Maxwell's or Schrodinger's Light Wave

In summary, the confusion between Maxwell's waves and Schrodinger's waves in the double-slit experiment and the Three Polarizer Paradox stems from the limitations of using classical physics in smaller and smaller spaces. Schrodinger's equation serves as a workaround for this lack of detailed information about the behavior of charges in these situations. While both Maxwell's equations and quantum mechanics accurately predict the results in these experiments, the paradox arises from the non-intuitive nature of the classical explanation for single photons.
  • #1
RonLevy
16
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In attempting to explain QT to interested students, it seems like light waves in the double-slit experiment, and in the Three Polarizer Paradox seem "mixed-up" about whether you are dealing with one of Maxwell's waves, or one of Schrodinger's waves. Which is it?-And how can we know? Einstein called the waves of Schrodinger's equation "A ghost field" since they are probability waves. Please explain this apparent confusion between the real wave and the ghost wave.
 
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  • #2
RonLevy said:
In attempting to explain QT to interested students, it seems like light waves in the double-slit experiment, and in the Three Polarizer Paradox seem "mixed-up" about whether you are dealing with one of Maxwell's waves, or one of Schrodinger's waves. Which is it?-And how can we know? Einstein called the waves of Schrodinger's equation "A ghost field" since they are probability waves. Please explain this apparent confusion between the real wave and the ghost wave.
I'm just a student that didn't even take QM yet. My thoughts: The double slit phenomena can both be explained by classical physics (what you call Maswell's waves) and QM (what you call Schrodinger's waves). Both models predict accurate results so both are a valid way to explain the double slits experiment.
 
  • #3
The problem with using Maxwell's equations for a single photon or a small collection of single photons interacting with a small collection of molecules in the polarizers or barrier is that to get accurate solutions you need an accurate model of the charges. In smaller and smaller spaces a point model for the charge becomes less and less accurate apparently. A more accurate model for a charge probably requires a 3D spatial extension and a consideration of how energy flows around and is affected by the charge.

Schrödinger's equation could be interpreted as makeshift model or workaround for the lack of detailed information about how the charge looks and behaves interacting with other particles or energy.
 
  • #4
PhilDSP said:
The problem with using Maxwell's equations for a single photon or a small collection of single photons interacting with a small collection of molecules in the polarizers or barrier is that to get accurate solutions you need an accurate model of the charges. In smaller and smaller spaces a point model for the charge becomes less and less accurate apparently. A more accurate model for a charge probably requires a 3D spatial extension and a consideration of how energy flows around and is affected by the charge.

Schrödinger's equation could be interpreted as makeshift model or workaround for the lack of detailed information about how the charge looks and behaves interacting with other particles or energy.

Schrodingers equation is induced from the results so its really more of a its maths stupid! Answer to the light spectra.
 
  • #5
Maxwell's waves are useful in a lot of situations and can be used to calculate the interference pattern in the double-slit experiment and the light intensity in the Three Polariser 'Paradox'.

There is no actual paradox, because Maxwell's equations correctly predict the light intensity. I think the reason it is called a paradox is because it seems non-intuitive.

Quantum mechanics also correctly predicts the interference pattern of the double-slit experiment and the intensity in the Three Polariser experiment.

So the classical equation gives the same answer as the quantum equations. This is because the experiments are within the classical limit. As soon as we start talking about single photons, we leave the classical limit. For example, maxwell's waves don't explain the photoelectric effect.
 

FAQ: Maxwell's or Schrodinger's Light Wave

What is Maxwell's Light Wave Theory?

Maxwell's Light Wave Theory, also known as Maxwell's Electromagnetic Theory, is a scientific theory developed by James Clerk Maxwell in the 19th century. It explains the behavior of light as an electromagnetic wave, and is considered one of the most important theories in physics.

What is Schrodinger's Light Wave Theory?

Schrodinger's Light Wave Theory, also known as Wave Mechanics, is a quantum mechanical theory developed by Erwin Schrodinger in the 1920s. It describes the behavior of light as a wave function, and is used to understand the behavior of subatomic particles.

What is the difference between Maxwell's and Schrodinger's Light Wave Theories?

The main difference between these two theories is that Maxwell's theory explains light as an electromagnetic wave, while Schrodinger's theory describes it as a quantum wave function. Maxwell's theory is used to understand the behavior of light on a macroscopic level, while Schrodinger's theory is used to understand the behavior of light on a microscopic level.

Which theory is more widely accepted in the scientific community?

Both Maxwell's and Schrodinger's Light Wave Theories are widely accepted in the scientific community. Maxwell's theory is used in classical physics and electromagnetism, while Schrodinger's theory is used in quantum mechanics. Both theories have been extensively tested and have been proven to accurately describe the behavior of light.

How do Maxwell's and Schrodinger's Light Wave Theories impact our understanding of light?

Maxwell's and Schrodinger's Light Wave Theories have greatly contributed to our understanding of light and its behavior. These theories have helped us understand the dual nature of light as both a wave and a particle, and have paved the way for advancements in technology, such as lasers and fiber optics. They also continue to be studied and applied in various fields, such as optics, telecommunications, and quantum computing.

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