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Quantum Mechanics for Beginners: With Applications to Quantum Communication and Quantum Computing [Kõva köide]

(University Distinguished Professor and Munnerlyn-Heep Chair in Quantum Optics, Department of Physics & Astronomy, Texas A&M University)
  • Formaat: Hardback, 304 pages, kõrgus x laius x paksus: 255x195x25 mm, kaal: 810 g, 89 two-color and 50 grayscale line figures, 3 color half-tones
  • Ilmumisaeg: 07-May-2020
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198854226
  • ISBN-13: 9780198854227
  • Formaat: Hardback, 304 pages, kõrgus x laius x paksus: 255x195x25 mm, kaal: 810 g, 89 two-color and 50 grayscale line figures, 3 color half-tones
  • Ilmumisaeg: 07-May-2020
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198854226
  • ISBN-13: 9780198854227
Quantum mechanics is a highly successful yet mysterious theory. Quantum Mechanics for Beginners provides an accessible introduction to this fascinating subject for those with only a high school background in physics and mathematics. This book is entirely algebra-based, except for the last chapter on the Schrodinger equation. A major advantage of this book is that it provides an introduction to the fields of quantum communication and quantum computing.

Topics covered include wave-particle duality, Heisenberg uncertainty relation, Bohr's principle of complementarity, quantum superposition and entanglement, Schrodinger's cat, Einstein-Podolsky-Rosen paradox, Bell theorem, quantum no-cloning theorem and quantum copying, quantum eraser and delayed choice, quantum teleportation, quantum key distribution protocols such as BB-84 and B-92, counterfactual communication, quantum money, quantum Fourier transform, quantum computing protocols including Shor and Grover algorithms, quantum dense coding, and quantum tunneling. All these topics and more are explained fully, but using only elementary mathematics. Each chapter is followed by exercises and a short list of references.

This book is meant for beginning college students as well as advanced high school students, and can be used as a text for a one-semester course at the undergraduate level. It can also be useful for those who want to learn some of the fascinating recent and ongoing developments in areas related to the foundations of quantum mechanics and its applications to areas like quantum communication and quantum computing.

Arvustused

The real attraction of Zubairy's book, which I think makes it unique, is the immensely readable introduction to the modern applications of quantum mechanics that derive from entanglement, such as quantum communication and computing, action at a distance, quantum encryption, Bell inequalities and all that. For someone, who has been used to employ quantum mechanics as the standard tool for the time-honored applications mentioned above, this is a wonderful book to update his or her understandings of these developments, which have pushed the foundations and the mystery of quantum mechanics again to the forefront of physics research. The book reminds one a lot of Feynman's approach to teaching quantum mechanics to undergraduates. It will make all these recent developments accessible to first-year students. It may persuade many a young student to personally partake in this exciting field of research. * Wilhelm Becker, Max Born Institute Berlin * The objectives of this book are two-fold. On one hand, the foundation of quantum mechanics and the laws of quantum theory are discussed. On the other hand, novel applications of these ideas to modern and evolving fields of quantum communication and quantum computing are presented, with as little mathematics as possible. The target audience is clearly undergraduate students in physics. But anyone curious about contemporary subjects in quantum physics (cryptography, teleportation, computing) will profit from reading this book. * Christian Brosseau, Optics and Photonics News * The illustrations and brief explanations are wonderfully easy to think about, and compact and accurate. A freshman student might not actually "learn" QM from taking a course based on this book, but he/she would be excellently prepared to go into it in a serious way at the next level, without distortions or mistaken impressions conveyed by a weaker text. The book is a true success. * Center for Coherence and Quantum Optics, University of Rochester *

