Chemical Potential of One-Dimensional Simple Harmonic Oscillators

Abstract

Expressions for the chemical potential of an Einstein solid, and of ideal Fermi and Bose gases in an external one-dimensional oscillatory trap, are calculated by two different methods and are all found to share the same functional form. These derivations are easier than traditional textbook calculations for an ideal gas in an infinite three-dimensional square well. Furthermore, the results indicate some important features of chemical potential that could promote student learning in an introductory course in statistical mechanics at the undergraduate level.

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Document Details

Document Type
Technical Report
Publication Date
Aug 03, 2009
Accession Number
ADA551098

Entities

People

  • Carl E. Mungan

Organizations

  • United States Naval Academy

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Condensation
  • Distribution Functions
  • Energy
  • Energy Levels
  • Equations
  • Exclusion Principle
  • Fermi Levels
  • Ground State
  • Mechanics
  • Numerical Analysis
  • Oscillators
  • Phase Transformations
  • Physics
  • Statistical Mechanics
  • Thermodynamics
  • Three Dimensional
  • United States Naval Academy

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • STEM Education