MATHEMATICAL ANALYSIS OF PHYSICAL PROBLEMS

其他會員也一起購買

商品描述 Intended for the advanced undergraduate or beginning graduate student, this lucid work links classical and modern physics through common techniques and concepts and acquaints the reader with a variety of mathematical tools physicists use to describe and comprehend the physical universe. For the physicist, mathematics is a language, or shorthand, for constructing workable models (necessarily approximate and incomplete) of aspects of physical reality. The present text, by a noted professor of physics at McGill University, Montreal, deals in an exceptionally well-organized way with some of the crucial mathematical tools used to construct such models. Contents include: I: The Vibrating String; II. Linear Vector Spaces; III. The Potential Equation; IV: Fourier and Laplace Transforms and Their Applications; V. Propagation and Scattering of Waves; VI. Problems of Diffusion and Attenuation; VII. Probability and Stochastic Processes; VIII. Fundamental Principles of Quantum Mechanics; IX. Some Soluble Problems of Quantum Mechanics; X. Quantum Mechanics of Many-body Problems. A special helpful feature of this volume is a Prelude to each chapter, which outlines the topics with which the chapter deals. In addition to providing a guide to the organization of its contents, it indicates the mathematical background assumed and calls attention to those methods and concepts which have an application in different physical problems. Relevant test problems are interspersed throughout the text to test the student's grasp of the material, while brief bibliographies at the chapter ends suggest further reading. Ideal as a primary or supplementary text, Mathematical Analysis of Physical Problems will reward any reader seeking a firmer grasp of the mathematical procedures by which physicists unlock the secrets of the universe.

Relativisric Quantum Mechanics 2/e 2005 (SV) 3-540-25502-8 (2版)

其他會員也一起購買

(特價299)Relativisric Quantum Mechanics 2/e 2005 (SV) 3-540-25502-8 2 H.M.PILKUHNM 9783540255024

A Course of Modern Analysis (5版)

其他會員也一起購買

A Course of Modern Analysis ISBN13：9781316518939 出版社：Cambridge University Press 作者：E. T. Whittaker;G. N. Watson 裝訂／頁數：精裝／700頁 版次：5 出版日：2021/07/31

PRINCIPLES OF QUANTUM MECHANICS (2版)

相關熱銷的書籍推薦給您

【原文書】 書名：Principles of Quantum Mechanics 2/e 作者:R. Shankar 出版社：Kluwer Academic Plenum Publishers ISBN：9780306447907 About this Textbook Reviews from the First Edition: "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner." (American Scientist) "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of." (Physics Bulletin) Reviews of the Second Edition: "This massive text of 700 and odd pages has indeed an excellent get-up, is very verbal and expressive, and has extensively worked out calculational details---all just right for a first course. The style is conversational, more like a corridor talk or lecture notes, though arranged as a text. … It would be particularly useful to beginning students and those in allied areas like quantum chemistry." (Mathematical Reviews) R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

ELEMENTS OF DISCRETE MATHEMATICS (2版)

相關熱銷的書籍推薦給您

書名：Elements of Discrete Mathematics 2/e 作者：LIU 出版社：McGraw-Hill 出版日期：1985/00/00 ISBN：9780071005449 內容簡介 This book presents a selection of topics from set theory, combinatorics, graph theory, and algebra which were been considered as basic and useful to students in Applied Mathematics, Computer Seience, and Engineering. It's intended to be a textbook for a course in Discrete Mathematics at the sophomore-junior level, although it can also be used in a freshman-level course since the presentation does not assume any background beyond high-school mathematics. 目錄 1. Sets and Propositions 2. Computability and Formal Languages 3. Permutations, Combinations, and Discrete Probability 4. Relations and Functions 5. Graphs and Planar Graphs 6. Trees and Cut-Sets 7. Finite State Machines 8. Analysis of Algorithms 9. Discrete Numberic Functions and Generating Functions 10. Recurrence Relations and Recursive Algorithms 11. Groups and Rings 12. Boolean Algebras

The Mathematics of Open Quantum Systems

類似書籍推薦給您

This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory. In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest symmetric operator solutions to the Heisenberg uncertainty relations, the problem posed by Jørgensen and Muhly, followed by the proof of the uniqueness theorems for the simplest solutions to the restricted Weyl commutation relations. The detailed study of unitary invariants of the corresponding dissipative and symmetric operators opens up a look at the classical Stone-von Neumann uniqueness theorem from a new angle and provides an extended version of the uniqueness result relating various realizations of a differentiation operator on the corresponding metric graphs. The second part of the book is devoted to mathematical problems of the quantum measurements under continuous monitoring. Among the topics discussed are the complementarity of the Quantum Zeno effect and Exponential Decay scenario in frequent quantum measurements, and a rigorous treatment, within continuous monitoring paradigm, of the celebrated "double-slit experiment" where the renowned exclusive and interference measurement alternatives approach in quantum theory is presented in a way that is accessible for mathematicians. One of the striking applications of the generalized (1-stable) central limit theorem is the mathematical evidence of exponential decay of unstable states of the quantum pendulum under continuous monitoring. Sample Chapter(s) Preface Chapter 1: INTRODUCTION Contents: Acknowledgments Preface Representations of Operator Commutation Relations: Introduction Preliminaries and Basic Definitions The Commutation Relations and Character-Automorphic Functions The Differentiation Operator on Metric Graphs The Magnetic Hamiltonian The Livšic Function s(Ḋ,DΘ)(z) The Weyl-Titchmarsh Function M(Ḋ,DΘ)(z) The Model Dissipative Operators The Characteristic Function S(Ḋ,Ḓ,DΘ)(z) The Transmission Coefficient and the Characteristic Function Uniqueness Results Dissipative Solutions to the CCR Main Results Unitary Dynamics on the Full Graph Continuous Monitoring, Quantum Measurements: Continuous Monitoring of the Quantum Systems The Quantum Zeno versus Anti-zeno Effect Alternative The Quantum Zeno Effect versus Exponential Decay Alternative Preliminaries: Probabilities versus Amplitudes Massless Particles on a Ring Continuous Monitoring with Interference Continuous Monitoring with No Interference The Self-adjoint Dilation General Open Quantum Systems on a Ring Operator Coupling Limit Theorems Appendices: The Characteristic Function for Rank-One Perturbations Prime Symmetric Operators A Functional Model of a Triple The Spectral Analysis of the Model Dissipative Operator Transformation Laws The Invariance Principle The Operator Coupling and the Multiplication Theorem Stable Laws References Index Readership: Graduates and Researchers interested in mathematical physics, operator theory, quantum physics.