Hendrik F. Hameka

Quantum Mechanics (eBook, PDF)

A Conceptual Approach

• Format: PDF

Produktbeschreibung

A unique introductory text on quantum mechanics, from basic principles to historical perspective. * Includes description of the historical developments that led to the discovery of QM, often left out of other textbooks. * Emphasizes basic concepts that were essential in this discovery, placing them in context and making them more understandable to students. * Written in an easy-to-understand style and assuming no prior knowledge of the topic, this book provides a solid foundation for future study of quantum chemistry. * Includes problem sets for student use.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 208
• Erscheinungstermin: 9. April 2004
• Englisch
• ISBN-13: 9780471654797
• Artikelnr.: 37301927

Autorenporträt

HENDRIK F. HAMEKA is Professor of Theoretical Chemistry in the Department of Chemistry at the University of Pennsylvania. Originally trained as a theoretical physicist, he studied quantum mechanics under H. A. Kramers (who in turn had studied under Niels Bohr). This study sparked his interest in chemical applications of quantum mechanics, which subsequently became his principal research specialty. He has written four previous textbooks on this subject, the last of which was published by Wiley.

Inhaltsangabe

Preface. 1. The Discovery of Quantum Mechanics. I Introduction. II Planck
and Quantization. III Bohr and the Hydrogen Atom. IV Matrix Mechanics. V
The Uncertainty Relations. VI Wave Mechanics. VII The Final Touches of
Quantum Mechanics. VIII Concluding Remarks. 2. The Mathematics of Quantum
Mechanics. I Introduction. II Differential Equations. III Kummer's
Function. IV Matrices. V Permutations. VI Determinants. VII Properties of
Determinants. VIII Linear Equations and Eigenvalues. IX Problems. 3.
Classical Mechanics. I Introduction. II Vectors and Vector Fields. III
Hamiltonian Mechanics. IV The Classical Harmonic Oscillator. V Angular
Momentum. VI Polar Coordinates. VII Problems. 4. Wave Mechanics of a Free
Particle. I Introduction. II The Mathematics of Plane Waves. III The
Schrödinger Equation of a Free Particle. IV The Interpretation of the Wave
Function. V Wave Packets. VI Concluding Remarks. VII Problems. 5. The
Schrödinger Equation. I Introduction. II Operators. III The Particle in a
Box. IV Concluding Remarks. V Problems. 6. Applications. I Introduction. II
A Particle in a Finite Box. III Tunneling. IV The Harmonic Oscillator. V
Problems. 7. Angular Momentum. I Introduction. II Commuting Operators. III
Commutation Relations of the Angular Momentum. IV The Rigid Rotor. V
Eigenfunctions of the Angular Momentum. VI Concluding Remarks. VII
Problems. 8. The Hydrogen Atom. I Introduction. II Solving the Schrödinger
Equation. III Deriving the Energy Eigenvalues. IV The Behavior of the
Eigenfunctions. V Problems. 9. Approximate Methods. I Introduction. II The
Variational Principle. III Applications of the Variational Principle. IV
Perturbation Theory for a Nondegenerate State. V The Stark Effect of the
Hydrogen Atom. VI Perturbation Theory for Degenerate States. VII Concluding
Remarks. VIII Problems. 10. The Helium Atom. I Introduction. II
Experimental Developments. III Pauli's Exclusion Principle. IV The
Discovery of the Electron Spin. V The Mathematical Description of the
Electron Spin. VI The Exclusion Principle Revisited. VII Two-Electron
Systems. VIII The Helium Atom. IX The Helium Atom Orbitals. X Concluding
Remarks. XI Problems. 11 Atomic Structure. I Introduction. II Atomic and
Molecular Wave Function. III The Hartree-Fock Method. IV Slater Orbitals. V
Multiplet Theory. VI Concluding Remarks. VII Problems. 12 Molecular
Structure. I Introduction. II The Born-Oppenheimer Approximation. III
Nuclear Motion of Diatomic Molecules. IV The Hydrogen Molecular Ion. V The
Hydrogen Molecule. VI The Chemical Bond. VII The Structures of Some Simple
Polyatomic Molecules. VIII The Hückel Molecular Orbital Method. IX
Problems. Index.