| ? CONTENTS ?1 Review of basic quantum physics 1 ?2 Solutions to Schrdingers equation 21 ?3 Quantum statistics 37 ?4 Phonons 55 ?5 Electrons in solids 75 ?6 Semiconductors 95 ?7 Transitions 113 ?8 Field quantization 129 ?9 Entanglement 151 ?10 EPR and Bells theorem, and quantum algorithms 163 ?11 Quantum measurement 181 ?12 Cavity quantum physics 201 ?13 Symmetry and topology 225 ?14 Superfluid 4He 243 ?15 Superconductivity 261 ?16 Gaseous BoseEinstein condensates 285 ?17 Quantum Hall effects 303 ?18 Particle physics I 323 ?19 Particle physics II 351 ?A Appendix: Vector calculus 373 ?B Appendix: Mode densities 375 ?C Appendix: Density matrix 379 ?D Appendix: The Bloch sphere, spin-1/2, and qubits 381 ?E Appendix: Perturbation theory 385 ?F Appendix: RSA encryption 387 ?G Appendix: The Dirac equation 389 ?H Appendix: Higgs Lagrangian 395 ?I Appendix: Entangled beauty and CP violation 397 ?J Appendix: The GrossPitaevskii equation 401 ?K Appendix: Kubos Hall conductance formula 405 ? | ?