Elements of Statistical Mechanics with an Introduction to Quantum Field Theory & Numerical Simulation 2006

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書名: Elements of Statistical Mechanics with an Introduction to Quantum Field Theory & Numerical Simulation 2006 (CAM.)0-521-84198-4 作者: I.SACHS 版次: 1 出版日期: 2006年1月 ISBN: 9780521841986 出版社: cambridge

A Computational Introduction to Quantum Physics (1版)

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【簡介】 This concise textbook introduces an innovative computational approach to quantum mechanics. Over the course of this engaging and informal book, students are encouraged to take an active role in learning key concepts by working through practical exercises. The book equips readers with some basic methodology and a toolbox of scientific computing methods, so they can use code to simulate and directly visualize how quantum particles behave. The important foundational elements of the wave function and the Schrödinger equation are first introduced, then the text gradually builds up to advanced topics including relativistic, open, and non-Hermitian quantum physics. This book assumes familiarity with basic mathematics and numerical methods, and can be used to support a two-semester advanced undergraduate course. Source code and solutions for every book exercise involving numerical implementation are provided in Python and MATLAB(R), along with supplementary data. Additional problems are provided online for instructor use with locked solutions.

Introduction to Quantum Mechanics

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【簡介】 This book provides a lucid introduction to the basic ideas of quantum mechanics. Meant for undergraduate and graduate physics students, it contains discussions on advanced topics that will be beneficial for researchers also. The text is designed according to the syllabi followed in major Indian universities. Chapters are designed to provide an equal emphasis to physical as well as mathematical significance of concepts. The text is divided in four parts. The first part introduces concepts of formalism and includes topics, namely wave-particle duality, state vectors, and symmetry. The second part comprises discussions on exactly solvable problems. This is followed by the third part which deals with various approximation techniques including degenerate and non-degenerate perturbation theory, WKB approximation, and Born approximation. The fourth part of this book deals with advanced topics like permutation symmetry, Dirac particle in a central potential, and EPR paradox. 【目錄】 Preface Part I. Formalism: 1. Uncertainty 2. State vectors 3. Quantum dynamics 4. Time evolution of quantum systems 5. Symmetry Part II. Exact Solutions: 6. The free particle 7. Exactly solvable problems in one dimension 8. Angular momentum 9. Exactly solvable problems in three dimensions 10. Particles in magnetic fields Part III. Approximations: 11. Approximation methods 12. Time-dependent problems 13. Scattering theory Part IV. Advanced Topics: 14. Identical particles 15. Relativistic corrections 16. Interpretation of quantum mechanics 17. Miscellaneous topics Part V. Appendices: A. Delta function B. Solution of second-order differential equations C. Special functions D. Further properties of special functions E. Saddle-point method Index.