Elementary Particles: Wave-Like Nature vs Travelling in Wave

In summary, the conversation discusses the wave-like nature of elementary particles and whether or not this implies that they also travel in wave-like trajectories. It is noted that particles can have straight line trajectories and that the wave-like aspect refers to the phase of the wave function. Feynmann's explanation using a clock dial is mentioned. It is also suggested that using color to indicate phase may be more educational. The idea of wave-particle duality is mentioned but it is noted that particles are actually quantum fields. The conversation concludes by mentioning the work of Dirac and Von Neumann and the importance of mathematical rigor in understanding quantum mechanics.
  • #1
Islam Hassan
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When we say that elementary particles are wave-like in nature does that encompass, lead to and necessarily imply the fact that they travel in wave-like trajectories or is wave-like displacement a separate, distinct notion from their wave-like intrinsic natures?

IH
 
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  • #2
The trajectory is not sinusoidal, trajectories can just be straight lines. What the wave refers to is the phase of the wave function. I like Feynmann's explanation in his little book QED where the particles carry a clock dial (that indicates their phase). The relative position of the dial then governs what happens when particles meet: constructive or destructive interference.

It may be more educational to indicate phase with color than with wiggly lines.
 
  • #3
Islam Hassan said:
When we say that elementary particles are wave-like in nature does that encompass, lead to and necessarily imply the fact that they travel in wave-like trajectories or is wave-like displacement a separate, distinct notion from their wave-like intrinsic natures?

Well particles are not wave-like except is some special circumstances ie when in an eigenstate of momentum. What they really are is quantum fields.

This wave-particle duality idea is a left over from the early days of QM and was overthrown when Dirac came up with his transformation theory late in 1926 or when Von Neumann published his classic textbook on it. The choice depends on your attitude to mathematical rigour:
http://www.lajpe.org/may08/09_Carlos_Madrid.pdf

Thanks
Bill
 
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1. What are elementary particles?

Elementary particles are the smallest known particles that make up the universe. They are fundamental building blocks of matter and cannot be broken down into smaller components.

2. What is the wave-like nature of elementary particles?

According to quantum mechanics, elementary particles exhibit both particle-like and wave-like behavior. This means that they can behave like a solid object in some situations, but also exhibit characteristics of a wave, such as interference and diffraction, in others.

3. How do we observe the wave-like nature of elementary particles?

The wave-like behavior of elementary particles can be observed through experiments such as the double-slit experiment, where particles are fired at a barrier with two slits and produce an interference pattern on the other side, similar to how waves behave.

4. How do elementary particles travel in waves?

Elementary particles do not physically travel in waves, but they can be described by wave functions, which represent the probability of finding a particle in a certain location. This is known as wave-particle duality.

5. What is the significance of understanding the wave-like nature of elementary particles?

Understanding the wave-like nature of elementary particles is crucial in understanding the behavior of matter at the smallest scales. It has also led to the development of quantum mechanics, which has revolutionized our understanding of the universe and has practical applications in technology such as transistors and lasers.

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