http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Introduction to perturbation theory in quantum mechanics
Perturbation theory in quantum mechanics
1 online resource (xii, 271 pages) : illustrations
A textbook for students of theoretical physics and chemistry on the approximation method, which can be used to solve a wide variety of problems in applied mathematics. Fern ndez (theoretical chemistry and mathematical physics, U. of La Plata, Buenos Aires) draws into a single volume a wide variety of techniques that facilitate applying the approach.
Perturbation Theory in Quantum Mechanics -- Bound States -- The 2s + 1 Rule -- Degenerate States -- Equations of Motion -- Time-Dependent Perturbation Theory -- One-Particle Systems -- Stationary States of the Anharmonic Oscillator -- Harmonic Oscillator with a Time-Dependent Perturbation -- Heisenberg Operators for Anharmonic Oscillators -- Perturbation Theory in the Coordinate Representation -- The Method of Dalgarno and Stewart -- The One-Dimensional Anharmonic Oscillator -- The Zeeman Effect in Hydrogen -- Logarithmic Perturbation Theory -- The One-Dimensional Anharmonic Oscillator -- The Zeeman Effect in Hydrogen -- The Method of Fernandez and Castro -- The One-Dimensional Anharmonic Oscillator -- Perturbation Theories without Wavefunction -- Hypervirial and Hellmann-Feynman Theorems -- The Method of Swenson and Danforth -- One-Dimensional Models -- Central-Field Models -- More General Polynomial Perturbations -- Moment Method -- Exactly Solvable Cases -- Perturbation Theory by the Moment Method -- Nondegenerate Case -- Degenerate Case -- Relation to Other Methods: Modified Moment Method -- Perturbation Theory in Operator Form -- Illustrative Example: The Anharmonic Oscillator -- Simple Atomic and Molecular Systems -- The Stark Effect in Hydrogen -- Parabolic Coordinates -- Spherical Coordinates -- The Zeeman Effect in Hydrogen -- The Hydrogen Molecular Ion -- The Delta Molecular Ion -- The Schrodinger Equation on Bounded Domains -- One-Dimensional Box Models -- Straightforward Integration.
Includes bibliographical references (pages 255-265) and index.
Boca Raton, Fla. ; London : CRC Press, ©2001