Quantum Mechanics

A Mathematical Introduction
Erscheinungsjahr 2022
ISBN: 978-1-009-10050-2
Verlag: Cambridge University Press

Buch, Englisch, 398 Seiten, Format (B × H): 180 mm x 258 mm, Gewicht: 984 g

This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.

Autoren/Hrsg.

Larkoski, Andrew J.

Fachgebiete

• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

1. Introduction; 2. Linear Algebra; 3. Hilbert Space; 4. Axioms of Quantum Mechanics and Their Consequences; 5. Quantum Mechanical Example: The Infinite Square Well; 6. Quantum Mechanical Example: The Harmonic Oscillator; 7. Quantum Mechanical Example: The Free Particle; 8. Rotations in Three Dimensions; 9. The Hydrogen Atom; 10. Approximation Techniques; 11. The Path Integral; 12. The Density Matrix; 13. Why Quantum Mechanics?; Appendix A. Mathematics Review; Appendix B. Poisson Brackets in Classical Mechanics; Appendix C. Fundamental Constants and Units; Appendix D. Quantum Mechanics Jargon Glossary; Appendix E. Bibliography.

Über Autor(innen)

Larkoski, Andrew J.
Andrew J. Larkoski is Acting Assistant Professor at SLAC National Accelerator Laboratory. He earned his Ph.D. from Stanford University and has held research appointments at Massachusetts Institute of Technology and Harvard University, and he was also a Visiting Assistant Professor at Reed College. A leading expert on particle physics, he has published over fifty articles, and won the LHC Theory Initiative Fellowship and the Wu-Ki Tung Award for Early-Career Research on QCD. His previous textbook with Cambridge, Elementary Particle Physics: An Intuitive Introduction (2019), offers a modern and accessible introduction to the guiding principles of particle physics.