## Beschreibung

### Beschreibung

This 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.### Inhaltsverzeichnis

PART ONE: SELECTED TOPICS OF THEORETICAL MECHANICS 1. LAGRANGIAN FUNCTION AND LAGRANGE'S EQUATIONS2. 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

10. OPERATORS

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

16. SPIN

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)

EAN: 9781402033650

ISBN: 1402033656

Untertitel: Fundamentals for Chemists.
2006. Auflage.
Bibliographie.
Book.
Sprache: Englisch.

Verlag: Springer-Verlag GmbH

Erscheinungsdatum: November 2005

Seitenanzahl: XXIII

Format: gebunden

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