Advanced Undergraduate Quantum Mechanics: Methods and Applications

Dedication.- Preface.- Part I Language and Formalism of Quantum Mechanics.- 1 Introduction.- 2 Quantum States.- 3 Observables and Operators.- 4 Unitary Operators and Quantum Dynamics.- 5 Representations of Vectors and Operators.- Part II Quantum Models.- 6 One-Dimensional Models.- 7 Harmonic Oscillator Models.- 8 Hydrogen Atom.- 9 Spin 1/2.- 10 Two-Level System in a Periodic External Field.- 11 Non-Interacting Many-Particle Systems.- Part III Quantum Phenomena and Methods.- 12 Resonant Tunneling.- 13 Peturbation Theory for Stationary States: Stark Effect and Polarization of Atoms.- 14 Fine Structure of the Hydrogen Spectra and Zeeman Effect.- 15 Emission and Absorption of Light.- 16 Free Electrons in Uniform Magnetic Field: Landau Levels and Quantum Hall Effect.- Index.