Quantum Mechanics (theoretical physics)

Quantum mechanics is one of the foundations of modern physics and, at the same time, one of the most challenging theories to assimilate. This volume offers a coherent, rigorous and progressive path, aimed at university students interested in understanding both the conceptual and the applied aspects. From the experimental evidence to the complete mathematical formulation, the text develops the exposition by balancing formal rigour and physical intuition. Particular attention is devoted to active learning: more than 200 proposed and solved exercises are included, accompanied by numerous worked examples.

The topics cover the crisis of classical physics and the fundamental experiments, the postulates of quantum mechanics and the Born rule, the Schrödinger equation and the dynamics of systems, states and observables with the uncertainty principle, one-dimensional systems and the tunneling effect, the harmonic oscillator, angular momentum and spin with the composition rules, the hydrogen atom with fine structure and the Zeeman effect, the density matrix and decoherence, entanglement and the foundations of quantum information, perturbation theory, symmetries and the main approximation methods such as the variational method and WKB.