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Advanced Undergraduate Quantum Mechanics

Methods and Applications

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras
  • Request lecturer material: sn.pub/lecturer-material

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xix
  2. Language and Formalism of Quantum Mechanics

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Lev I. Deych
      Pages 3-14
    3. Quantum States

      • Lev I. Deych
      Pages 15-39
    4. Observables and Operators

      • Lev I. Deych
      Pages 41-93
    5. Unitary Operators and Quantum Dynamics

      • Lev I. Deych
      Pages 95-113
    6. Representations of Vectors and Operators

      • Lev I. Deych
      Pages 115-161
  3. Part II

    1. Front Matter

      Pages 163-163
    2. One-Dimensional Models

      • Lev I. Deych
      Pages 165-199
    3. Harmonic Oscillator Models

      • Lev I. Deych
      Pages 201-254
    4. Hydrogen Atom

      • Lev I. Deych
      Pages 255-272
    5. Spin 1/2

      • Lev I. Deych
      Pages 273-327
    6. Non-interacting Many-Particle Systems

      • Lev I. Deych
      Pages 345-387

About this book

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.

Authors and Affiliations

  • Physics Department, Queens College and the Graduate Center, City University of New York, New York, USA

    Lev I. Deych

About the author

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access