Uncovering the Mystery of Waves of Probability in Quantum Mechanics

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In summary: EM waves back in the 19th century, but why should EM waves in space be exactly analogous to water waves, even if they share some common characteristics like diffraction?
  • #1
darkxponent
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i m studin the quantum mechanics in my second semester. Though i am doing an engg degree but i have deep interest in physics from my high school days. That is the reason i want to grab every why and how of physics.

Shrodinger equations say that every particle has wave asscociated with it. I can well understand this. Then i read the topic called 'waves of what'. Shrodinger said that these are waves of propability. I can understand this waves of propability when shrodingers equations are applied to electron of hydrogen atom but i couldn't imagine light as waves of probability as light are electromagnetic waves and photons are particles. So where are the waves of probability of light?

I couldn't find the answer to this question in my book. Any explanation would be helpfull
 
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  • #2
Yes all atomic scale particles are waves of possibilities including photons (the complete electromagnetic spectrum ie: radio waves, x rays, gamma rays, light rays).

What you should be asking is on 'what' do the waves travel on when they go through the vacuum of space(thought for many years to be completely empty). =)
 
  • #3
The magnitude of electromagnetic wave can consider as the magnitude of amplitude of probability wave of photons.
 
  • #4
are you saying that photons are responsible for electric and magnetic field in EMWs. Can photons generate electric/magnetic field? It is a chargeless particle.
 
  • #5
photons are electromagnet fields.
 
  • #6
Rather EMR is made from photons.
 
  • #7
All atomic particles are waves of possibilities, Schrodinger's work is centralized around the wave-functions and wave-like properties of subatomic particles. I suggest looking into the work of Louis de Broglie if you're really interested in things like this. :)
 
  • #8
darkxponent said:
i m studin the quantum mechanics in my second semester. Though i am doing an engg degree but i have deep interest in physics from my high school days. That is the reason i want to grab every why and how of physics.

Shrodinger equations say that every particle has wave asscociated with it. I can well understand this. Then i read the topic called 'waves of what'. Shrodinger said that these are waves of propability. I can understand this waves of propability when shrodingers equations are applied to electron of hydrogen atom but i couldn't imagine light as waves of probability as light are electromagnetic waves and photons are particles. So where are the waves of probability of light?

I couldn't find the answer to this question in my book. Any explanation would be helpfull

darkxponent,

Firstly, you don't have to apply wavefunctions to macroscopic waves of light. They're simply too large, the effects of quantum mechanics are most notable at subatomic scales. We're more concerned with the photons comprising the light.

Remember, in quantum mechanics, you can never think of an individual particle, such as a photon, like a particle or a wave. The Heisenberg Uncertainty Principle states that there is an inverse relationship between your knowledge of position and momentum, so that particles have a strange 'wave-particle duality', according to the Copenhagen Interpretation.

You can think of the photon as taking several paths at once, most centered around the most probable region of finding located. This makes up, and evolves like, a wave. A probability wave, known in the field as a wavefunction.
 
  • #10
Thanks for the link goodison_lad. That helped a lot.

So Light are photons. And just like every particle its has position-momentum uncertainity and hence have its wave of probability. The Electric and Magnetic fields are property of photons only. And photons are simple particles only. The reason why they can't travel below speed of light is because of there zero rest mass. The property of generating Elecric and Magnetic field makes them force carriers. And light is similar to other force carriers like the strong and weak force particles.

That is what i am getting is that right?
 
  • #11
Think so, except it's not similar to all other force carriers. Gluons I'll ignore for the time being. The W and Z bosons, plus mesons, are what I'm thinking about. Some mesons are actually considered force carriers of extensions of the fundamental force. Anyways, these mesons and W and Z bosons do not have no rest mass, and thus do not move at c.
 
  • #12
aren't waves and particles just platonic concepts like triangles and cubes, abstractions that do not really exist other than conceptually? (i.e. as defined by geometry, no squares exist in the universe)

the concept of wave comes from water waves and other movements of energy through a medium - which is why everyone thought there had to be an ether to propagate EM waves back in the 19th century, but why should EM waves in space be exactly analogous to water waves, even if they share some common characteristics like diffraction?

the concept of a particle is totally platonic - its just an abstraction

if the characteristics of quanta as described by QM is reality, why worry about preconceived definitions or particles or waves?
 
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  • #13
All physical concepts are abstractions: whether or not 'reality' is really exactly like a physics model can never be answered and the question might have no meaning. Einstein said "The most incomprehensible thing about the world is that it is comprehensible", and was always amazed that humans were able to come up with anything at all that appeared to describe how Nature works.

All we can say is whether a theory we construct leads to testable predictions. If it does, and the predictions are verified, we adopt it as a good theory. If not, we either modify it or abandon it. Ultimately all we can say is that certain phenomena behave as if they are these things we've previously identified and described as waves, while others behave as if they are things we have previously identified and described as particles.

As for the 'reality' of electron waves or the like, most physicists are content to just let the maths do the talking. This goes for a lot in quantuim mechanics, summarised by David Mermin's statement 'shut up and calculate'.
 

1. What is quantum mechanics?

Quantum mechanics is a branch of physics that deals with the behavior of particles on a microscopic level. It describes how particles, such as atoms and subatomic particles, interact with each other and how they behave under certain conditions.

2. What are waves of probability in quantum mechanics?

Waves of probability, also known as probability waves or wave functions, are mathematical descriptions of the likelihood of finding a quantum particle in a specific location at a specific time. They represent the uncertainty and unpredictability of a particle's exact position and momentum at any given moment.

3. How do waves of probability differ from classical waves?

Classical waves, such as sound or light waves, can be described by specific equations and can be measured precisely. Waves of probability, on the other hand, cannot be measured directly and can only be described by mathematical equations that give the probability of finding a particle at a certain location.

4. What is the significance of waves of probability in quantum mechanics?

Waves of probability are a fundamental concept in quantum mechanics and play a crucial role in understanding the behavior of particles. They explain the phenomenon of superposition, where particles can exist in multiple states simultaneously, and also allow us to make predictions about the behavior of particles.

5. How are waves of probability observed in experiments?

Waves of probability cannot be directly observed, but their effects can be observed through experiments. For example, the famous double-slit experiment demonstrates the wave-like behavior of particles by showing how they can interfere with each other, creating patterns of probabilities on a screen. Other experiments, such as the quantum eraser experiment, also show the effects of probability waves on the behavior of particles.

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