Graduate Does Matter Really Move Like a Wave and Hit Like a Particle?

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SUMMARY

This discussion critically examines the dual nature of matter, specifically addressing the misconception that matter moves like a wave but impacts like a particle. The analogy of water molecules is used to illustrate that while they exhibit wave-like behavior collectively, each molecule behaves as a particle. The conversation emphasizes that measurements of waves are indeed physical, challenging the notion that waves lack physicality. Ultimately, the thread concludes that oversimplifying quantum mechanics leads to misunderstandings, warranting closure due to the reliance on vague assertions.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with wave-particle duality
  • Basic knowledge of physical measurement techniques
  • Concept of collective behavior in physics
NEXT STEPS
  • Research wave-particle duality in quantum mechanics
  • Explore physical measurement techniques in wave phenomena
  • Study the collective behavior of particles in fluid dynamics
  • Investigate misconceptions in popular science explanations of quantum mechanics
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Students of physics, educators in quantum mechanics, and anyone interested in the foundational concepts of wave-particle duality and its implications in modern physics.

elou
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TL;DR
Waves are a perceptual phenomena, not a physical one
This is meant as a challenge to look more closely than we usually do to the concepts of "wave" and "particle". You often hear that matters moves as a wave but hits at a particle, making it sound like a super Mohamed Ali's "move like a butterfly and sting like a bee".
To give a simple example I would say that, as a group, water molecules move like a wave, but each molecule moves like a particle.
 
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We can physically measure waves with physical devices in a variety of physical experiments, so saying that they are not physical is rather unjustifiable.
 
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What is being measured is of course physical. But what is being measured?
We all know that all water molecules do is move up and down, and hardly forward and backward. We certainly see a wave, but if we slowed down our vision a few million times or more, all we would see are individual molecules moving up and down.
 
elou said:
What is being measured is of course physical. But what is being measured?
A wave. What is measured has all of the properties and behaviors that a wave is supposed to have, so it is a wave.

If an object walks like a duck and quacks like a duck and has all of the other properties and behaviors attributed to ducks then it is a duck.
 
elou said:
You often hear that matters moves as a wave but hits at a particle,
Yes, we often hear that. It is an attempt to simplify quantum mechanics by describing quantum mechanics in layman-friendly language, not an accurate explanation of how quantum mechanics works and the role of "waves" in the theory.

Because the starting point of this thread is a misconception we are closing the thread.
OP is reminded of the forum rule about acceptable sources - "will often hear" is not the starting point for an informed discussion..
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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