© 2018

Advanced Undergraduate Quantum Mechanics

Methods and Applications


Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Lev I. Deych
      Pages 3-14
    3. Lev I. Deych
      Pages 15-39
    4. Lev I. Deych
      Pages 41-93
    5. Lev I. Deych
      Pages 95-113
    6. Lev I. Deych
      Pages 115-161
  3. Part II

    1. Front Matter
      Pages 163-163
    2. Lev I. Deych
      Pages 165-199
    3. Lev I. Deych
      Pages 201-254
    4. Lev I. Deych
      Pages 255-272
    5. Lev I. Deych
      Pages 273-327
    6. Lev I. Deych
      Pages 345-387
  4. Part III

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.


quantum mechanics textbook Schrodinger equation derivation Heisenberg equation quantum observables one-dimensional quantum models quantum harmonic oscillator angular momentum quantum transitions Stark effect and perturbation theory

Authors and affiliations

  1. 1.Physics Department, Queens College and the Graduate CenterCity University of New YorkNew YorkUSA

About the authors

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

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