THE INTEGRATION OF THE FIRST-ORDER PERTURBED WAVE EQUATION FOR EXCITED STATES OF ONE DIMENSIONAL SYSTEMS

Abstract

The explicit solutions of the first-order perturbation equations for a one dimensional system can be obtained es provided that the zeroth-order wave function does not have any nodes. Methods of integrating the equations are developed for excited states where the zeroth-order wave function has nodes. One of these methods is suitable for obtaining numerical solutions.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 15, 1963
Accession Number
AD0405557

Entities

People

  • Joseph O. Hirschfelder
  • W. B. Brown

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Charged Particles
  • Complex Variables
  • Computational Chemistry
  • Computational Science
  • Differential Equations
  • Equations
  • Government Procurement
  • Ground State
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Perturbation Theory
  • Perturbations
  • Quantum Mechanics
  • Wave Equations
  • Wave Functions

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Infectious Disease/Epidemiology
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.