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<p><b>8 Solutions to the Exercises of Chapter VIII (Complement C_VIII, § 3). An Elementary Approach to the Quantum Theory of Scattering by a Potential 1</b></p> <p>8.1 Scattering of the <i>p</i> Wave by a Hard Sphere 1</p> <p>8.2 “Square Spherical Well”: Bound States and Scattering Resonances 6</p> <p><b>9 Solutions to the Exercises of Chapter IX (Complement B_IX). Electron Spin 21</b></p> <p>9.1 Spin-Related Measurements of a Particle of Spin 1/2 21</p> <p>9.2 An Operator Coupling Momentum P and Spin S 26</p> <p>9.3 The Pauli Hamiltonian 29</p> <p>9.4 Polarization of a Neutron Beam by Reflection 31</p> <p><b>10 Solutions to the Exercises of Chapter X (Complement G_X). Addition of Angular Momenta 43</b></p> <p>10.1 The Deuterium Atom 43</p> <p>10.2 The Hydrogen Atom 45</p> <p>10.3 Two-Particle System 49</p> <p>10.4 Disintegration of a Particle 52</p> <p>10.5 Three-Particle System 56</p> <p>10.6 Two-Particle System and Collision 59</p> <p>10.7 Standard Components of a Vector Operator 71</p> <p>10.8 Irreducible Tensor Operators; Wigner–Eckart Theorem 79</p> <p>10.9 Irreducible Tensor Operators (Follow-up Exercise) 90</p> <p>10.10 Addition of Three Angular Momenta 95</p> <p>References 103</p> <p><b>11 Solutions to the Exercises of Chapter XI (Complement H_XI). Stationary Perturbation Theory 105</b></p> <p>11.1 Punctual Perturbation in an Infinite One-Dimensional Well 105</p> <p>11.2 Localized Perturbation in an Infinite Two-Dimensional Well 110</p> <p>11.3 Perturbations in a Two-Dimensional Harmonic Oscillator 114</p> <p>11.4 Perturbed Circular Motion of a Quantum System 127</p> <p>11.5 Three-Dimensional Perturbation 136</p> <p>11.6 One Electronic and Two Nuclear Spins, Spin-Spin Interactions 143</p> <p>11.7 Interaction Between a Nuclear Spin and an Electric Field via its Electric Quadrupole and Magnetic Dipole Moments 152</p> <p>11.8 Linear Perturbation Within an Infinite One-Dimensional Well and Variational Method 163</p> <p>11.9 The Hydrogen Atom and the Variational Method 171</p> <p>11.10 Determination of the Energies of a Particle in an Infinite One-Dimensional Well Using the Variational Method 173</p> <p><b>12 Solutions to the Exercises of Chapter XII. An Application of Perturbation Theory: The Fine and Hyperfine Structure of Hydrogen 183</b></p> <p><b>13 Solutions to the Exercises of Chapter XIII. Approximation Methods for Time-Dependent Problems 185</b></p> <p><b>Part I: Solutions to the Exercises of Complement B_XIII .Linear and Nonlinear Responses of a Two-Level System Subjected to a Sinusoidal Perturbation 185</b></p> <p>13.1 Competition Between Pumping and Relaxation in a Two-Level System 185</p> <p>13.2 Nonlinear Response of a Two-Level System Subjected to a Sinusoidal Perturbation 189</p> <p><b>Part II: Solutions to the Exercises of Complement F_XIII 198</b></p> <p>13.1 One-Dimensional Harmonic Oscillator Subjected to an Electric Field Pulse 198</p> <p>13.2 Spin–Spin Interactions During a Collision 205</p> <p>13.3 Two-Photon Transitions Between Non-equidistant Levels 211</p> <p>13.4 Magnetic Response of a System Placed in an Oscillating Magnetic Field 216</p> <p>13.5 The Autler–Townes Effect 220</p> <p>13.6 Elastic Scattering by a Particle in a Bound State. Form Factor 229</p> <p>13.7 A Simple Model of the Photoelectric Effect 234</p> <p>13.8 Disorientation of an Atomic Level due to Collisions with Noble Gas Atoms 239</p> <p>13.9 Transition Probability per Unit Time Under the Effect of a Random Perturbation. Simple Relaxation Model 245</p> <p>13.10 Absorption of Radiation by a Many-Particle System Forming a Bound State. The Doppler Effect. Recoil Energy. The Mössbauer Effect 252</p> <p>References 270</p> <p><b>14 Solutions to the Exercises of Chapter XIV (Complement D_XIV). Systems of Identical Particles 271</b></p> <p>14.1 Energy Levels of a System of Three Identical Particles 271</p> <p>14.2 Two Identical Bosons in a Central Potential 275</p> <p>14.3 Identical Electrons in Hybrid Atomic Orbitals 278</p> <p>14.4 Collision Between Two Identical Particles 282</p> <p>14.5 Collision Between Two Identical Unpolarized Particles 289</p> <p>14.6 Possible Values of the Relative Angular Momentum of Two Identical Particles 292</p> <p>14.7 Position Probability Densities for a System of Two Identical Particles 302</p> <p>14.8 Symmetrization and Measurements 311</p> <p>14.9 One- and Two-Particle Density Functions in an Electron Gas at Absolute Zero 321</p> <p>Bibliography 339</p>

<p><i><b>Guillaume Merle, PhD,</b> is Professor of Engineering Science, Engineering Thermodynamics, and Quantum Physics at Beihang Sino-French Engineer School, Beihang University, Beijing, China.</i> <p><i><b>Oliver J. Harper, PhD,</b> is Professor of Physics at Lycée Saint Lambert, Paris, France, where he teaches Physics and Chemistry courses in the Preparatory Classes for the French “Grandes Écoles.”</i>

<p><b>Provides detailed solutions to all 47 problems in the seminal textbook <i>Quantum Mechanics, Volume II</i></b> <p>With its counter-intuitive premises and its radical variations from classical mechanics or electrodynamics, quantum mechanics is among the most important and challenging components of a modern physics education. Students tackling quantum mechanics curricula generally practice by working through increasingly difficult problem sets that demand both a theoretical grounding and a solid understanding of mathematical technique. <p><i>Solution Manual to Accompany Volume II of Quantum Mechanics by Cohen-Tannoudji, Diu and Laloë </i>is designed to help you grasp the fundamentals of quantum mechanics by <i>doing.</i> This essential set of solutions provides explicit explanations of every step, focusing on the physical theory and formal mathematics needed to solve problems with varying degrees of difficulty. <ul><li>Contains in-depth explanations of problems concerning quantum mechanics postulates, mathematical tools, approximation methods, and more</li><li>Covers topics including perturbation theory, addition of angular momenta, electron spin, systems of identical particles, time-dependent problems, and quantum scattering theory</li><li>Guides readers on transferring the solution approaches to comparable problems in quantum mechanics</li><li>Includes numerous figures that demonstrate key steps and clarify key concepts</li></ul> <p><i>Solution Manual to Accompany Volume II of Quantum Mechanics by Cohen-Tannoudji, Diu and </i>Laloë is a must-have for students in physics, chemistry, or the materials sciences wanting to master these challenging problems, as well as for instructors looking for pedagogical approaches to the subject.

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