What Is the Occurrence Rate of Path Integral in a Photon Double-Slit Experiment?

In summary, the different paths a photon can take in a double slit experiment are described by the path integral. This is an mathematical equation that calculates the probability of a photon being detected at a particular point on a detector.
  • #1
HexHammer
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TL;DR Summary
Double Slit Experiment
Hi forgive my very ignorant question.

How frequently does 'Path Integral', curved shot and normal shot happen out of say 100 shots with a photon?
 
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  • #2
I have no idea what that means.
 
  • #3
HexHammer said:
Path Integral', curved shot and normal shot

What do you mean by these terms?

A reference would help.
 
  • #4
PeterDonis said:
What do you mean by these terms?

A reference would help.
A "normal shot" is when the photon goes straight, but some times it will go in a curve, and then some times it will go in a crazy path making elaborate circles.

It was Richard Feynman that found this. https://en.wikipedia.org/wiki/Path_integral_formulation

Three_paths_from_A_to_B.png
 
  • #5
HexHammer said:
A "normal shot" is when the photon goes straight, but some times it will go in a curve, and then some times it will go in a crazy path making elaborate circles.

These are not descriptions of different ways a photon will go in different runs of a double slit experiment. They are descriptions of paths that are included in the path integral that calculates the probability for a photon to be detected at a particular point on the detector in a single run of the experiment. So the question you are asking in the OP is unanswerable since it's based on a misconception about what the different paths are.
 
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  • #6
PeterDonis said:
These are not descriptions of different ways a photon will go in different runs of a double slit experiment. They are descriptions of paths that are included in the path integral that calculates the probability for a photon to be detected at a particular point on the detector in a single run of the experiment. So the question you are asking in the OP is unanswerable since it's based on a misconception about what the different paths are.
Many thanks, that's all i needed to hear.
 
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What is Path Integral Occurrence?

Path Integral Occurrence is a mathematical tool used in quantum mechanics to calculate the probability of a particle moving from one point to another in space and time. It is based on the principle of least action, which states that a particle will take the path with the least amount of action or energy.

How is Path Integral Occurrence used in quantum mechanics?

In quantum mechanics, Path Integral Occurrence is used to calculate the probability of a particle moving from one point to another. It takes into account all possible paths that the particle could take and calculates the probability of each path occurring. The final result is a sum of all these probabilities, giving the overall probability of the particle's movement.

What is the significance of Path Integral Occurrence?

Path Integral Occurrence is significant because it allows us to calculate the probability of quantum events, which cannot be predicted using classical mechanics. It also provides a deeper understanding of the behavior of particles at the quantum level and has been used in many important theoretical developments in quantum physics.

What are the limitations of Path Integral Occurrence?

One limitation of Path Integral Occurrence is that it can only be applied to systems with a finite number of degrees of freedom. It also becomes increasingly complex when applied to systems with more particles or higher dimensions. Additionally, it can only be used for non-relativistic systems and does not take into account the effects of gravity.

How is Path Integral Occurrence related to Feynman diagrams?

Feynman diagrams are a visual representation of the calculations involved in Path Integral Occurrence. Each line in a Feynman diagram represents a possible path that a particle could take, and the probability of the particle moving from one point to another is given by the sum of all these paths. Feynman diagrams provide a more intuitive understanding of the calculations involved in Path Integral Occurrence.

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