Buch, Englisch, 352 Seiten, Format (B × H): 155 mm x 235 mm
ISBN: 978-3-032-38522-2
Verlag: Springer
Following John Bell’s heartfelt request for a realism-based, intuitively understandable, and application orientated quantum mechanics textbook in his 1990 article Against ‘Measurement’, this textbook is designed to teach the basic physics required to understand much of modern science and technology, including atoms, molecules, semiconductors, transistors and integrated circuits, lasers, light-emitting diodes, solar cells, all areas of chemistry, and molecular biology.
Presented from a realist standpoint that treats the wavefunction as a physical field, the concepts in this paradox-free textbook coincide with those in quantum field theory. With only advanced-placement calculus as a prerequisite, this textbook will be a valuable support for quantum mechanics courses aimed at freshman and sophomore STEM students.
A comprehensive Solutions Manual, containing detailed solutions to all end-of-chapter problems and additional worked examples, is available electronically to instructors.Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
Chapter 1. A Review of Classical Physics. Newtonian mechanics. Angular momentum. The energy integral. Sound waves. Maxwell’s equations. Electromagnetic waves. Polarization. Elements of special relativity, the Lorentz transformation, and relativistic mechanics.- Chapter 2. Fields and Their Quanta. Einstein’s theory of photelectric effect. Millikan’s oil-drop experiment. De Broglie waves. Compton effect. Stern-Gerlach experiment. Electrostatic mass and the classic radius of an electron. Black-body radiation formula, especially Einstein’s derivation.- Chapter 3. The Static Schrödinger Equation. Heuristic derivation. Wavefunctions in a potential well. Dirac’s bra and ket notations. Harmonic oscillator. Hydrogen atom. General properties of wavefunctions. Degeneracy and hybridization. Quantization of bosons.- Chapter 4. Many-Electron Systems. Heuristic derivation of the many-electron Schrödinger Equation. Spin and its similarity to polarization of light. Slater determinants. Hartree-Fock method. Atomic base functions. The periodic table of elements. Electronic state configurations in atoms. Density-functional theory. Quantization of Fermions.- Chapter 5. The Chemical Bond. Perturbation theory. Molecular orbitals as linear combinations of atomic orbitals. Hydrogen molecular ion. Chemical bonds for many electron atoms. HOMO and LUMO. Chemical bonds in molecular biology.- Chapter 6. Static Perturbation Theory. Static perturbation theory for non-degenerate systems. Polarization of hydrogen atoms. The van del Waals force in hydrogen molecular ion. Static perturbation theory for degenerate systems.- Chapter 7. The Dynamic Schrödinger Equation. Heuristic derivation of the real dynamic Schrödinger equation. Use of complex variables. Gauge invariance. Reduction to the static Schrödinger equation. The Ehrenfest theorem.- Chapter 8. Angular momentum. The complex linear algebra in quantum mechanics. Algebraic theory of angular momentum. Pauli’s algebraic solution to hydrogen atom problem.- Chapter 9. Dynamic Perturbation Theory. Interaction of atomic systems and electromagnetic waves. The Golden Rule. Bardeen’s tunneling theory.- Chapter 10. Solid-state Physics and Semiconductor Devices. Bloch waves and band theory. Conductors, insulators, and semiconductors. Direct and indirect band gaps. Electrons and holes. Effective mass. junctions. Semiconductor devices.- Chapter 11. Elementary Quantum Electrodynamics. Quantization of electromagnetic waves. Interaction of radiation with atomic systems. Einstein’s coefficients.- Chapter 12. Dirac Equation and Pauli Equation. The Dirac equation and the Dirac matrices. The solutions of Dirac equation in free space. Non-relativistic approximation. Pauli equation in a magnetic field. The Stern-Gerlach experiment.
