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The Recursion Method and Its Applications

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Cover of 'The Recursion Method and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Why Recur?
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    Chapter 2 The Recursive Solution of Schroedinger’s Equation
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    Chapter 3 Asymptotic Behaviour of Continued Fraction Coefficients Related to Singularities of the Weight Function
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    Chapter 4 Band Gaps and Asymptotic Behaviour of Continued Fraction Coefficients
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    Chapter 5 Computing Greenians: Quadrature and Termination
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    Chapter 6 Application of Linear Prediction for Extrapolating Recursion Coefficients
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    Chapter 7 On a Generalized-Moments Method
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    Chapter 8 The Equation of Motion Method
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    Chapter 9 Use of Cyclic Matrices to Obtain Analytic Expressions for Crystals
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    Chapter 10 Continued Fractions and Perturbation Theory: Application to Tight Binding Systems
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    Chapter 11 Response Functions and Interatomic Forces
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    Chapter 12 The Recursion Method with a Non-Orthogonal Basis
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    Chapter 13 Hamiltonian Eigenvalues for Lattice Gauge Theories
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    Chapter 14 The Lanczos Method in Lattice Gauge Theories
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    Chapter 15 A Dedicated Lanczos Computer for Nuclear Structure Calculations
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    Chapter 16 Conference Summary
Attention for Chapter 4: Band Gaps and Asymptotic Behaviour of Continued Fraction Coefficients
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