Introduction to Quantum Mechanics with Applications to Chemistry.

Format:

Book

Author/Creator:

Pauling, Linus.

Contributor:

Wilson, E. Bright (Edgar Bright), 1908-1992.

Series:

Dover Books on Physics

Language:

English

Subjects (All):

Quantum theory.

Wave mechanics.

Chemistry, Physical and theoretical.

Physical Description:

1 online resource (752 p.)

Edition:

1st ed.

Place of Publication:

Newburyport : Dover Publications, 2012.

Language Note:

English

Summary:

When this classic text was first published in 1935, it fulfilled the goal of its authors ""to produce a textbook of practical quantum mechanics for the chemist, the experimental physicist, and the beginning student of theoretical physics."" Although many who are teachers today once worked with the book as students, the text is still as valuable for the same undergraduate audience.Two-time Nobel Prize winner Linus Pauling, Research Professor at the Linus Pauling Institute of Science and Medicine, Palo Alto, California, and E. Bright Wilson, Jr., Professor Emeritus of Chemistry at Harvard Unive

Contents:

Cover; Title Page; Copyright Page; Preface; Contents; Chapter I: Survey of Classical Mechanics; 1. Newton's Equations of Motion in the Lagrangian Form; 1a. The Three-dimensional Isotropic Harmonic Oscillator; 1b. Generalized Coordinates; 1c. The Invariance of the Equations of Motion in the Lagrangian Form; 1d. An Example: The Isotropic Harmonic Oscillator in Polar Coordinates; 1e. The Conservation of Angular Momentum; 2. The Equations of Motion in the Hamiltonian Form; 2a. Generalized Momenta; 2b. The Hamiltonian Function and Equations; 2c. The Hamiltonian Function and the Energy

2d. A General Example3. The Emission and Absorption of Radiation; 4. Summary of Chapter 1; Chapter II: The Old Quantum Theory; 5. The Origin of the Old Quantum Theory; 5a. The Postulates of Bohr; 5b. The Wilson-Sommerfeld Rules of Quantization; 5c. Selection Rules. The Correspondence Principle; 6. The Quantization of Simple Systems; 6a. The Harmonic Oscillator. Degenerate States; 6b. The Rigid Rotator; 6c. The Oscillating and Rotating Diatomic Molecule; 6d. The Particle in a Box; 6e. Diffraction by a Crystal Lattice; 7. The Hydrogen Atom; 7a. Solution of the Equations of Motion

7b. Application of the Quantum Rules. The Energy Levels7c. Description of the Orbits; 7d. Spatial Quantization; 8. The Decline of the Old Quantum Theory; Chapter III: The Schrödinger Wave Equation with the Harmonic Oscillator as an Example; 9. The Schrödinger Wave Equation; 9a. The Wave Equation Including the Time; 9b. The Amplitude Equation; 9c. Wave Functions. Discrete and Continuous Sets of Characteristic Energy Values; 9d. The Complex Conjugate Wave Function ψ*(x, t); 10. The Physical Interpretation of the Wave Functions; 10a. ψ*(x, t)ψ(x, t) as a Probability Distribution Function

10b. Stationary States10c. Further Physical Interpretation. Average Values of Dynamical Quantities; 11. The Harmonic Oscillator in Wave Mechanics; 11a. Solution of the Wave Equation; 11b. The Wave Functions for the Harmonic Oscillator and their Physical Interpretation; 11c. Mathematical Properties of the Harmonic Oscillator Wave Functions; Chapter IV: The Wave Equation for a System of Point Particles in Three Dimensions; 12. The Wave Equation for a System of Point Particles; 12a. The Wave Equation Including the Time; 12b. The Amplitude Equation

12c. The Complex Conjugate Wave Function ψ*(x1 ... ZN, t)12d. The Physical Interpretation of the Wave Functions; 13. The Free Particle; 14. The Particle in a Box; 15. The Three-dimensional Harmonic Oscillator in Cartesian Coordinates; 16. Curvilinear Coordinates; 17. The Three-dimensional Harmonic Oscillator in Cylindrical Coordinates; Chapter V: The Hydrogen Atom; 18. The Solution of the Wave Equation by the Polynomial Method and the Determination of the Energy Levels; 18a. The Separation of the Wave Equation. The Translational Motion; 18b. The Solution of the φ Equation

18c. The Solution of the θ Equation

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

ISBN:

9780486134932

0486134938

9781621986287

1621986284

OCLC:

868270550