LEADER 06200nam 22007695 450 001 9910254616103321 005 20200705130245.0 010 $a3-319-25675-0 024 7 $a10.1007/978-3-319-25675-7 035 $a(CKB)3710000000765449 035 $a(DE-He213)978-3-319-25675-7 035 $a(MiAaPQ)EBC6313113 035 $a(MiAaPQ)EBC5588331 035 $a(Au-PeEL)EBL5588331 035 $a(OCoLC)953187331 035 $a(PPN)194514498 035 $a(EXLCZ)993710000000765449 100 $a20160701d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Quantum Mechanics $eMaterials and Photons /$fby RAINER DICK 205 $a2nd ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIX, 692 p. 63 illus., 36 illus. in color.) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-319-25674-2 327 $aThe Need for Quantum Mechanics -- Self-adjoint Operators and Eigenfunction Expansions -- Simple Model Systems -- Notions from Linear Algebra and Bra-Ket Formalism -- Formal Developments -- Harmonic Oscillators and Coherent States -- Central Forces in Quantum Mechanics -- Spin and Addition of Angular Momentum Type Operators -- Stationary Perturbations in Quantum Mechanics -- Quantum Aspects of Materials I -- Scattering Off Potentials -- The Density of States -- Time-Dependent Perturbations in Quantum Mechanics -- Path Integrals in Quantum Mechanics -- Coupling to Electromagnetic Fields -- Principles of Lagrangian Field Theory -- Non-relativistic Quantum Field Theory -- Quantization of the Maxwell Field: Photons -- Quantum Aspects of Materials II -- Dimensional Effects in Low-dimensional Systems -- Relativistic Quantum Fields -- Applications of Spinor QED. 330 $aIn this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of tr ansition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes. Quantization is first discussed for the Schrödinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrödinger field theory is not only important for condensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of the Maxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chemistry, and materials science because it naturally separates the effects of Coulomb interactions, exchange interactions, and photon scattering. The appendices contain additional material that is usually not found in standard quantum mechanics textbooks, including a completeness proof for Eigen functions of one-dimensional Sturm-Liouville problems, logarithms of matrices, and Green?s functions in different dimensions. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aQuantum physics 606 $aQuantum optics 606 $aOptical materials 606 $aElectronic materials 606 $aNanoscale science 606 $aNanoscience 606 $aNanostructures 606 $aNanotechnology 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aQuantum Optics$3https://scigraph.springernature.com/ontologies/product-market-codes/P24050 606 $aOptical and Electronic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z12000 606 $aNanoscale Science and Technology$3https://scigraph.springernature.com/ontologies/product-market-codes/P25140 606 $aNanotechnology$3https://scigraph.springernature.com/ontologies/product-market-codes/Z14000 615 0$aQuantum physics. 615 0$aQuantum optics. 615 0$aOptical materials. 615 0$aElectronic materials. 615 0$aNanoscale science. 615 0$aNanoscience. 615 0$aNanostructures. 615 0$aNanotechnology. 615 14$aQuantum Physics. 615 24$aQuantum Optics. 615 24$aOptical and Electronic Materials. 615 24$aNanoscale Science and Technology. 615 24$aNanotechnology. 676 $a530.12 700 $aDICK$b RAINER$4aut$4http://id.loc.gov/vocabulary/relators/aut$0799821 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254616103321 996 $aAdvanced quantum mechanics$92037795 997 $aUNINA