A Mathematical Primer on Quantum Mechanics

Explains theory through detailed mathematical analysis of simple but relevant solvable models

Proposes numerous exercises to stimulate interactive learning

Offers the necessary background for those embarking on advanced courses on mathematical methods in quantum mechanics

Autorentext

Alessandro Teta is an Associate Professor in the Department of Mathematics G. Castelnuovo, University of Rome "La Sapienza", Rome, Italy. He graduated in Physics from the University of Napoli in 1985 and then completed a PhD in Mathematical Physics at S.I.S.S.A. Trieste. In 1992 he was appointed Researcher in Mathematical Physics at University of Roma "La Sapienza" and in 1999 became Associate Professor in Mathematical Physics at Universita' di L'Aquila. In 2013 he completed his Habilitation to full professor in Mathematical Physics. Dr. Teta's research interests include the effective behavior of inhomogeneous media and mathematical problems in quantum mechanics: scattering theory, spectral analysis, Schroedinger operators with zero-range interactions, nonlinear Schroedinger equations, effective equations for systems of infinite quantum particles, the classical limit, decoherence, and models of cloud chamber. Dr. Teta is a member of the International Association of Mathematical Physics and the International Research Center on Mathematics and Mechanics of Complex Systems. He has presented numerous invited talks at conferences in Italy and across Europe.

Inhalt

Preface.- 1. Brief Review of Hamiltonian Mechanics and Electromagnetism.- 2. From Planck's Hypothesis to Bohr's Atom.- 3. Schrodinger Equation.- 4. Linear Operators in Hilbert Spaces.- 5. Rules of Quantum Mechanics.- 6. Free Particle.- 7. Harmonic Oscillator.- 8. Point Interaction.- 9. Hydrogen Atom.- 10. The Cloud Chamber Problem.- References.- Index.