Quantum Mechanics: A Mathematical Introduction

Author:   Andrew J. Larkoski (SLAC National Accelerator Laboratory)
Publisher:   Cambridge University Press
ISBN:  

9781009100502


Pages:   398
Publication Date:   15 December 2022
Format:   Hardback
Availability:   In stock   Availability explained
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Quantum Mechanics: A Mathematical Introduction


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Full Product Details

Author:   Andrew J. Larkoski (SLAC National Accelerator Laboratory)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 18.30cm , Height: 2.30cm , Length: 26.10cm
Weight:   0.980kg
ISBN:  

9781009100502


ISBN 10:   1009100505
Pages:   398
Publication Date:   15 December 2022
Audience:   General/trade ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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.

Reviews

'This book is a refreshing and innovative addition to quantum mechanics teaching. It will help students build strong mathematical skills to rely on when studying this novel subject. Larkoski demystifies the subject and provides instructors with new ways to cover even the most canonical examples in quantum mechanics. I think it will also be a very useful companion for students learning quantum field theory.' Seyda Ipek, Carleton University, Ottawa 'Larkoski's book uses an original and innovative approach to introduce (and develop intuition about) the mathematics leading to the axioms of quantum mechanics. Overall, a refreshing introduction to quantum mechanics.' Jean-Sebastien Gagnon, Norwich University, Vermont 'Dr Larkoski starts with a gentle introduction to linear algebra and the Dirac - von Neumann axioms of quantum mechanics. Throughout he stresses the role of the scientific method in which measurable states and observables evolve and predictions of this evolution become tests of the model hypothesis. Dr Larkoski strives to keep differential equations to a minimum by exploiting symmetries and conservation laws through Lie algebra and group properties. Students see standard one-dimensional examples typically encountered in an undergraduate course. The 3D hydrogen Hamiltonian is diagonalized interestingly using angular momentum and Laplace - Runge - Lenz operators. Advanced topics are introduced including perturbation theory, WKB approximation, path integrals, the density matrix, and entanglement.' Russell Herman, University of North Carolina, Wilmington 'Quantum Mechanics by Larkoski is a much-needed update to undergraduate quantum mechanics teaching, and a good introduction to the way physicists think about and use quantum mechanics. Indispensable tools of modern research like the density matrix, s-matrix and Lie algebras are introduced and applied to the analysis of pedagogical systems, elucidating their meaning and functionality. The book is also well written and generally easy to follow, with appropriately placed examples.' Varun Makhija, University of Mary, Washington


'This book is a refreshing and innovative addition to quantum mechanics teaching. It will help students build strong mathematical skills to rely on when studying this novel subject. Larkoski demystifies the subject and provides instructors with new ways to cover even the most canonical examples in quantum mechanics. I think it will also be a very useful companion for students learning quantum field theory.' Seyda Ipek, Carleton University, Ottawa 'Larkoski's book uses an original and innovative approach to introduce (and develop intuition about) the mathematics leading to the axioms of quantum mechanics. Overall, a refreshing introduction to quantum mechanics.' Jean-Sebastien Gagnon, Norwich University, Vermont 'Dr Larkoski starts with a gentle introduction to linear algebra and the Dirac – von Neumann axioms of quantum mechanics. Throughout he stresses the role of the scientific method in which measurable states and observables evolve and predictions of this evolution become tests of the model hypothesis. Dr Larkoski strives to keep differential equations to a minimum by exploiting symmetries and conservation laws through Lie algebra and group properties. Students see standard one-dimensional examples typically encountered in an undergraduate course. The 3D hydrogen Hamiltonian is diagonalized interestingly using angular momentum and Laplace – Runge – Lenz operators. Advanced topics are introduced including perturbation theory, WKB approximation, path integrals, the density matrix, and entanglement.' Russell Herman, University of North Carolina, Wilmington 'Quantum Mechanics by Larkoski is a much-needed update to undergraduate quantum mechanics teaching, and a good introduction to the way physicists think about and use quantum mechanics. Indispensable tools of modern research like the density matrix, s-matrix and Lie algebras are introduced and applied to the analysis of pedagogical systems, elucidating their meaning and functionality. The book is also well written and generally easy to follow, with appropriately placed examples.' Varun Makhija, University of Mary, Washington


Author Information

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.

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