Lectures in Quantum Mechanics: A Two-Term Course

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Springer, Oct 26, 2015 - Science - 354 pages
Based on a series of university lectures on nonrelativistic quantum mechanics, this textbook covers a wide range of topics, from the birth of quantum mechanics to the fine-structure levels of heavy atoms. The author sets out from the crisis in classical physics and explores the seminal ideas of Einstein, Bohr, and de Broglie and their vital importance for the development of quantum mechanics. There follows a bottom-up presentation of the postulates of quantum mechanics through real experiments (such as those of neutron interferometry), with consideration of their most important consequences, including applications in the field of atomic physics. A final chapter is devoted to the paradoxes of quantum mechanics, and particularly those aspects that are still open and hotly debated, to end up with a mention to Bell's theorem and Aspect's experiments. In presenting the principles of quantum mechanics in an inductive way, this book has already proved very popular with students in its Italian language version.It complements the exercises and solutions book "Problems in Quantum Mechanics", by E. d'Emilio, L.E. Picasso (Springer).
 

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Contents

1 The Crisis of Classical Physics
1
2 From Einstein to de Broglie
15
3 Introduction to the Postulates of Quantum Mechanics
43
4 The Postulates of Quantum Mechanics
61
5 The Harmonic Oscillator
94
6 Representation Theory
101
7 Schrodinger Equation for OneDimensional Systems
133
8 OneDimensional Systems
149
12 Perturbations to Energy Levels
202
13 Electromagnetic Transitions
219
14 Introduction to Atomic Physics
247
15 Composite Systems Pauli Principle
266
16 ManyElectron Atoms
283
17 Elementary Theory of Scattering
315
18 The Paradoxes of Quantum Mechanics
337
Appendix Physical Constants
348

9 Time Evolution
161
10 Angular Momentum
175
11 Particle in a Central Force Field
187

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About the author (2015)

Luigi Picasso is Professor of Theoretical Physics at the University of Pisa, Italy. He currently teaches courses on Studies in Mathematics, Introduction to Quantum Mechanics, and Complements of Physics. Professor Picasso has numerous publications to his name and together with Emilio d’Emilio he co-authored the Springer book "Problems in Quantum Mechanics with Solutions" (2011).

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