1.2.1.3 Inverse Laplace Transformations or Partial Fractions

(4)

1.3 Transient And Secular Equilibria

(6)

1.3.1 Transient Equilibrium Applications

(2)

1.3.2 Matrix Exponential and Other Methods for Bateman Equations

(1)

1.4 Radioactive Decay Energy Calculations

(4)

1.5 Mathematical Elements Of Alpha Decay

(6)

1.5.1 Basics of Alpha Decay

(5)

1.5.2 Geiger-Nuttall Law

(1)

1.6 Mathematical Aspects Of Beta Decay

(12)

1.6.1 Beta Decay Equations and Spectra

(3)

1.6.2 Continuous Beta Spectrum and Neutrinos

(1)

1.6.3 Transition Rate and Fermi-Kurie Plots

(8)

1.7 Mathematical Physics Of Gamma Decay

(12)

1.7.1 Isomeric: Transition Energetics and Multipole Selection Rules

(2)

1.7.1.1 Parity, Spin and Angular Momentum in Multipole Selection Rules

(3)

1.7.2 Internal Conversion Coefficients

(3)

1.7.3 Electron Capture versus Isomeric Transition

(1)

1.7.4 Auger Electrons

(1)

1.7.5 Coincidences and Angular Correlations

(2)

1.8 Spontaneous Fission

(1)

1.9 Answers

(5)

Chapter 2 Probability and Statistics for Nuclear Experimental Data

(50)

2.1 Probability Distributions And Their Characteristics

(5)

2.1.1 Cumulative Distribution

(1)

2.1.2 Expectation Values, Mean, Variance and Covariance

(3)

2.2 Binomial Distribution

(3)

2.3 Poisson Distribution

(9)

2.4 Gaussian Or Normal Distribution

(4)

2.5 Maxwellian Distribution

(1)

2.6 Chi-Square Distribution

(4)

2.7 Exponential Distribution

(1)

2.8 Landau and Other Distributions

(3)

2.9 Determination And Tests Of Probability Distributions

(7)

2.9.1 Estimation of Mean, Variance and Covariance from Samples

(2)

2.9.2 Using Relative Frequency for Sample Mean and Variance

(1)

2.9.3 Chi-Square Test and other Statistical Tests on Experimental Data

(4)

2.10 Uncertainties: Calculation And Expression

(3)

2.10.1 Accuracy and Precision, Error and Uncertainty

(2)

2.10.2 Statistical and Systematic Uncertainties

(1)

2.10.2.1 Statistical or Random Uncertainties

(1)

2.10.2.2 Systematic Uncertainties

(1)

2.10.3 Calculation, Estimation and Expression of Uncertainties

100

(1)

2.11 Error Propagation

100

(8)

2.11.1 Error Propagation Formula

100

(3)

2.11.2 Examples of Error Propagation

103

(5)

2.12 Answers

108

(3)

Chapter 3 Energy Loss of Heavy Charged Particles through Matter

111

(40)

3.1 General Results And Perturbation Theory

111

(5)

3.2 Bohr's Classical Formula

116

(5)

3.2.1 Terminology and Physical Basis

116

(1)

3.2.2 Classical Derivation

117

(4)

3.3 Bethe's Quantum Mechanical Formula

121

(6)

3.3.1 Derivation of Differential Cross Section

121

(3)

3.3.2 Validity Conditions and Relativistie Corrections

124

(3)

3.4 Bloch And Other Extensions Of Bethe's Formula

127

(9)

3.4.1 Summary of Corrections and Extensions

127

(1)

3.4.2 Bloch's Correction and Extensions: Mathematical

128

(8)

3.5 Range Of Heavy Charged Particles

136

(4)

3.6 Medical Applications Of Bragg Peak

140

(2)

3.7 Identification Of Particles And Other Applications

142

(4)

3.8 Pstar, Astar And Other Software Packages

146

(1)

3.9 Radiative Loss Via Bremsstrahlung For Heavy Charged Particles

147

(2)

3.10 Answers

149

(2)

Chapter 4 Energy Loss of Electrons and Positrons through Matter

151

(28)

4.1 Collisional Loss And Modified Be The Formula

151

(8)

