Understanding wave particle duality

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SUMMARY

This discussion centers on wave-particle duality and its relationship with Einstein's mass-energy equivalence equation, E=mc². The participant proposes that particles exist in a state of equilibrium between energy and mass, manifesting as either a wave or a particle depending on the method of observation. They highlight that wave-particle duality applies to both massive and massless particles, such as photons, and reference the equation E=(p²c²+m²c⁴)¹/2 as a more general formulation. The distinction between relativistic phenomena and quantum phenomena is emphasized, particularly in relation to de Broglie's relationship, p=h/λ.

PREREQUISITES
  • Understanding of wave-particle duality in quantum mechanics
  • Familiarity with Einstein's mass-energy equivalence, E=mc²
  • Knowledge of de Broglie's relationship, p=h/λ
  • Basic concepts of quantum physics and relativistic physics
NEXT STEPS
  • Research the implications of wave-particle duality in quantum mechanics
  • Study the derivation and applications of de Broglie's relationship, p=h/λ
  • Explore the differences between quantum phenomena and relativistic phenomena
  • Investigate the general equation E=(p²c²+m²c⁴)¹/2 and its significance in physics
USEFUL FOR

Students of physics, educators in quantum mechanics, and anyone interested in the foundational concepts of wave-particle duality and mass-energy equivalence.

i.h87
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I haven't studied physics, but I've had this thought in my head lately and I want to get it out. I'm hoping someone here can either help me understand this or set me straight if I'm on the wrong track.

I've been mulling over wave particle duality in my head, and I realized that Einstein sort of showed us a duality as well in E=mc2.

Basically, I'm wondering if while no one is really observing a particle it is present in an equilibrium of energy and mass potential, so it is a wave and a particle at the same time, but when you try to observe it via its mass the energy is converted to mass temporarily, so that the wave form collapses. Conversely if we had a way to observe the particle by its energy, then the mass would be converted to energy and temporarily the particle would disappear - leaving us with a wave.

I'm thinking its balanced between energy and mass normally, but if you check one side of the duality then you force all of the potential energy to that side of the duality and end up with a wave or a particle.

Does that make any sense at all? Are wave/particle duality and E=mc2 related? Am I totally thinking in the wrong direction?
 
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I would just point out that wave-particle duality applies not only to massive particles but also massless particles like photons. But both can be described by the more general equation E=(p2c2+m2c4)1/2. (From which you can derive the limiting form E=mc2).

In my opinion, E=mc2 reflects mass-energy equivalence, which is a relativistic phenomenon, while wave-particle duality is a quantum phenomenon, so you're free to read as deeply into both of them as you'd like, but it's important to keep them straight.

BTW, I think the equation that best reflects wave-particle duality on a basic level is de Broglie's relationship p=h/λ.
 
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