Muutke küpsiste eelistusi

Mathematical Physics for Nuclear Experiments [Kõva köide]

  • Formaat: Hardback, 258 pages, kõrgus x laius: 234x156 mm, kaal: 453 g, 37 Line drawings, black and white; 1 Halftones, black and white; 38 Illustrations, black and white
  • Ilmumisaeg: 21-Jan-2022
  • Kirjastus: CRC Press
  • ISBN-10: 0367768526
  • ISBN-13: 9780367768522
Teised raamatud teemal:
Mathematical Physics for Nuclear ExperimentsSuurem pilt
  • Formaat: Hardback, 258 pages, kõrgus x laius: 234x156 mm, kaal: 453 g, 37 Line drawings, black and white; 1 Halftones, black and white; 38 Illustrations, black and white
  • Ilmumisaeg: 21-Jan-2022
  • Kirjastus: CRC Press
  • ISBN-10: 0367768526
  • ISBN-13: 9780367768522
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780367768522.html
Märksõnad:

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. 



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 xv
Acknowledgements xvii
Symbols xix
Chapter 1 Radioactivity and Decay Law
1(60)
1.1 The Radioactive Decay Law
1(6)
1.2 Radioactive Decay Chain
7(8)
1.2.1 The Bateman Equations
10(1)
1.2.1.1 The System of Differential Equations
10(1)
1.2.1.2 Laplace Transformations
10(1)
1.2.1.3 Inverse Laplace Transformations or Partial Fractions
11(4)
1.3 Transient And Secular Equilibria
15(6)
1.3.1 Transient Equilibrium Applications
18(2)
1.3.2 Matrix Exponential and Other Methods for Bateman Equations
20(1)
1.4 Radioactive Decay Energy Calculations
21(4)
1.5 Mathematical Elements Of Alpha Decay
25(6)
1.5.1 Basics of Alpha Decay
25(5)
1.5.2 Geiger-Nuttall Law
30(1)
1.6 Mathematical Aspects Of Beta Decay
31(12)
1.6.1 Beta Decay Equations and Spectra
31(3)
1.6.2 Continuous Beta Spectrum and Neutrinos
34(1)
1.6.3 Transition Rate and Fermi-Kurie Plots
35(8)
1.7 Mathematical Physics Of Gamma Decay
43(12)
1.7.1 Isomeric: Transition Energetics and Multipole Selection Rules
43(2)
1.7.1.1 Parity, Spin and Angular Momentum in Multipole Selection Rules
45(3)
1.7.2 Internal Conversion Coefficients
48(3)
1.7.3 Electron Capture versus Isomeric Transition
51(1)
1.7.4 Auger Electrons
52(1)
1.7.5 Coincidences and Angular Correlations
53(2)
1.8 Spontaneous Fission
55(1)
1.9 Answers
56(5)
Chapter 2 Probability and Statistics for Nuclear Experimental Data
61(50)
2.1 Probability Distributions And Their Characteristics
61(5)
2.1.1 Cumulative Distribution
62(1)
2.1.2 Expectation Values, Mean, Variance and Covariance
63(3)
2.2 Binomial Distribution
66(3)
2.3 Poisson Distribution
69(9)
2.4 Gaussian Or Normal Distribution
78(4)
2.5 Maxwellian Distribution
82(1)
2.6 Chi-Square Distribution
82(4)
2.7 Exponential Distribution
86(1)
2.8 Landau and Other Distributions
87(3)
2.9 Determination And Tests Of Probability Distributions
90(7)
2.9.1 Estimation of Mean, Variance and Covariance from Samples
90(2)
2.9.2 Using Relative Frequency for Sample Mean and Variance
92(1)
2.9.3 Chi-Square Test and other Statistical Tests on Experimental Data
93(4)
2.10 Uncertainties: Calculation And Expression
97(3)
2.10.1 Accuracy and Precision, Error and Uncertainty
97(2)
2.10.2 Statistical and Systematic Uncertainties
99(1)
2.10.2.1 Statistical or Random Uncertainties
99(1)
2.10.2.2 Systematic Uncertainties
99(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.