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1000 Solved Problems in Modern Physics

:	Ahmad A. Kamal
:	1000 Solved Problems in Modern Physics
:	Springer-Verlag
:	9783642043338
:	1
:	CHF 123.10
:

:	Atomphysik, Kernphysik
:	English

:	634
:	DRM
:	PC/MAC/eReader/Tablet
:	PDF

This book is targeted mainly to the undergraduate students of USA, UK and other European countries, and the M. Sc of Asian countries, but will be found useful for the graduate students, Graduate Record Examination (GRE), Teachers and Tutors. This is a by-product of lectures given at the Osmania University, University of Ottawa and University of Tebrez over several years, and is intended to assist the students in their assignments and examinations. The book covers a wide spectrum of disciplines in Modern Physics, and is mainly based on the actual examination papers of UK and the Indian Universities. The selected problems display a large variety and conform to syllabi which are currently being used in various countries. The book is divided into ten chapters. Each chapter begins with basic concepts containing a set of formulae and explanatory notes for quick reference, followed by a number of problems and their detailed solutions. The problems are judiciously selected and are arranged section-wise. The so- tions are neither pedantic nor terse. The approach is straight forward and step-- step solutions are elaborately provided. More importantly the relevant formulas used for solving the problems can be located in the beginning of each chapter. There are approximately 150 line diagrams for illustration. Basic quantum mechanics, elementary calculus, vector calculus and Algebra are the pre-requisites.

The author obtained his Doctoral degree from University of Bristol, U.K. under the supervision of Emeritus Professor Dr.D.H. Perkins, FRS. The author has worked in high-energy physics for a number of years using photographic emulsions exposed at CERN. He has also used low-energy facilities at Nuclear Science Center at New Delhi. He was a postdoctoral fellow at the University of Ottawa, visitor to CERN, visiting professor at the University of Tebrez. He has published 40 research papers in International Journals and gave lectures on Nuclear physics, particle physics, quantum mechanics, classical mechanics, mathematical physics, atomic and molecular physics and relativity at undergraduate and graduate levels at various universities for several years. He was a Professor and Head of the Department of Physics and Chairman, Board of studies at the Osmania University.

	Preface	6
	Contents	9
	1 Mathematical Physics	15
	1.1 Basic Concepts and Formulae	15
	1.2 Problems	35
	1.2.1 Vector Calculus	35
	1.2.2 Fourier Series and Fourier Transforms	36
	1.2.3 Gamma and Beta Functions	37
	1.2.4 Matrix Algebra	38
	1.2.5 Maxima and Minima	38
	1.2.6 Series	39
	1.2.7 Integration	39
	1.2.8 Ordinary Differential Equations	40
	1.2.9 Laplace Transforms	43
	1.2.10 Special Functions	43
	1.2.11 Complex Variables	44
	1.2.12 Calculus of Variation	45
	1.2.13 Statistical Distributions	46
	1.2.14 Numerical Integration	47
	1.3 Solutions	47
	1.3.1 Vector Calculus	47
	1.3.2 Fourier Series and Fourier Transforms	53
	1.3.3 Gamma and Beta Functions	56
	1.3.4 Matrix Algebra	58
	1.3.5 Maxima and Minima	62
	1.3.6 Series	63
	1.3.7 Integration	65
	1.3.8 Ordinary Differential Equations	71
	1.3.9 Laplace Transforms	81
	1.3.10 Special Functions	82
	1.3.11 Complex Variables	86
	1.3.12 Calculus of Variation	88
	1.3.13 Statistical Distribution	91
	1.3.14 Numerical Integration	99
	2 Quantum Mechanics -- I	101
	2.1 Basic Concepts and Formulae	101
	2.2 Problems	106
	2.2.1 de Broglie Waves	106
	2.2.2 Hydrogen Atom	106
	2.2.3 X-rays	109
	2.2.4 Spin and µ Quantum Numbers -- Stern--Gerlah's Experiment	110
	2.2.5 Spectroscopy	111
	2.2.6 Molecules	113
	2.2.7 Commutators	114
	2.2.8 Uncertainty Principle	115
	2.3 Solutions	115
	2.3.1 de Broglie Waves	115
	2.3.2 Hydrogen Atom	117
	2.3.3 X-rays	122
	2.3.4 Spin and µ Quantum Numbers -- Stern--Gerlah's Experiment	125
	2.3.5 Spectroscopy	129
	2.3.6 Molecules	134
	2.3.7 Commutators	137
	2.3.8 Uncertainty Principle	142
	3 Quantum Mechanics -- II	145
	3.1 Basic Concepts and Formulae	145
	3.2 Problems	151
	3.2.1 Wave Function	151
	3.2.2 Schrodinger Equation	152
	3.2.3 Potential Wells and Barriers	154
	3.2.4 Simple Harmonic Oscillator	160
	3.2.5 Hydrogen Atom	161
	3.2.6 Angular Momentum	163
	3.2.7 Approximate Methods	166
	3.2.8 Scattering (Phase-Shift Analysis)	167
	3.2.9 Scattering (Born Approximation)	168
	3.3 Solutions	170
	3.3.1 Wave Function	170
	3.3.2 Schrodinger Equation	176
	3.3.3 Potential Wells and Barriers	182
	3.3.4 Simple Harmonic Oscillator	213
	3.3.5 Hydrogen Atom	223
	3.3.6 Angular Momentum	229
	3.3.7 Approximate Methods	243
	3.3.8 Scattering (Phase Shift Analysis)	247
	3.3.9 Scattering (Born Approximation)	254
	4 Thermodynamics and Statistical Physics	261
	4.1 Basic Concepts and Formulae	261
	4.2 Problems	265
	4.2.1 Kinetic Theory of Gases	265
	4.2.2 Maxwell's Thermodynamic Relations	267
	4.2.3 Statistical Distributions	269
	4.2.4 Blackbody Radiation	270
	4.3 Solutions	272
	4.3.1 Kinetic Theory of Gases	272
	4.3.2 Maxwell's Thermodynamic Relations	280
	4.3.3 Statistical Distributions	293
	4.3.4 Blackbody Radiation	299
	5 Solid State Physics	305
	5.1 Basic Concepts and Formulae	305
	5.2 Problems	308
	5.2.1 Crystal Structure	308
	5.2.2 Crystal Properties	308
	5.2.3 Metals	309
	5.2.4 Semiconductors	311
	5.2.5 Superconductor	312
	5.3 Solutions	313
	5.3.1 Crystal Structure	313
	5.3.2 Crystal Properties	315
	5.3.3 Metals	317
	5.3.4 Semiconductors	323
	5.3.5 Superconductor	325
	6 Special Theory of Relativity	327
	6.1 Basic Concepts and Formulae	327
	6.2 Problems	333
	6.2.1 Lorentz Transformations	333
	6.2.2 Length, Time, Velocity	334
	6.2.3 Mass, Momentum, Energy	337
	6.2.4 Invariance Principle	340
	6.2.5 Transformation of Angles and Doppler Effect	342
	6.2.6 Threshold of Particle Production	344
	6.3 Solutions	346
	6.3.1 Lorentz Transformations	346
	6.3.2 Length, Time, Velocity	352
	6.3.3 Mass, Momentum, Energy	356
	6.3.4 Invariance Principle	365
	6.3.5 Transformation of Angles and Doppler Effect	369
	6.3.6 Threshold of Particle Product