CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS (5版)

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書名：CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS 5/E(IE) 作者：THORNTON 出版社：Cengage 出版日期：2007/11/00 ISBN：9780495556107 目錄 1. Matrices, Vectors, and Vector Calculus. 2. Newtonian Mechanics--Single Particle. 3. Oscillations. 4. Nonlinear Oscillations and Chaos. 5. Gravitation. 6. Some Methods in the Calculus of Variations. 7. Hamilton''s Principle--Lagrangian and Hamiltonian Dynamics. 8. Central-Force Motion. 9. Dynamics of a System of Particles. 10. Motion in a Noninertial Reference Frame. 11. Dynamics of Rigid Bodies. 12. Coupled Oscillations. 13. Continuous Systems: Waves. 14. Special Theory of Relativity. Appendices. Selected References. Bibliography. Answers to Even-Numbered Problems.

Classical Mechanics (3版)

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書名：Classical Mechanics 3/E PNIE 作者：Goldstein 出版社：Pearson 出版日期：2014/00/00 ISBN：9781292026558 目錄 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange's Equations. 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. 6. Oscillations. 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. 11. Classical Chaos. 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes.

Spacetime and Geometry: An Introduction to General Relativity (1版)

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書名：Spacetime and Geometry: An Introduction to General Relativity 作者：Carroll 出版社：Cambridge 出版日期：2019/09/00 ISBN：9781108488396

Geometry of Quantum States

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Quantum information theory is at the frontiers of physics, mathematics and information science, offering a variety of solutions that are impossible using classical theory. This book provides an introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. After a gentle introduction to the necessary mathematics the authors describe the geometry of quantum state spaces. Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. The final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. This richly-illustrated book is useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

The General Theory of Relativity

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The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.

Einstein's General Theory of Relativity

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Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

★LECTURES OF SIDNEY COLEMAN ON QUANTUM FIELD THEORY

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書名：Quantum Field Theory: Lectures of Sidney Coleman 作者：KAISER 出版社：World Scientific 出版日期：2019/01/31 ISBN：9789814635509