Introduction to Quantum Mechanics with Applications to Chemistry
Автор: Schatz George C. Название: Quantum Mechanics in Chemistry ISBN: 0486420035 ISBN-13(EAN): 9780486420035 Издательство: Dover Рейтинг: Цена: 3344 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Intended for graduate and advanced undergraduate students, this text explores quantum mechanical techniques from the viewpoint of chemistry and materials science. Dynamics, symmetry, and formalism are emphasized. An initial review of basic concepts from introductory quantum mechanics is followed by chapters examining symmetry, rotations, and angular momentum addition. Chapter 4 introduces the basic formalism of time-dependent quantum mechanics, emphasizing time-dependent perturbation theory and Fermi s golden rule. Chapter 5 sees this formalism applied to the interaction of radiation and matter. In Chapter 6, the authors introduce occupation number representations, including applications to both quantized radiation fields and electronic structure; while chapters 7 and 8 focus on scattering theory and basic theories of chemical reaction rates. The remaining three chapters deal with the use of correlation functions and density matrices in quantum mechanics. Problems and a bibliography appear at the end of each chapter; and at the end of the book there is an Appendix C, "Solutions to Problems," new to this edition."
Описание: Geared toward research students in physics and chemistry, this text introduces the three main uses of group theory in quantum mechanics: (1) to label energy levels and the corresponding eigenstates; (2) to discuss qualitatively the splitting of energy levels, starting from an approximate Hamiltonian and adding correction terms; and (3) to aid in the evaluation of matrix elements of all kinds. "The theme," states author Volker Heine, "is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions." Early chapters cover symmetry transformations, the quantum theory of a free atom, and the representations of finite groups. Subsequent chapters address the structure and vibrations of molecules, solid state physics, nuclear physics, and relativistic quantum mechanics. A previous course in quantum theory is necessary, but the relevant matrix algebra appears in an appendix. A series of examples of varying levels of difficulty follows each chapter. They include simple drills related to preceding material as well as extensions of theory and further applications. The text is enhanced with 46 illustrations and 12 helpful appendixes.
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Описание: "A very useful addition to the chemical literature." -- Journal of the American Chemical Society. Designed to aid students and teachers in advanced physical chemistry, spectroscopy, or quantum chemistry courses, this carefully written book is unique in the variety of problems covered and the detail of the solutions provided. The book consists of 12 chapters, each of which includes a short introduction, followed by approximately 20 problems with detailed solutions. Also provided in each chapter are approximately 10 "supplementary" problems, with answers but no solutions. Chapter headings include: Atomic Physics and the Old Quantum Theory Waves and Superposition Postulates and Formalism of Quantum Mechanics Simple Exactly Soluble Problems in Wave Mechanics Angular Momentum Perturbation and Variation Theory Hydrogen-Like Atoms Electronic Structure of Atoms Electronic Structure of Molecules Radiation and Matter Molecular Spectroscopy Scattering Theory Assuming some facility with calculus, mechanics, and electricity and magnetism, the authors offer thorough and up-to-date coverage of both modern subject matter and standard topics. Interspersed among classic examples are lucid applications involving such topics as Fourier transforms, Poisson brackets, uncertainty, the virial theorem, van der Waals forces, lasers, tunneling, group theory, and the Born approximation. Students will also find 10 helpful appendixes covering a range of mathematical topics, a list of references cited in solutions to the problems, and a Subject Index. With its unique variety of problems, unusually detailed solutions, and wide range of applications, this book not only expounds the principles of quantum theory but also helps students develop the proper intuition for solving problems in a complex and subtle field of endeavor.
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