Springer International Publishing AG, part of Springer Nature, 2018. — 391 p. — (UNITEXT for Physics) — ISBN 3319713299.This book presents the basic elements of theoretical physics in a highly accessible, captivating way for university students in the third year of a degree in physics. It covers analytical mechanics, thermodynamics and statistical physics, special and general relativity and non-relativistic quantum theory, fully developing the necessary mathematical methods beyond standard calculus. The central theme is scientific curiosity and the main focus is on the experimental meaning of all quantities and equations. Several recent verifications of General Relativity are presented, with emphasis on the physical effects - why they were predicted to exist and what signals they were seen to produce. Similarly, the basic reasons why superconductors have zero resistance and are perfect diamagnets are pinpointed. Quantum Eraser Experiments and Delayed Choice Experiments are described. Many statements of Quantum Theory are a challenge to common sense and some crucial predictions have often been considered hard to believe and have been tested experimentally. The book examines the EPR paradox, Bell states and teleportation.To show the beauty and richness of the subject, various topics from different areas of Physics are covered. These include: discrete quantum models and lattices (periodic and not), Casimir effect, Anyons, Fano Resonances, the Hanbury Brown and Twiss effect, the Aharonov-Bohm effect, the Meitner-Auger effect, Squeezed Light, the Rabi model, neutrino oscillations, aspects of Quantum Transport, Quantum Pumping, and Berry phases, black holes and cosmological problems. Contents Theoretical Physics and Mathematics Classical Physics-Complements Analytical Mechanics Dirac’s Delta Some Consequences of Maxwell’s Equations Thermal Physics Special Relativity Curvilinear Coordinates and Curved Spaces Gravity Quantum Mechanics The Wave Function The Eigenvalue Equation and the Evolution Operator Particle in One Dimension The Postulates of Quantum Mechanics: Postulate 1 Postulate 2 Postulate 3 Postulate The Quantum Harmonic Oscillator Stationary States of One Particle in 3 Dimensions Spin and Magnetic Field Systems of Particles Perturbation Theory Variational Principle for Schrödinger–Pauli Theory Discrete Models Pancharatnam Phase and Berry Phase Fano Resonances Quantum Statistical Mechanics Quantum Transport and Quantum Pumping Entanglement, Its Challenges and Its Applications
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