COMPUTATION OF THE MATRIX ELEMENTS OF QUANTUM MECHANICS,

Abstract

This memorandum develops numerical methods for each of the three calculations into which the computation of a matrix element separates. Criteria are set up which so govern the numerical methods that large arrays of matrix elements associated with a specified potential are calculated rapidly and with controlled accuracy. The principal device for gaining speed consists of arranging the calculation in such a way that each wave function and each matrix element is advanced on one and the same interval before going on to the next interval; the larger the ratio of the number of matrix elements to the number of wave functions, the more effective is this device. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 10, 1963
Accession Number
AD0425953

Entities

People

  • Glenn H. Peebles

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Intervals
  • Mathematics
  • Mechanics
  • Quantum Mechanics
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Structural Dynamics.

Technology Areas

  • Quantum Computing