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Quantum Physics, 2 Volume Set

ISBN: 978-3-527-41057-6
1182 pages
December 2010
Quantum Physics, 2 Volume Set (3527410570) cover image
This two-volume set can be naturally divided into two semester courses, and contains a full modern graduate course in quantum physics. The idea is to teach graduate students how to practically use quantum physics and theory, presenting the fundamental knowledge, and gradually moving on to applications, including atomic, nuclear and solid state physics, as well as modern subfields, such as quantum chaos and quantum entanglement. The book starts with basic quantum problems, which do not require full quantum formalism but allow the student to gain the necessary experience and elements of quantum thinking. Only then does the fundamental Schrödinger equation appear. The author has included topics that are not usually covered in standard textbooks and has written the book in such a way that every topic contains varying layers of difficulty, so that the instructor can decide where to stop. Although supplementary sources are not required, "Further reading" is given for each chapter, including references to scientific journals and publications, and a glossary is also provided.
Problems and solutions are integrated throughout the text.
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Quantum Physics: Volume 1 - From Basics to Symmetries and Perturbations

Preface xiii

1 Origin of Main Quantum Concepts 1

2 Wave Function and the Simplest Problems 25

3 Bound States 43

4 Dynamical Variables 67

5 Uncertainty Relations 85

6 Hilbert Space and Operators 119

7 Quantum Dynamics 153

8 Discrete Symmetries 187

9 One-Dimensional Motion: Continuum 217

10 Variational Approach and Diagonalization 247

11 Discrete Spectrum and Harmonic Oscillator 267

12 Coherent and Squeezed States 293

13 Introducing Magnetic Field 315

14 Macroscopic Quantum Coherence 339

15 Semiclassical (WKB) Approximation 357

16 Angular Momentum and Spherical Functions 387

17 Motion in a Central Field 417

18 Hydrogen Atom 445

19 Stationary Perturbations 469

20 Spin 1/2 489

21 Finite Rotations and Tensor Operators 509

22 Angular Momentum Coupling 523

23 Fine and Hyperfine structure 545

24 Atom in a Static Field 567

References 587

Further Readings 591

Index 597

Quantum Physics: Volume 2 - From Time-Dependent Dynamics to Many-Body Physics and Quantum Chaos

Preface xiii

1 Nonstationary Perturbations 1

2 Periodic Perturbations 23

3 Scattering of Fast Charged Particles 47

4 Photons 63

5 Photoabsorption and Photoemission 87

6 Dispersion and the Scattering of Light 107

7 Basics of Quantum Scattering 129

8 Method of Partial Waves 153

9 More on Scattering 179

10 Reactions, Decays and Resonance 199

11 Towards Relativistic Quantum Mechanics 225

12 Dirac Equation: Formalism 249

13 Dirac Equation: Solutions 265

14 Discrete Symmetries, Neutrino and Kaons 285

15 Identical Particles 307

16 Isospin 331

17 Secondary Quantization 345

18 Atomic and Nuclear Configurations 363

19 Fermions 383

20 Collective Excitations 409

21 Bosons 433

22 Fermion Pairing and Superconductivity 453

23 Density Matrix 481

24 Quantum Chaos 505

25 Quantum Entanglement 535

References 551

Further Readings 555

Index 563

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Vladimir Zelevinsky is Professor at the Department of Physica and Astronomy and National Superconducting Cyclotron laboratory at Michigan State University, USA. He graduated from Moscow University and worked for many years at the Budker Institute of Nuclear Physics in Novosibirsk where he got his Candidate of Science and highest Doctor of Science degrees (equivalent to a PhD). In the eighties he was Head of Theory Division at the Budker Institute and Head of Theoretical Physics at Novosibirsk University. He spent three years as a visiting professor at the Niels Bohr Institute in Copenhagen. He is the author of over 200 scientific publications, co-editor of the EPL journal and Associate Editor of the Nuclear Physics journal. He has also received many awards as the best teacher at MSU.
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