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Large Order Perturbation Theory and Summation Methods in Quantum Mechanics : Lecture Notes in Chemistry - Gustavo A. Arteca

Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

Lecture Notes in Chemistry

Paperback ISBN: 9783540528470
Number Of Pages: 644

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The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.

From the Contents: General Properties of the Eigenvalue Spectrum.- The Semiclassical Approximation and the JWKB Method.- Rayleigh-Schr"dinger Perturbation Theory (RSPT).- Divergence of the Perturbation Series.- Perturbation Series Summation Techniques.- Foundations of the Variational Functional Method (VFM).- Application to One-Dimensional Systems with Trivial Boundary Conditions and with Boundary Conditions for Finite Values of the Coordinates.- Multidimensional Systems: The Problem of the Zeeman Effect in Hydrogen and Application of the VFM.- Combination of VFM with RSPT: Appl. to Anharmonic Oscillators.- Geometrical Connection between the VFM and the JWKB Method.- Generalization of the Functional Method.- Properties of the FM: Series with Non-Zero and with Zero Convergence RADII.- Appl. to the Anharmonic Oscillator, to Models with Confining Potentials, to the Zeeman Effect in Hydrogen, to the Stark Effect in Hydrogen.- FM and Vibrational Potentials of Diatomic Molecules.

ISBN: 9783540528470
ISBN-10: 3540528474
Series: Lecture Notes in Chemistry
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 644
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 24.2 x 17.0  x 4.1
Weight (kg): 1.11