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1 What is this Book About? |
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1 | (10) |
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1.1 From Classical to Quantum Mechanics |
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2 | (3) |
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5 | (6) |
Part I: Introductory Topics |
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11 | (60) |
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2 Mathematical Background |
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13 | (19) |
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13 | (3) |
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16 | (4) |
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2.3 Vector and Scalar Quantities |
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20 | (5) |
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2.4 Elements of Probability Theory |
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25 | (7) |
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32 | (18) |
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32 | (3) |
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35 | (2) |
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3.3 Kinetic and Potential Energy |
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37 | (2) |
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3.4 Inelastic and Elastic Collisions |
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39 | (1) |
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39 | (5) |
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44 | (1) |
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3.7 Motion of an Electron in Electric and Magnetic Fields |
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45 | (5) |
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50 | (21) |
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50 | (7) |
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4.2 Young's Double-slit Experiment |
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57 | (4) |
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61 | (5) |
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66 | (5) |
Part II: Fundamentals Of Quantum Mechanics |
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71 | (128) |
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5 Fundamentals of Quantum Mechanics |
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73 | (8) |
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5.1 Quantization of Energy |
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73 | (1) |
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5.2 Wave-Particle Duality |
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74 | (1) |
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5.3 End of Certainty-Probabilistic Description |
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75 | (1) |
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5.4 Heisenberg Uncertainty Relations and Bohr's Principle of Complementarity |
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76 | (2) |
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5.5 Coherent Superposition and Quantum Entanglement |
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78 | (3) |
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6 Birth of Quantum Mechanics-Planck, Einstein, Bohr |
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81 | (19) |
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6.1 Brief History of Light |
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81 | (3) |
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6.2 Radiation Emitted by Heated Objects |
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84 | (4) |
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6.3 Einstein and the Photoelectric Effect |
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88 | (2) |
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6.4 History of the Atom till the Dawn of the Twentieth Century |
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90 | (2) |
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92 | (1) |
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6.6 The Hydrogen Spectrum |
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93 | (1) |
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6.7 Quantum Theory of the Atom: Bohr's Model |
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94 | (6) |
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7 De Broglie Waves: Are Electrons Waves or Particles? |
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100 | (21) |
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100 | (5) |
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7.2 Wave-Particle Duality-A Wavefunction Approach |
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105 | (3) |
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7.3 Bose-Einstein Condensation |
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108 | (2) |
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7.4 Heisenberg Microscope |
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110 | (4) |
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114 | (7) |
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8 Quantum Interference: Wave-Particle Duality |
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121 | (16) |
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8.1 Young's Double-slit Experiment for Electrons |
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121 | (6) |
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8.2 Einstein-Bohr Debate on Complementarity |
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127 | (3) |
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130 | (1) |
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131 | (6) |
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9 Simplest Quantum Devices: Polarizers and Beam Splitters |
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137 | (17) |
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9.1 Polarization of Light |
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137 | (5) |
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9.2 Malus' Law for a Single Photon-Dirac's ket-bra Notation |
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142 | (6) |
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9.3 Input-Output Relation for a Classical Beam Splitter |
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148 | (1) |
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9.4 Beam Splitter fora Single-photon State |
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149 | (1) |
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9.5 Polarization Beam Splitter and Pockel Cell |
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150 | (4) |
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10 Quantum Superposition and Entanglement |
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154 | (18) |
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10.1 Coherent Superposition of States |
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154 | (4) |
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10.2 Quantum Entanglement and the Bell Basis |
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158 | (4) |
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10.3 Schrodinger's Cat Paradox |
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162 | (2) |
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10.4 Quantum Teleportation |
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164 | (3) |
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10.5 Entanglement Swapping |
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167 | (5) |
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11 No-cloning Theorem and Quantum Copying |
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172 | (10) |
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11.1 Cloning and Superluminal Communication |
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172 | (3) |
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175 | (1) |
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176 | (6) |
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182 | (17) |
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182 | (1) |
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12.2 The Einstein-Podolsky-Rosen (EPR) Paradox |
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183 | (3) |
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186 | (1) |
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187 | (3) |
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12.5 Quantum Mechanical Prediction |
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190 | (2) |
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12.6 Experiments to Test Bell's Inequality |
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192 | (1) |
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12.7 Bell-CHSH Inequality |
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193 | (6) |
Part III: Quantum Communication |
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199 | (28) |
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13 Quantum Secure Communication |
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201 | (16) |
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202 | (1) |
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13.2 Public Key Distribution, RSA |
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203 | (4) |
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13.3 Bennett-Brassard 84 (BB-84) Protocol |
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207 | (4) |
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13.4 Bennett-92 (B-92) Protocol |
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211 | (3) |
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214 | (3) |
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14 Optical Communication with Invisible Photons |
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217 | (10) |
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14.1 Mach-Zehnder Interferometer |
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218 | (2) |
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14.2 Interaction-free Measurement |
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220 | (1) |
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14.3 An Array of N Mach-Zehnder Interferometers |
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221 | (2) |
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14.4 Counterfactual Communication |
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223 | (4) |
Part IV: Quantum Computing |
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227 | (36) |
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229 | (16) |
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15.1 Introduction to Quantum Computing |
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229 | (4) |
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233 | (4) |
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237 | (3) |
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15.4 Quantum Teleportation Revisited |
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240 | (1) |
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15.5 Quantum Dense Coding |
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241 | (4) |
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245 | (18) |
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245 | (3) |
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16.2 Discrete Quantum Fourier Transform |
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248 | (3) |
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251 | (3) |
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254 | (3) |
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16.5 Searching an Unsorted Database |
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257 | (6) |
Part V: The Schrodinger Equation |
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263 | (26) |
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17 The Schrodinger Equation |
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265 | (24) |
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17.1 The Schrodinger Equation in One Dimension |
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265 | (5) |
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17.2 Kinematics in Classical and Quantum Mechanics-Newton vs. Schrodinger |
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270 | (5) |
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17.3 Particle Inside a Box |
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275 | (3) |
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17.4 Tunneling Through a Barrier |
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278 | (5) |
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17.5 The Schrodinger Equation in Three Dimensions and the Hydrogen Atom |
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283 | (6) |
Index |
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289 | |