11. Dynamical Variables and Observables in Quantum Mechanics: The Mathematical Formalism

  1. J. Tinsley Oden

Published Online: 30 NOV 2011

DOI: 10.1002/9781118105733.ch11

An Introduction to Mathematical Modeling: A Course in Mechanics

An Introduction to Mathematical Modeling: A Course in Mechanics

How to Cite

Oden, J. T. (2011) Dynamical Variables and Observables in Quantum Mechanics: The Mathematical Formalism, in An Introduction to Mathematical Modeling: A Course in Mechanics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118105733.ch11

Publication History

  1. Published Online: 30 NOV 2011
  2. Published Print: 30 SEP 2011

ISBN Information

Print ISBN: 9781118019030

Online ISBN: 9781118105733

SEARCH

Keywords:

  • dynamical variables;
  • observables in quantum mechanics;
  • mathematical formalism;
  • Hermitian operators;
  • discrete spectrum

Summary

This chapter contains sections titled:

  • Introductory Remarks

  • The Hilbert Spaces L2(ℝ) (or L2(ℝd)) and H1(ℝ) (or H1(ℝd))

  • Dynamical Variables and Hermitian Operators

  • Spectral Theory of Hermitian Operators: The Discrete Spectrum

  • Observables and Statistical Distributions

  • The Continuous Spectrum

  • The Generalized Uncertainty Principle for Dynamical Variables