Theoretical and Quantum Mechanics
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BeschreibungThis book has emerged from an undergraduate course as well as a graduate one, which I have taught for a number of years. Recently, many universities have experimented by bringing quantum theory forward in the curriculum and we follow their example. This book is intended to serve as an introduction to theoretical mechanics and quantum mechanics for chemists. I have included those parts of quantum mechanics which are of greatest fundamental interest and utility, and have developed those parts of classical mechanics which relate to and illuminate them. I try to give a comprehensive treatment wherever possible. The book would acquaint chemists with the quantum structure of the basic object of chemistry, the atom. My intention is to bridge the gap between classical physics, general and inorganic chemistry, and quantum mechanics. For these reasons: 1. I present in one course the basics of theoretical mechanics and quantum mechanics, to emphasise the continuity between them; 2. I have chosen the topics of theoretical mechanics based upon two criteria: a) usefulness for chemical problems: two-body problem; rotational motion of a charged particles (free and in an atom); interaction of a magnetic field with a magnetic dipole; details of small oscillations and oscillations of molecules; b) the need for transition from classical to quantum mechanics: basics of Lagrangian mechanics; basics of Hamiltonian mechanics; 3. I give detailed explanation of an application of the quantum method to simple systems: one-dimensional potential, harmonic oscillator, hydrogen atom, and hydrog- like atoms.
InhaltsverzeichnisPART ONE: SELECTED TOPICS OF THEORETICAL MECHANICS 1. LAGRANGIAN FUNCTION AND LAGRANGE'S EQUATIONS
2. CONSERVATION LAWS
3. CENTRAL CONSERVATIVE FORCES
4. ROTATING MOTION OF A CHARGED PARTICLE
5. SMALL HARMONIC OSCILLATIONS
6. HAMILTONIAN MECHANICS
PART TWO: BASICS OF QUANTUM MECHANICS 7. THE SOURCES OF THE QUANTUM MECHANICS
8. OLD QUANTUM MECHANICS
9. THE WAVE FUNCTION
11. THE SCHROEDINGER EQUATION AND TIME DEPENDENCE OF THE OBTHERVABLES
12. MOTION IN ONE-DIMENTIONAL POTENTIAL
13. THE HARMONIC QUANTUM OSCILLATOR
14. THE TWO-BODY PROBLEM - THE HYDROGEN ATOM AND A DIATOMIC MOLECULE
15. PERTURBATION THEORY AND STARK EFFECT
17. INTERACTION OF ELECTRONS WITH MAGNETIC FIELD
18. THE HELIUM ATOM
19. PERIODIC TABLE
Pressestimmen"I like the approach followed very much. [...] He shows clearly that these more advanced and powerful methods can be straightforwardly applied to these problems. His transparant and elegant way of presentation will bring a deeper and more bountiful insight to the student in classical and quantum mechanics[...]"
(Steven Stolte, Department of Chemistry, Vrije Universiteit, The Netherlands)
"[...]I think it is a very useful book to have on my bookshelves, especially since it makes a clear connection between classical and quantum mechanics. [...]it is very useful for me and theoretically oriented chemists [...]I found the book very useful in preparing my lectures for my first-year quantum chemistry course as it gave me more insight into the connection between quantum and classical mechanics."
(Joop van Lenthe, Theoretical Chemistry Group, Utrecht University, The Netherlands)
Untertitel: Fundamentals for Chemists. 2006. Auflage. Bibliographie. Book. Sprache: Englisch.
Verlag: Springer-Verlag GmbH
Erscheinungsdatum: November 2005