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OverviewFull Product DetailsAuthor: Gustavo A. Arteca , Francisco M. Fernandez , Eduardo A. CastroPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1990 Volume: 53 Dimensions: Width: 17.00cm , Height: 4.10cm , Length: 24.20cm Weight: 1.111kg ISBN: 9783540528470ISBN 10: 3540528474 Pages: 644 Publication Date: 08 August 1990 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsA.- I. General Properties of the Eigenvalue Spectrum.- II. The Semiclassical Approximation and the JWKB Method.- III. Rayleigh-Schrödinger Perturbation Theory (RSPT).- IV. Divergence of the Perturbation Series.- V. Perturbation Series Summation Techniques.- VI. Foundations of the Variational Functional Method (VFM).- VII. Application of the VFM to One-Dimensional Systems with Trivial Boundary Conditions.- VIII Application of the VFM to One-Dimensional Systems with Boundary Conditions for Finite Values of the Coordinates.- IX Multidimensional Systems: The Problem of the Zeeman Effect in Hydrogen.- X Application of the VFM to the Zeeman Effect in Hydrogen.- XI Combination of VFM with RSPT: Application to Anharmonic Oscillators.- XII Geometrical Connection between the VFM and the JWKB Method.- B.- XIII Generalization of the Functional Method as a Summation Technique of Perturbation Series.- XIV Properties of the FM: Series with Non-Zero Convergence Radii.- XV Properties of the FM: Series with Zero Convergence Radii.- XVI Appication of the FM to the Anharmonic Oscillator.- XVII Application of the FM to Models with Confining Potentials.- XVIII Application of the FM to the Zeeman Effect in Hydrogen.- XIX Application of the FM to the Stark Effect in Hydrogen.- XX FM and Vibrational Potentials of Diatomic Molecules.- Appendix A Scaling Laws of Schrödinger Operators.- Appendix B Applications of the Anharmonic Oscillator Model.- Appendix D Calculation of Integrals by the Saddle-Point Method.- Appendix E Construction of Padé Approximants.- Appendix F Normal Ordering of Operators.- Appendix G Applications of Models with Confining Potentials.- Appendix H Hamiltonian of an Hydrogen Atom in a Magnetic Field.- Appendix I Asymptotic Behavior of the Binding Energy for the ZeemanEffect in the Hydrogen Atom.- Appendix L RKR Method to Obtain Vibrational Potentials of Diatomic Molecules.- References Appendices A–L.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |