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Bohr's Complementarity in Quantum Mechanics

Jun 7, 2025

Overview

This lecture introduces Bohr’s principle of complementarity, a key idea in quantum mechanics explaining how quantum particles show both wave and particle behavior but never at the same time.

Bohr's Principle of Complementarity

  • Proposed by Niels Bohr to explain the wave-particle duality of quantum objects like electrons and photons.
  • Quantum objects exhibit either wave-like or particle-like behavior depending on the experiment, but not both simultaneously.
  • This principle highlights the limitations of classical physics in describing atomic and subatomic phenomena.
  • Complementarity extends to other property pairs, such as position and momentum or energy and time.

Relation to Uncertainty Principle

  • Measuring one property (e.g., position) precisely means the other property (e.g., momentum) cannot be measured precisely at the same time.
  • This is a manifestation of Heisenberg’s uncertainty principle.
  • The limitation in simultaneous measurement emphasizes unique aspects of quantum systems.

Impact on Quantum Mechanics

  • Bohr's principle was central in shaping the Copenhagen interpretation of quantum mechanics.
  • The Copenhagen interpretation stresses the importance of observation and measurement in affecting quantum systems.
  • The act of measurement influences the outcome, underscoring the observer's role.

Key Terms & Definitions

  • Principle of Complementarity — The concept that quantum objects can display either wave-like or particle-like properties, but not both at once.
  • Wave-Particle Duality — The phenomenon where particles such as electrons show both wave and particle behavior.
  • Uncertainty Principle — Heisenberg's principle stating that certain pairs of properties (like position and momentum) cannot both be precisely known at the same time.
  • Copenhagen Interpretation — A major interpretation of quantum mechanics highlighting the effect of measurement on quantum systems.

Action Items / Next Steps

  • Review examples of wave-particle duality (e.g., double-slit experiment).
  • Read more on the Copenhagen interpretation and the uncertainty principle.