Algebraic Theory of MoleculesOxford University Press, 1995 - 243 Seiten Algebraic Theory of Molecules presents a fresh look at the mathematics of wave functions that provide the theoretical underpinnings of molecular spectroscopy. Written by renowned authorities in the field, the book demonstrates the advantages of algebraic theory over the more conventional geometric approach to developing the formal quantum mechanics inherent in molecular spectroscopy. Many examples are provided that compare the algebraic and geometric methods, illustrating the relationship between the algebraic approach and current experiments. The authors develop their presentation from a basic level so as to enable newcomers to enter the field while providing enough details and concrete examples to serve as a reference for the expert. Chemical physicists, physical chemists, and spectroscopists will want to read this exciting new approach to molecular spectroscopy. |
Inhalt
Chapter 1 The Wave Mechanics of Diatomic Molecules | 3 |
Chapter 2 Summary of Elements of Algebraic Theory | 21 |
Chapter 3 Mechanics of Molecules | 60 |
Chapter 4 Threebody Algebraic Theory | 72 |
Chapter 5 FourBody Algebraic Theory | 119 |
Chapter 6 ManyBody Algebraic Theory | 133 |
Chapter 7 Classical Limit and Coordinate Representation | 156 |
Chapter 8 Prologue to the Future | 190 |
Properties of Lie Algebras | 197 |
Coupling of Algebras | 206 |
Hamiltonian Parameters | 218 |
References | 221 |
239 | |
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Häufige Begriffe und Wortgruppen
A₁ algebraic approach algebraic Hamiltonian Alhassid angular momentum anharmonic approximation atoms bending vibrations benzene bonds boson operators calculation Casimir invariant Casimir operators chain Chapter characterized Chem classical Clebsch-Gordan coefficients cm¯¹ cm¹ Computed coordinates corresponding coupling denote diagonal Diatomic discussed dynamical symmetry eigenvalues electronic energy levels example expansion expectation value Fermi geometrical given by Eq ħ² Iachello infrared integers introduce J₁ Lemus Lett Leviatan Levine Lie algebras linear molecules linear triatomic molecules local-mode Majorana operator matrix elements modes Molecular momenta Morse oscillator Morse potential multiplet N₁ N₂ notation obtained overtones parameters Phys Polyatomic Molecules potential function quantum mechanics representations resonance Roosmalen rotational rovibrator Schrödinger equation shown in Figure Spectra Spectroscopy spectrum spherical stretching vibrations T₁ Table tensor tetratomic molecules three-dimensional tion transition V₁ variables vector vibrational quantum numbers vibron numbers wave functions ΣΤ