Elementary Quantum Mechanics: With Problems and Solutions (1版)

類似書籍推薦給您

【簡介】 The impact of quantum mechanics on our day-to-day life is growing at an exponential rate, of which most people are unaware. For example, the toaster is a prime example of a quantum mechanical device. While quantum mechanics arose as a subject in physics, quantum mechanical thinking has had, and continues to have, a broad impact on mathematics. For example, operator theory as we know it today would not exist without von Neumann’s effort to put quantum mechanics on a solid mathematical foundation. This book is defined for undergraduate students of mathematics to obtain an introduction to quantum mechanical ideas, and the associated mathematics, without requiring an extensive background in physics.This book is focused around the following topics. 1) The Mathematical Structure of Quantum Mechanics. We develop the main mathematical structure of quantum theory in the setting of the accepted postulates of quantum mechanics. Dirac’s bra-ket notation for the required linear algebra aspects will be utilized, as well as the mathematical and physical implications arising from the mathematical aspects of self-adjoint linear operators, with emphasis on the finite dimensional setting. 2) Dynamics of a Quantum Particle. We introduce the Schrodinger equation and discuss its physical meaning and mathematical structure. The required partial differential equations theory is elementary, and will be developed from scratch. 3) Measurement, Time Evolution, Uncertainty, and the Harmonic Oscillator. This builds on the previously developed mathematics and culminates with a detailed discussion of the quantum mechanical workhorse example - the harmonic oscillator. 4) Quantum Mechanics of Angular Momentum. Most of the book is developed in the context of the (relatively) simple one dimensional quantum systems. This topic goes into three dimensions and illustrates how very interesting mathematics can yield novel physical explanations that are unobtainable with classical methods. 5) The Postulates of Quantum Mechanics, Measurement, Composite Systems, Tensor Products, and Entanglement. This is the area that most students have heard of - quantum entanglement, ＂action-at-a- distance＂ and Bell’s inequality. The mathematics will be at an elementary level (except possibly for tensor products, which are sadly neglected many linear algebra courses today, but which are literally exploding in a variety of current applications).

English Pronunciation in Use Elementary with Answers (1版)

類似書籍推薦給您

【簡介】 含解答版 　　◎ 此系列分三個級數，是專為初階到高階的使用者設計的發音書籍。 　　◎ 整合性的發音練習設計，讓使用者從單字、片語和句子中練習完美發音。 　　◎ 每單元兩頁，左頁解說，右頁練習的設計，上課自修兩相宜。 　　Understand and be understood in English with the best-selling English Pronunciation in Use. 　　50 easy-to-use units cover all aspects of pronunciation, including individual sounds, word stress, connected speech and intonation. An additional reference section offers a glossary of specialized terms, help with the pronunciation of numbers and geographical names, and fun exercises on phonemic symbols and minimal pairs.

Pearson English Active Readers Level 2 (Elementary): Tim Burton's The Nightmare Before Christmas with CD-ROM/1片 and MP3 Audio CD/1片

類似書籍推薦給您

【簡介】 Description American English/Contemporary Everybody in Halloweentown loves Halloween – but not Jack Skellington. Every year he has to sing the same scary songs and do the same dangerous dances. He is bored with them. Then, one day, he visits Christmastown and he has an idea. Why can't the vampires, witches, and skeletons of Halloweentown celebrate Christmas, to, their way? Active Readers Pearson English Active Readers and Pearson English Readers series offer an incredible range of popular titles and best-selling authors across a range of genres written for teenage and adult learners. Perfect to enjoy reading for pleasure, in or out of the classroom. 【目錄】

Pearson English Active Readers Level 2 (Elementary): The Call of the Wild with CD-ROM/1片 and MP3 Audio CD/1片 (1版)

類似書籍推薦給您

【簡介】 Description American English/Classic Buck is a strong, intelligent dog who moves from an easy life in California to the Klondike. Life is tough in the cold north of Canadaand Buck has to learn many hard lessons to survive. But can he ever be happy there? Active Readers Pearson English Active Readers and Pearson English Readers series offer an incredible range of popular titles and best-selling authors across a range of genres written for teenage and adult learners. Perfect to enjoy reading for pleasure, in or out of the classroom. 【目錄】

Pearson English Active Readers Level 2 (Elementary): The Secret Garden with CD-ROM/1片 and MP3 Audio CD/1片 (1版)

類似書籍推薦給您

【簡介】 Description British English/Classic Mary Lennox goes to live with her uncle in a big old house in the country. There are many gardens around the house. One day Mary finds a garden that has high walls and no door. What is the secret of the garden? Active Readers Pearson English Active Readers and Pearson English Readers series offer an incredible range of popular titles and best-selling authors across a range of genres written for teenage and adult learners. Perfect to enjoy reading for pleasure, in or out of the classroom. 【目錄】