Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 1990

Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

Authors:

  1. G. A. Arteca

    1. División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. F. M. Fernández

    1. División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. E. A. Castro

    1. División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Chemistry (LNC, volume 53)

Sections

Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (21 chapters)

  1. Front Matter

    Pages I-XI
    PDF

  2. Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

    1. Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 1-4

  3. Part A

    1. General Properties of the Eigenvalue Spectrum

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 5-22

    2. The Semiclassical Approximation and the JWKB Method

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 23-44

    3. Rayleigh-Schrodinger Perturbation Theory (RSPT)

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 45-71

    4. Divergence of the Perturbation Series

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 72-109

    5. Perturbation Series Summation Techniques

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 110-140

    6. Foundations of the Variational Functional Method (VFM)

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 141-164

    7. Application of the VFM to One-Dimensional Systems with Trivial Boundary Conditions

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 165-189

    9. Multidimensional Systems: The Problem of the Zeeman Effect in Hydrogen

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 217-253

    10. Application of the VFM to the Zeeman Effect in Hydrogen

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 254-271

    11. Combination of VFM with RSPT: Application to Anharmonic Oscillators

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 272-304

    12. Geometrical Connection Between the VFM and the JWKB Method

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 305-328

  4. A General Method for Summation of Perturbation Series

    1. Front Matter

      Pages 329-329
      PDF

    2. Generalization of the Functional Method as a Summation Technique of Perturbation Series

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 330-380

    3. Properties of the FM: Series with Non-Zero Convergence RADII.

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 381-414

    4. Properties of the FM: Series with Zero Convergence RADII

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 415-454

    5. Application of the FM to the Anharmonic Oscillator

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 455-477

    6. Application of the FM to Models with Confining Potentials

      • G. A. Arteca, F. M. Fernández, E. A. Castro
      Pages 478-493
Back to top

About this book

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.
Back to top

Keywords

Back to top

Authors and Affiliations

  • División Química Teórica, Instituto de Investigaciones Fisicoquímicas, Teóricas y Aplicadas (INIFTA), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina

    G. A. Arteca, F. M. Fernández, E. A. Castro

Back to top

Bibliographic Information

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation