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Problem Solving in Theoretical Physics


Problem Solving in Theoretical Physics


1. Aufl.

von: Yury M. Belousov, Serguei N. Burmistrov, Alexei I. Ternov

93,99 €

Verlag: Wiley-VCH
Format: PDF
Veröffentl.: 06.07.2020
ISBN/EAN: 9783527828913
Sprache: englisch
Anzahl Seiten: 528

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Beschreibungen

"Problem Solving in Theoretical Physics" helps students mastering their theoretical physics courses by posing advanced problems and providing their solutions - along with discussions of their physical significance and possibilities for generalization and transfer to other fields.
<p>Preface to the English Edition ix</p> <p>Preface ix</p> <p>About the Companion Website xiii</p> <p><b>Part I Problems </b><b>1</b></p> <p><b>1 Field Theory </b><b>3</b></p> <p>Introduction 3</p> <p>1.1 Vectors and tensors in Euclidean space 27</p> <p>1.2 Vectors and tensors in Minkowski space 29</p> <p>1.3 Relativistic kinematics 29</p> <p>1.4 The Maxwell equations 33</p> <p>1.5 The motion of a charged particle in an external field 36</p> <p>1.6 Static electromagnetic field 38</p> <p>1.7 Free electromagnetic field 39</p> <p>1.8 The retarded potentials and radiation 39</p> <p>1.9 Electromagnetic field of relativistic particles 42</p> <p>1.10 The scattering of electromagnetic waves 43</p> <p><b>2 Quantum Mechanics </b><b>45</b></p> <p>Introduction 45</p> <p>2.1 Operators and states in quantum mechanics 64</p> <p>2.2 One-dimensional motion 65</p> <p>2.3 Linear harmonic oscillator 68</p> <p>2.4 Angular momentum and spin 69</p> <p>2.5 Motion in a magnetic field 71</p> <p>2.6 Motion in a centrally symmetric field 72</p> <p>2.7 Semiclassical approximation 73</p> <p>2.8 Perturbation theory 74</p> <p>2.9 Relativistic quantum mechanics 76</p> <p>2.10 Addition of angular momenta. The identity of particles 77</p> <p>2.11 Theory of atoms and molecules 78</p> <p>2.12 Theory of scattering 80</p> <p>2.13 Theory of radiation 81</p> <p><b>3 Statistical Physics </b><b>83</b></p> <p>Introduction 83</p> <p>3.1 The Gibbs distribution: thermodynamic quantities and functions 112</p> <p>3.2 Ideal quantum gases 116</p> <p>3.2.1 The ideal Fermi gas 116</p> <p>3.2.2 The ideal Bose gas 118</p> <p>3.2.3 Ideal gases of elementary Bose excitations 119</p> <p>3.3 Non-ideal quantum systems (liquids): the fundamentals of condensed matter theory 121</p> <p>3.3.1 Normal (nonsuperfluid) Fermi liquids 121</p> <p>3.3.2 Superconductivity and the BCS theory 122</p> <p>3.3.3 Weakly interacting Bose gases and the Gross-Pitaevskii equation 124</p> <p>3.3.4 Theory of superfluidity 125</p> <p>3.4 Phase transitions and critical phenomena 126</p> <p>3.4.1 The mean-field approximation 126</p> <p>3.4.2 The Ginzburg-Landau functional 127</p> <p>3.4.3 Fundamentals of the theory of critical phenomena 130</p> <p><b>Part II Solutions of Problems </b><b>133</b></p> <p><b>1 Field Theory </b><b>135</b></p> <p>1.1 Vectors and tensors in Euclidean space 135</p> <p>1.2 Vectors and tensors in Minkowski space 138</p> <p>1.3 Relativistic kinematics 138</p> <p>1.4 The Maxwell equations 163</p> <p>1.5 Motion of a charged particle in an external field 168</p> <p>1.6 Static electromagnetic field 185</p> <p>1.7 Free electromagnetic field 194</p> <p>1.8 The retarded potentials and radiation 196</p> <p>1.9 Electromagnetic field of relativistic particles 213</p> <p>1.10 The scattering of electromagnetic waves 224</p> <p><b>2 Quantum Mechanics </b><b>235</b></p> <p>2.1 Operators and states in quantum mechanics 235</p> <p>2.2 One-dimensional motion 239</p> <p>2.3 Linear harmonic oscillator 257</p> <p>2.4 Angular momentum and spin 259</p> <p>2.5 Motion in a magnetic field 264</p> <p>2.6 Motion in a centrally symmetric field 273</p> <p>2.7 Semiclassical approximation 282</p> <p>2.8 Perturbation theory 286</p> <p>2.9 Relativistic quantum mechanics 298</p> <p>2.10 Addition of angular momenta. The identity of particles 310</p> <p>2.11 Theory of atoms and molecules 316</p> <p>2.12 Theory of scattering 332</p> <p>2.13 Theory of radiation 345</p> <p><b>3 Statistical Physics </b><b>353</b></p> <p>3.1 The Gibbs distribution: the thermodynamic quantities and functions 353</p> <p>3.2 Ideal quantum gases 380</p> <p>3.2.1 The ideal Fermi gas 380</p> <p>3.2.2 The ideal Bose gas 401</p> <p>3.2.3 Ideal gases of elementary Bose excitations 412</p> <p>3.3 Non-ideal quantum systems (liquids): the fundamentals of condensed matter theory 416</p> <p>3.3.1 Normal (nonsuperfluid) Fermi liquids 416</p> <p>3.3.2 Superconductivity and the BCS theory 425</p> <p>3.3.3 Weakly interacting Bose gases and the Gross-Pitaevskii equation 432</p> <p>3.3.4 Theory of superfluidity 441</p> <p>3.4 Phase transitions and critical phenomena 447</p> <p>3.4.1 The mean-field approximation 447</p> <p>3.4.2 The Ginzburg–Landau functional 452</p> <p>3.4.3 Fundamentals of the theory of critical phenomena 471</p> <p>Appendices 487</p> <p>Bibliography 493</p> <p>Index 497</p>
<p><b>Yury M. Belousov</b> is Researcher and Lecturer at the Moscow Institute of Physics and Technology, Dolgoprudny, Russia.</p> <p><b>Serguei N. Burmistrov</b> is Researcher and Lecturer at the Russian Research Center "Kurchatov Institute", Moscow, Russia.</p> <p><b>Alexei I. Ternov</b> is Researcher and Lecturer at the Moscow Institute of Physics and Technology, Dolgoprudny, Russia.</p>

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