Luca Salasnich - Böcker

Quantum Many-Body Physics: A Path Integral Approach offers a fresh perspective on quantum phenomena in condensed matter physics. This comprehensive book provides a powerful and versatile framework for understanding complex problems in systems such as ultracold atoms, superfluids, and superconductors.The text begins with a solid foundation in canonical quantum field theory before progressing to advanced topics, ensuring readers develop both deep conceptual understanding and practical skills.Features include:Concise yet thorough coverage of path integral methodsPractical applications to real-world quantum systemsProblem-solving techniques that bridge theory and experimentDesigned for graduate students in physics and related disciplines, this book serves as an essential resource for those aiming to advance their studies in quantum mechanics. Researchers in condensed matter physics, quantum optics, and quantum information will also find valuable insights to support their work on the next breakthroughs in the field.

In chapter seven, there are several important application of quantum mechanics: the quantum particle in a box, the quantum particle in the harmonic potential, the quantum tunneling, the stationary perturbation theory, and the time-dependent perturbation theory.

Chapter Six covers applications of quantum mechanics, including the quantum particle in a box, quantum particle in harmonic potential, quantum tunneling, stationary perturbation theory, and time-dependent perturbation theory.

The fifth chapter offers a more specific discussion of quantum coherence in ultracold atoms and their potential as a platform for quantum metrology and quantum emulation.

Questo libro offre un'introduzione alla meccanica statistica, alla relatività ristretta e alla fisica quantistica, sviluppata a partire dagli appunti del corso di "Fisica Quantistica" presso l'Università di Padova. Iniziando con una breve panoramica della meccanica statistica classica nel primo capitolo, il libro esplora la relatività ristretta e generale nel secondo capitolo. Il terzo capitolo approfondisce l'analisi storica della quantizzazione della luce, mentre il quarto capitolo discute la quantizzazione dei livelli energetici e delle transizioni elettromagnetiche di Niels Bohr. L'equazione di Schrödinger viene analizzata nel quinto capitolo. Il sesto capitolo tratta le applicazioni della meccanica quantistica, tra cui la particella quantistica in una scatola, la particella quantistica in potenziale armonico, l'effetto tunnel quantistico, la teoria delle perturbazioni stazionarie e la teoria delle perturbazioni dipendenti dal tempo. Il settimo capitolo delinea gli assiomi fondamentali della meccanica quantistica. Il capitolo ottavo si concentra sulla fisica atomica quantistica, enfatizzando lo spin dell'elettrone e utilizzando l'equazione di Dirac per la giustificazione teorica. Il nono capitolo spiega i principi della meccanica quantistica per particelle identiche a temperatura zero, mentre il capitolo dieci estende la discussione alle particelle quantistiche a temperatura finita. Il capitolo undicesimo fornisce approfondimenti sull'informazione quantistica e sull'entanglement, e il dodicesimo capitolo spiega l'approccio dell'integrale di cammino alla meccanica quantistica.

The book gives an introduction to the field quantization (second quantization) of light and matter with applications to atomic physics. The first chapter briefly reviews the origins of special relativity and quantum mechanics and the basic notions of quantum information theory and quantum statistical mechanics. The second chapter is devoted to the second quantization of the electromagnetic field, while the third chapter shows the consequences of the light field quantization in the description of electromagnetic transitions. In the fourth chapter it is analyzed the spin of the electron, and in particular its derivation from the Dirac equation, while the fifth chapter investigates the effects of external electric and magnetic fields on the atomic spectra (Stark and Zeeman effects). The sixth chapter describes the properties of systems composed by many interacting identical particles by introducing the Hartree-Fock variational method, the density functional theory and the Born-Oppenheimerapproximation. Finally, in the seventh chapter it is explained the second quantization of the non-relativistic matter field, i.e. the Schrodinger field, which gives a powerful tool for the investigation of many-body problems and also atomic quantum optics. At the end of each chapter there are several solved problems which can help the students to put into practice the things they learned.

This compact but exhaustive textbook, now in its significantly revised and expanded second edition, provides an essential introduction to the field quantization of light and matter with applications to atomic physics and strongly correlated systems. Following an initial review of the origins of special relativity and quantum mechanics, individual chapters are devoted to the second quantization of the electromagnetic field and the consequences of light field quantization for the description of electromagnetic transitions. The spin of the electron is then analyzed, with particular attention to its derivation from the Dirac equation. Subsequent topics include the effects of external electric and magnetic fields on the atomic spectra and the properties of systems composed of many interacting identical particles. The book also provides a detailed explanation of the second quantization of the non-relativistic matter field, i.e., the Schrödinger field, which offers a powerful tool for theinvestigation of many-body problems, and of atomic quantum optics and entanglement. Finally, two new chapters introduce the finite-temperature functional integration of bosonic and fermionic fields for the study of macroscopic quantum phenomena: superfluidity and superconductivity. Several solved problems are included at the end of each chapter, helping readers put into practice all that they have learned.