Is Pilot Wave Theory in Conflict with the Original Matter Wave Theory?

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SUMMARY

Pilot Wave Theory, as proposed by Louis de Broglie, serves as the original framework for understanding matter waves. The discussion clarifies that in this theory, the velocity (v) of a particle is continuous and represents the particle's motion, while the wave functions as a guiding mechanism rather than being directly associated with the particle. This interpretation emphasizes that the wave's role is to guide the particle through space, thereby maintaining the integrity of de Broglie's original matter wave theory. The distinction between group velocity and phase velocity is also highlighted, reinforcing the theory's foundational concepts.

PREREQUISITES
  • Understanding of Pilot Wave Theory
  • Familiarity with de Broglie's matter wave theory
  • Knowledge of wave-particle duality
  • Basic grasp of quantum mechanics concepts
NEXT STEPS
  • Research the implications of Pilot Wave Theory on quantum mechanics
  • Explore the differences between group velocity and phase velocity in wave mechanics
  • Study the mathematical formulation of de Broglie's matter wave theory
  • Read the paper on quantum mechanics fundamentals at arxiv.org
USEFUL FOR

Physicists, quantum mechanics students, and anyone interested in the foundations of wave-particle duality and the implications of Pilot Wave Theory.

phyky
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1. v=∇S/m is still discrete? i mean the motion of particle still quanta or continuous?
2. so v is the velocity of the particle(group) or wave(phase velocity)?
3. ∇S can be find by measure the velocity of wave or particle?
4. So the wave is not longer associated with particle (wave particle duality)but guide the particle in the space?
5. the idea contradict his original matter wave theory?
 
Physics news on Phys.org
1. Velocity v is continuous.
2. v is the velocity of the particle. (Note, however, that group velocity is a velocity of a wave.)
3. Particle.
4. Wave guides the particle in space.
5. Pilot wave theory is the original de Broglie matter wave theory.

I would also suggest you to read some basics, such as
http://arxiv.org/abs/quant-ph/0611032
 

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