Circle or polygon for charged particle in magnetic field....

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SUMMARY

A charged particle moving perpendicular to a magnetic field describes a circular path according to classical physics. However, quantum mechanics introduces complexity, as the particle does not have a uniquely defined trajectory. The discussion highlights that while the particle may appear to trace a circle macroscopically, it effectively follows a polygonal path at a quantum level due to discrete changes in direction caused by the magnetic field.

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  • Understanding of classical mechanics, specifically circular motion.
  • Familiarity with quantum mechanics and the concept of particle trajectories.
  • Knowledge of magnetic fields and their effects on charged particles.
  • Basic grasp of the differences between classical and quantum physics.
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  • Study classical mechanics of circular motion in magnetic fields.
  • Explore quantum mechanics principles related to particle trajectories.
  • Investigate the effects of magnetic fields on charged particles in detail.
  • Learn about the concept of quantization in physics.
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Students and professionals in physics, particularly those focusing on electromagnetism and quantum mechanics, as well as educators seeking to explain the behavior of charged particles in magnetic fields.

Sven Andersson
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...perpendicular to its path? OK; let's say you have any charged particle moving perpendicular to a magnetic field; does it describe a gigantic polygon or a perfect circle? I think it's a polygon; the particle absorbs a "quantum of force" from the magnetic field, so to speak, and changes direction. It then travels some distance in a straight line and then the process is repeated. Of course the length of a side is incredibly small and macroscopically it will look like a circle.

S.A.
 
Physics news on Phys.org
Classically, it is a circle.
Quantum mechanically, a unique trajectory for the particle cannot even be defined.
 

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