Operator Techniques in Atomic Spectroscopy (eBook)

Brian R. Judd (Autor)

eBook Download: PDF

2014
256 Seiten
Princeton University Press (Verlag)
978-1-4008-6477-5 (ISBN)

Infos

In the 1920s, when quantum mechanics was in its infancy, chemists and solid state physicists had little choice but to manipulate unwieldy equations to determine the properties of even the simplest molecules. When mathematicians turned their attention to the equations of quantum mechanics, they discovered that these could be expressed in terms of group theory, and from group theory it was a short step to operator methods.This important development lay largely dormant until this book was originally published in 1963. In this pathbreaking publication, Brian Judd made the operator techniques of mathematicians comprehensible to physicists and chemists. He extended the existing methods so that they could handle heavier, more complex molecules and calculate their energy levels, and from there, it was another short step to the mathematical analysis of spectra. This book provides a first-class introduction to continuous groups for physicists and chemists. Although first written from the perspective of atomic spectroscopy, its major topics and methods will appeal to anyone who has an interest in understanding particle theories of nuclear physics.Originally published in 1998.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Zusatzinfo: 30 halftones
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: 3-j symbol • 6-j symbol • 9-j symbol • abelian group • Absorption spectroscopy • actinide • Addition theorem • Algebraic function • atomic spectroscopy • Azimuthal quantum number • basis function • Basis (linear algebra) • Bohr magneton • Calculation • coefficient • commutator • Conjunction (astronomy) • Coulomb's Law • Degeneracy (mathematics) • Degenerate energy levels • Degrees of freedom (statistics) • Determinant • Diagram (category theory) • Dirac delta function • Dirac equation • E6 (mathematics) • Eigenfunction • Eigenvalues and Eigenvectors • Electric Field • Electric potential • Electron Configuration • Electron magnetic moment • energy level • Equation • Explicit formula • exponential function • Expression (mathematics) • Factorization • Fluorine • Function (mathematics) • Geometric series • Good quantum number • Group (mathematics) • hydrogen atom • hyperfine structure • Identity element • Identity matrix • Implicit function • Infinitesimal transformation • Invertible matrix • irreducible representation • Jacobi identity • Kronecker Product • Linear combination • linear differential equation • Magnetic field • Multiplet • Nuclear magneton • nuclear physics • Nucleon • Octahedral symmetry • octahedron • One-dimensional space • Operator (physics) • Orthonormality • Particle physics • Pauli Exclusion Principle • Permutation • Perturbation theory (quantum mechanics) • Phase factor • power series • Prime number • Quantity • Quantum number • Representation Theory • resultant • Scalar (physics) • Schrödinger equation • scientific notation • Shift operator • Special Unitary Group • spectroscopy • Spin–orbit interaction • Spin (physics) • Spin quantum number • Structure constants • SUBGROUP • Summation • symmetrization • Symplectic Group • Tensor • Tensor operator • theory • Three-dimensional space (mathematics) • Trace (linear algebra) • two-dimensional space • Unitarity (physics) • Unitary matrix • unitary transformation • Variable (mathematics)
• ISBN-10: 1-4008-6477-1 / 1400864771
• ISBN-13: 978-1-4008-6477-5 / 9781400864775