Quantum Mechanics I
eBook - PDF

Quantum Mechanics I

A Problem Text

  1. 456 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Quantum Mechanics I

A Problem Text

About this book

The goal of Quantum Mechanics I, A Problem Text, is to enable students to solve problems appropriate to their first course in quantum mechanics. Significantly detailed solutions to traditionally posed problems dominate. Theory and rationale are addressed in prescript and postscript narratives and/or within the solved problems to guide students; and clarify vocabulary, symbology, and terminology. Applications of the postulates are presented initially using arguments from linear algebra appropriate to discrete systems with low-dimensional vectors and matrix operators, introducing orthogonality, orthonormality, Hermiticity, eigenvectors, eigenvalues, probability, expectation value, and degeneracy. These arguments blend into infinite-dimensional vectors and operators, and calculus-based arguments for continuous systems where delta functions, theta functions, and Fourier transforms are initially discussed. Dirac notation is fully developed within these first five chapters. Chapter six discusses Ehrenfest's theorem, the Heisenberg uncertainty relations, and Gaussian wave functions and wave packets. Increasingly sophisticated potential energy functions are then treated to include the free particle, the infinite square well, the one-dimensional scattering state, the simple harmonic oscillator, the finite square well, orbital angular momentum, and the hydrogen atom. Ladder operators are featured in the developments of the simple harmonic oscillator and orbital angular momentum. The diversity of narratives and detailed solutions intend to allow students to solve comparable unsolved exercises at the end of each chapter/section whether used as a primary text, a supplementary text, or for self-study.

ABSTRACTING & INDEXING

Quantum Mechanics I is covered by the following services:

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X-MOL Additionally, the proceedings volume is registered and indexed in the Crossref database and accessible on Amazon.

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Yes, you can access Quantum Mechanics I by David DeBruyne,Larry Sorensen in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Dedication
  2. Preface
  3. Prologue
  4. Table of Contents
  5. Chapter 1. Discrete Systems I
  6. Chapter 2. Probability, Statistics, and Stationary States
  7. Chapter 3. Discrete Systems II
  8. Chapter 4. Continuous Systems I
  9. Chapter 5. Continuous Systems II
  10. Chapter 6. Ehrenfest, Heisenberg, and Gauss
  11. Chapter 7. The Free Particle
  12. Chapter 8. The Infinite Square Well
  13. Chapter 9. Scattering in One Dimension
  14. Chapter 10. The Simple Harmonic Oscillator
  15. Chapter 11. The Finite Square Well
  16. Chapter 12. Orbital Angular Momentum
  17. Chapter 13. The Hydrogen Atom
  18. Appendix A. Arithmetic with Complex Numbers
  19. Appendix B. Linear Independence and the Gram-Schmidt Orthonormalization Process
  20. Appendix C. The Gaussian Wave Packet Centered at k = k<sub>0</sub>.
  21. Appendix D. Second Derivative of the Associated Laguerre Function Used for Hydrogen
  22. Index