© 2019

Quantum Physics

States, Observables and Their Time Evolution


Table of contents

  1. Front Matter
    Pages i-ix
  2. Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 1-64
  3. Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 65-117
  4. Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 119-199
  5. Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 201-249
  6. Arno Bohm, Piotr Kielanowski, G. Bruce Mainland
    Pages 251-309
  7. Back Matter
    Pages 311-353

About this book


This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. 
Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. 
An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.


Quantum harmonic oscillator Heisenberg uncertainty principle Dipole radiation Einstein coefficients Rigid dumbbell Diatomic molecule Quantum mechanics textbook Rotating dumbbell Clebsch Gordan theorem Wigner Eckart theorem Quantum rotator Pertubation theory Stark effect Schroedinger equation Heisenberg equation Magnetic resonance Linear operator Franck-Hertz experiment

Authors and affiliations

  1. 1.Department of PhysicsUniversity of TexasAustinUSA
  2. 2.Department of PhysicsCINVESTAVMexico CityMexico
  3. 3.Department of PhysicsOhio State UniversityColumbusUSA

About the authors

Professor Arno Bohm, Universtiy of Texas, Austin, IX, USA
Professor Piotr Kielanowski, CINEVESTAV, Mexico City, Mexico
Professor G. Bruce Mainland, Ohio State University, Columbus, OH, USA

Bibliographic information