4.2 Radiative Loss Via Bremsstrahlung For Light Charged Particles

159

(7)

4.3 Range Of Light Charged Particles

166

(4)

4.3.1 Radiation Yield

169

(1)

4.4 Estar And Other Software Packages

170

(1)

4.5 Multiple Coulomb Scattering And Gaussian Approximations

171

(1)

4.6 Tamm-Frank-Cerenkov Radiation Formula

172

(3)

4.7 Transition Radiation

175

(1)

4.8 Answers

176

(3)

Chapter 5 Interactions of Photons in Matter

179

(40)

5.1 Photon Attenuation And The Exponential Function

179

(9)

5.2 Photoelectric Cross-Section And Born Approximation

188

(10)

5.2.1 Photoelectric Effect

188

(2)

5.2.2 Photoelectric Cross Section from Perturbation Theory

190

(1)

5.2.2.1 Initial and Final States

191

(1)

5.2.2.2 Interaction and Result

191

(7)

5.3 Klein-Nishina Formula For Compton Scattering

198

(10)

5.3.1 Compton Scattering

198

(7)

5.3.2 Derivation of the Klein-Nishina formula

205

(3)

5.4 Thomson And Rayleigh Scattering

208

(3)

5.5 Pair Production And Born Approximation

211

(6)

5.5.1 Kinematics of Pair/Triplet Production

212

(2)

5.5.2 Differential Cross Section for Pair Production

214

(3)

5.6 Answers

217

(2)

Appendix A General Mathematical Definitions and Derivations

219

(12)

A.1 Cross Sections

219

(2)

A.1.1 Scattering and Absorption Cross Sections

219

(2)

A.1.2 Differential Cross Sections

221

(1)

A.1.3 Total Cross Sections

221

(1)

A.2 Schrodinger's Equation And Cross Sections

221

(3)

A.3 Born Approximations

224

(7)

A.3.1 Perturbation Theory

224

(2)

A.3.2 First Born Approximation for Scattering Amplitude

226

(1)

A.3.3 Born Series using Green's Function

227

(2)

A.3.3.1 Zeroth Order Solution

229

(1)

A.3.3.2 First Order Solution

229

(1)

A.3.3.3 Second Order Solution

229

(1)

A.3.3.4 Nth Order Solution

230

(1)

Appendix B Experimental Data: From Creighton University NIM Lab

231

(2)

B.1 Data:
Chapter 2

231

(2)

B.1.1 Data for Fig. 2.6

231

(2)

Appendix C Nuclear Physics Databases: E-sources

233

(8)

C.1 Atomic Weights And Isotopic Compositions With Relative Atomic Masses

233

(2)

C.2 Fundamental Physical Constants

235

(1)

C.3 Periodic Table

236

(1)

C.4 Photon Cross Sections: Xcom

237

(1)

C.5 Stopping-Power & Range Tables For Electrons: Estar

238

(1)

C.6 Stopping-Power & Range Tables For Protons: Pstar

239

(2)

Bibliography

241

(14)

Index

255

Andrew Ekpenyong is a professor at Creighton University, USA. He earned his PhD in Physics from the University of Cambridge, UK, in 2012. He obtained a Master of Science degree in Physics in 2007 from Creighton University, Omaha, Nebraska, USA, where he teaches Nuclear Instruments and Methods, Quantum Mechanics, Physics of Radiation Therapy, Dosimetry and Radiation Protection, Biophysics as well as General Physics. He has supervised research and taught both graduates and undergraduates at Technical University, Dresden, Germany and Creighton University, USA. Dr Ekpenyong has authored/co-authored several articles in peer-reviewed journals in physics and medical physics. His research has ranged from the physics of cancer (a new frontier bordering on the mechanical properties of cancer cells and their role in cancer disease and metastasis) to the physics of radiation therapy.

Püsilink: https://www.kriso.ee/db/9781003215622_pe.html

Märksõnad:

E-raamat: Mathematical Physics for Nuclear Experiments [Taylor & Francis e-raamat]

Konto & seaded

Otsing

Otsingu andmebaas

Filtreeri tulemusi

Teemad Kirjastuste teemad

Vali ostukorv