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Analogies between optical and quantum mechanical angular momentum.

Gerard Nienhuis1

  • 1Huygens-Kamerlingh Onnes Laboratory, Leiden University, PO Box 9504, 2300 RA Leiden, The Netherlands nienhuis@physics.leidenuniv.nl.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 11, 2017
PubMed
Summary
This summary is machine-generated.

Light beams carry orbital angular momentum (AM), a concept surprising in 1992 but rooted in Maxwell’s work. This study compares AM densities in different light modes, revealing quantum-like properties in classical optics.

Keywords:
angular momentumoperators in opticsoptical modes

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Area of Science:

  • Physics
  • Optics
  • Quantum Mechanics

Background:

  • The concept of orbital angular momentum (AM) in light beams was discovered in 1992.
  • The existence of momentum and AM in electromagnetic fields has been known since Maxwell's era.

Purpose of the Study:

  • To compare AM density expressions in general 3D and paraxial light modes.
  • To explore the quantum mechanical appearance of classical AM expressions.
  • To discuss analogies between paraxial wave optics and quantum mechanics.

Main Methods:

  • Comparison of AM density formulations for different optical modes.
  • Analysis of classical AM expressions for quantum-like features.
  • Exploration of analogies with quantum mechanics, including wave functions and harmonic oscillators.

Main Results:

  • Classical expressions for AM densities in optical modes exhibit quantum-like characteristics.
  • Paraxial wave optics shows significant analogies with quantum mechanics for free particles and harmonic oscillators.

Conclusions:

  • The study highlights the deep connections between classical electromagnetism and quantum mechanics.
  • Analogies between paraxial optics and quantum mechanics offer new perspectives for applications.