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Introduction to Quantum Mechanics with Applications to Chemistry.

Author: Linus Pauling
Publisher: Dover Publications, 2012.
Series: Dover books on physics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Linus Pauling
ISBN: 1306346304 9781306346306 9780486134932 0486134938 0486648710 9780486648712 1621986284 9781621986287
OCLC Number: 868270550
Language Note: English.
Description: 1 online resource
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. 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.
Series Title: Dover books on physics.

Abstract:

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 University, provide a readily understandable study of "wave mechanics," discussing the Schrodinger wave equation and the problems which can be solved with it. Extensive knowledge of mathematics is not required, although the student must have a grasp of elementary mathematics through the calculus. Pauling and Wilson begin with a survey of classical mechanics, including Newton's equations of motion in the Lagrangian form, and then move on to the "old" quantum theory, developed through the work of Planck, Einstein and Bohr. This analysis leads to the heart of the book? an explanation of quantum mechanics which, as Schrodinger formulated it, "involves the renunciation of the hope of describing in exact detail the behavior of a system." Physics had created a new realm in which classical, Newtonian certainties were replaced by probabilities? a change which Heisenberg's uncertainty principle (described in this book) subsequently reinforced. With clarity and precision, the authors guide the student from topic to topic, covering such subjects as the wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, the structure of simple and complex molecules, Van der Waals forces, and systems in thermodynamic equilibrium. To insure that the student can follow the mathematical derivations, Pauling and Wilson avoid the "temptation to condense the various discussions into shorter and perhaps more elegant forms" appropriate for a more advanced audience. Introduction to Quantum Mechanics is a perfect vehicle for demonstrating the practical application of quantum mechanics to a broad spectrum of chemical and physical problems.

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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 University, provide a readily understandable study of \"wave mechanics,\" discussing the Schrodinger wave equation and the problems which can be solved with it. Extensive knowledge of mathematics is not required, although the student must have a grasp of elementary mathematics through the calculus. Pauling and Wilson begin with a survey of classical mechanics, including Newton\'s equations of motion in the Lagrangian form, and then move on to the \"old\" quantum theory, developed through the work of Planck, Einstein and Bohr. 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