Hypervirial Theorems

  • F. M. Fernández
  • E. A. Castro
Book

Part of the Lecture Notes in Chemistry book series (LNC, volume 43)

Table of contents

  1. Front Matter
    Pages N2-VIII
    PDF

  2. Hypervirial Theorems. Development and Applications of the Hypervirial Methodology to Solve Quantum Chemistry Models

    1. Hypervirial Theorems. Development and Applications of the Hypervirial Methodology to Solve Quantum Chemistry Models
      Francisco M. Fernández, Eduardo A. Castro
      Pages 1-2

  3. Part A

    1. Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
      F. M. Fernández, E. A. Castro
      Pages 3-32
    2. Hypervirial Theorems and Perturbation Theory
      F. M. Fernández, E. A. Castro
      Pages 33-40
    3. Hypervirial Theorems and the Variational Theorem
      F. M. Fernández, E. A. Castro
      Pages 41-104
    4. Non Diagonal Hypervirial Theorems and Approximate Functions
      F. M. Fernández, E. A. Castro
      Pages 105-137
    5. Hypervirial Functions and Self-Consistent Field Functions
      F. M. Fernández, E. A. Castro
      Pages 138-159
    6. Perturbation Theory without Wave Function
      F. M. Fernández, E. A. Castro
      Pages 160-177

  4. Part B

    1. Importance of the Different Boundary Conditions
      F. M. Fernández, E. A. Castro
      Pages 178-187
    2. Hypervirial Theorems for 1D Finite Systems. General Boundary Conditions
      F. M. Fernández, E. A. Castro
      Pages 188-195
    3. Hypervirial Theorems for 1D Finite Systems. Dirichlet Boundary Conditions
      F. M. Fernández, E. A. Castro
      Pages 196-227
    4. Hypervirial Theorems for Finite 1D Systems. Von Neumann Boundary Conditions
      F. M. Fernández, E. A. Castro
      Pages 228-242
    5. Hypervirial Theorems for Finite Multidimensional Systems
      F. M. Fernández, E. A. Castro
      Pages 243-271
  5. Back Matter
    Pages 272-375
    PDF

About this book

Keywords

Hamiltonian operator Schrödinger equation boundary condition crystal dynamics electron electrons energy evolution mechanics particles perturbation theory quantum mechanics self-consistent field translation

Authors and affiliations

  • F. M. Fernández
    • 1
  • E. A. Castro
    • 1
  1. 1.Instituto de Investigaciones Fisicoquímicas Teoricas y Aplicadas (INIFTA) División Química TeóricaUniversidad Nacional de La PlataLa PlataArgentina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-93349-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17170-6
  • Online ISBN 978-3-642-93349-3
  • Series Print ISSN 0342-4901
  • Series Online ISSN 2192-6603
  • About this book