Advanced Undergraduate Quantum Mechanics
Methods and Applications
Authors: Deych, Lev I.
Free Preview- Introduces and develops new concepts in a clear, logical manner, building from students’ prior knowledge
- Provides unprecedented level of detail in mathematical derivations of formal technical results accompanied by equally detailed qualitative discussions of their physical meaning and experimental implications
- Engages readers with a colloquial style and brief descriptions of the personal struggles of scientists whose contributions are described in the book
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- About this Textbook
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This introduction to quantum mechanics is intended for undergraduate students of physics, chemistry, and engineering with some previous exposure to quantum ideas. Following in Heisenberg’s and Dirac’s footsteps, this book is centered on the concept of the quantum state as an embodiment of all experimentally available information about a system, and its representation as a vector in an abstract Hilbert space. This conceptual framework and formalism are introduced immediately, and developed throughout the first four chapters, while the standard Schrödinger equation does not appear until Chapter 5.
The book grew out of lecture notes developed by the author over fifteen years of teaching at the undergraduate level. In response to numerous requests by students, material is presented with an unprecedented level of detail in both derivation of technical results and discussion of their physical significance. The book is written for students to enjoy reading it, rather than to use only as a source of formulas and examples. The colloquial and personal writing style makes it easier for readers to connect with the material. Additionally, readers will find short, relatable snippets about the “founding fathers” of quantum theory, their difficult historical circumstances, personal failings and triumphs, and often tragic fate. This textbook, complete with extensive original end-of-chapter exercises, is recommended for use in one- or two-semester courses for upper level undergraduate and beginning graduate students in physics, chemistry, or engineering. - About the authors
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Dr. Lev Deych is a professor of physics specializing in Optics and Condensed Matter Theory at Queens College (City University of New York). He has taught undergraduate students for 15 years and is widely published. Dr. Deych's research is currently focused on the properties and applications of optical Whispering Gallery Modes.
- Table of contents (16 chapters)
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Introduction
Pages 3-14
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Quantum States
Pages 15-39
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Observables and Operators
Pages 41-93
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Unitary Operators and Quantum Dynamics
Pages 95-113
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Representations of Vectors and Operators
Pages 115-161
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Advanced Undergraduate Quantum Mechanics
- Book Subtitle
- Methods and Applications
- Authors
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- Lev I. Deych
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-71550-6
- DOI
- 10.1007/978-3-319-71550-6
- Hardcover ISBN
- 978-3-319-71549-0
- Softcover ISBN
- 978-3-030-10073-5
- Edition Number
- 1
- Number of Pages
- XIX, 610
- Number of Illustrations
- 24 b/w illustrations, 26 illustrations in colour
- Topics
