دانلود کتاب اولین دوره در مکانیک کوانتومی، نظریه غیرنسبیتی

This book is based on lectures given by the author for several years at Cairo university to undergraduate students studying for a pure and applied mathematics degree. The text is intended to be as clear, simple and systematic as possible. Topics and applications given here are treated mathematically with detail and rigor. The rigor here is observed not for the sake of rigor itself, but to make the fundamental, conceptual and physical ideas clearer and easier to grasp, comprehend and understand. Indexation and notations in this book, specially in chapter 8, are chosen attentively to make things easier to follow. Although they are supposed to be known by the reader, there are some preliminaries and definitions in both physics and mathematics on which the text relies, they are presented briefly in a condensed manner in the first chapter of this book for reference. Prerequisites needed to study this book are: First courses of Functional Analysis, Differential Equations, Mathematical Analysis, Linear Algebra, Statistics and Classical and Modern Physics. In chapter 2 a prelude of the historical development of quantum mechanics is summarized concisely to make the axioms of quantum mechanics plausible. The uninterested reader can skip this chapter and begin directly with the axioms of quantum mechanics in chapter 3. (Although Sections 2.5–2.7 are recommended to read.) In chapters 4 and 5 the one-dimensional motion and the motion in central fields are considered. In these two chapters, some standard applications are chosen to illustrate Schrödinger theory and the new physics predicted by it in these applications. More about the formal mathematical structure of quantum mechanics and more abstract and general formalism are given in chapters 8 and 9. Linear harmonic oscillator and the angular momentum (including spin and Pauli equation) are demonstrated in the new formalism in chapters 10 and 11. Chapter 12 is devoted to approximation methods and applications. In the last chapter a discussion of the concept of identity of particles in quantum mechanics, the symmetric and antisymmetric states and the different types of statistics are given. The author appreciates the useful discussions of the asymptotic behavior of the solutions of the associated Legendre equation with professors Mourad E. M. Ismail, university of Central Florida and Zainab S. I. Mansour, Cairo University. The author is grateful to A. Moursy, W. Abdallah and M. Ashry (A. As Sayed also took part in this in the beginning) for typing the text including the figures. W. Abdallah and M. Ashry precised some dates and numerical values of some constants in the text. Also, the author is grateful to W. Abdallah for making the book index.