1 What is this Book About?
1(10)
1.1 From Classical to Quantum Mechanics
2(3)
1.2 Outline of the Book
5(6)
Part I: Introductory Topics 11(60)
2 Mathematical Background
13(19)
2.1 Complex Numbers
13(3)
2.2 Trigonometry
16(4)
2.3 Vector and Scalar Quantities
20(5)
2.4 Elements of Probability Theory
25(7)
3 Particle Dynamics
32(18)
3.1 Classical Trajectory
32(3)
3.2 Linear Momentum
35(2)
3.3 Kinetic and Potential Energy
37(2)
3.4 Inelastic and Elastic Collisions
39(1)
3.5 Angular Motion
39(5)
3.6 Angular Momentum
44(1)
3.7 Motion of an Electron in Electric and Magnetic Fields
45(5)
4 Wave Theory
50(21)
4.1 Wave Motion
50(7)
4.2 Young's Double-slit Experiment
57(4)
4.3 Diffraction
61(5)
4.4 Rayleigh Criterion
66(5)
Part II: Fundamentals Of Quantum Mechanics 71(128)
5 Fundamentals of Quantum Mechanics
73(8)
5.1 Quantization of Energy
73(1)
5.2 Wave-Particle Duality
74(1)
5.3 End of Certainty-Probabilistic Description
75(1)
5.4 Heisenberg Uncertainty Relations and Bohr's Principle of Complementarity
76(2)
5.5 Coherent Superposition and Quantum Entanglement
78(3)
6 Birth of Quantum Mechanics-Planck, Einstein, Bohr
81(19)
6.1 Brief History of Light
81(3)
6.2 Radiation Emitted by Heated Objects
84(4)
6.3 Einstein and the Photoelectric Effect
88(2)
6.4 History of the Atom till the Dawn of the Twentieth Century
90(2)
6.5 The Rutherford Atom
92(1)
6.6 The Hydrogen Spectrum
93(1)
6.7 Quantum Theory of the Atom: Bohr's Model
94(6)
7 De Broglie Waves: Are Electrons Waves or Particles?
100(21)
7.1 De Broglie waves
100(5)
7.2 Wave-Particle Duality-A Wavefunction Approach
105(3)
7.3 Bose-Einstein Condensation
108(2)
7.4 Heisenberg Microscope
110(4)
7.5 Compton Scattering
114(7)
8 Quantum Interference: Wave-Particle Duality
121(16)
8.1 Young's Double-slit Experiment for Electrons
121(6)
8.2 Einstein-Bohr Debate on Complementarity
127(3)
8.3 Delayed Choice
130(1)
8.4 Quantum Eraser
131(6)
9 Simplest Quantum Devices: Polarizers and Beam Splitters
137(17)
9.1 Polarization of Light
137(5)
9.2 Malus' Law for a Single Photon-Dirac's ket-bra Notation
142(6)
9.3 Input-Output Relation for a Classical Beam Splitter
148(1)
9.4 Beam Splitter fora Single-photon State
149(1)
9.5 Polarization Beam Splitter and Pockel Cell
150(4)
10 Quantum Superposition and Entanglement
154(18)
10.1 Coherent Superposition of States
154(4)
10.2 Quantum Entanglement and the Bell Basis
158(4)
10.3 Schrodinger's Cat Paradox
162(2)
10.4 Quantum Teleportation
164(3)
10.5 Entanglement Swapping
167(5)
11 No-cloning Theorem and Quantum Copying
172(10)
11.1 Cloning and Superluminal Communication
172(3)
11.2 No-cloning Theorem
175(1)
11.3 Quantum Copier
176(6)
12 EPR and Bell Theorem
182(17)
12.1 Hidden Variables
182(1)
12.2 The Einstein-Podolsky-Rosen (EPR) Paradox
183(3)
12.3 Bohr's Reply
186(1)
12.4 Bell's Inequality
187(3)
12.5 Quantum Mechanical Prediction
190(2)
12.6 Experiments to Test Bell's Inequality
192(1)
12.7 Bell-CHSH Inequality
193(6)
Part III: Quantum Communication 199(28)
13 Quantum Secure Communication
201(16)
13.1 Binary Numbers
202(1)
13.2 Public Key Distribution, RSA
203(4)
13.3 Bennett-Brassard 84 (BB-84) Protocol
207(4)
13.4 Bennett-92 (B-92) Protocol
211(3)
13.5 Quantum Money
214(3)
14 Optical Communication with Invisible Photons
217(10)
14.1 Mach-Zehnder Interferometer
218(2)
14.2 Interaction-free Measurement
220(1)
14.3 An Array of N Mach-Zehnder Interferometers
221(2)
14.4 Counterfactual Communication
223(4)
Part IV: Quantum Computing 227(36)
15 Quantum Computing I
229(16)
15.1 Introduction to Quantum Computing
229(4)
15.2 Quantum Logic Gates
233(4)
15.3 The Deutsch Problem
237(3)
15.4 Quantum Teleportation Revisited
240(1)
15.5 Quantum Dense Coding
241(4)
16 Quantum Computing II
245(18)
16.1 How to Factorize N?
245(3)
16.2 Discrete Quantum Fourier Transform
248(3)
16.3 Shor's Algorithm
251(3)
16.4 Quantum Shell Game
254(3)
16.5 Searching an Unsorted Database
257(6)
Part V: The Schrodinger Equation 263(26)
17 The Schrodinger Equation
265(24)
17.1 The Schrodinger Equation in One Dimension
265(5)
17.2 Kinematics in Classical and Quantum Mechanics-Newton vs. Schrodinger
270(5)
17.3 Particle Inside a Box
275(3)
17.4 Tunneling Through a Barrier
278(5)
17.5 The Schrodinger Equation in Three Dimensions and the Hydrogen Atom
283(6)
Index 289
Prof. Zubairy is a University Distinguished Professor and the holder of the Munnerlyn-Heep Chair in Quantum Optics at Texas A&M University. He has made many pioneering contributions in the fields of quantum optics and quantum information. He is co-author (with Marlan Scully) of a classic textbook on Quantum Optics. Prof. Zubairy has received many honors including the Willis E. Lamb Award for Laser Science and Quantum Optics, Alexander von Humboldt Research Prize for Distinguished Scientists, and the George H. W. Bush Award for Excellence in International Research. He is Fellow of Pakistan Academy of Sciences, American Physical Society, and Optical Society of America.