TUNNELLING FROM A MANY PARTICLE POINT OF VIEW

Abstract

The Hamiltonian for a system of interacting electrons in the presence of a barrier is trans formed into one which can be separated into three parts. Two of the parts describe the elec trons on the right and left sides of the barrier, while the third is a transition term which allows tunnelling through the barrier. It is shown that it is not reasonable to make the right and left hand Hamiltonians commute, but the effect of this failure is easily accounted for in perturbation theory. In addition, corrections to the transi tion operator arising from inter-electronic inter action are written down and discussed briefly. They may be both quantitatively and qualitatively important.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0409443

Entities

People

  • Richard E. Prange

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Electrons
  • Energy
  • Energy Levels
  • Government Procurement
  • Governments
  • High Energy
  • Maryland
  • Particles
  • Perturbation Theory
  • Physics
  • Quantum Mechanics
  • Quantum Numbers
  • Scientific Research
  • Transitions
  • United States
  • Wave Functions

Readers

  • Quantum Chemistry
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  • Theoretical Analysis.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene