Possible Paths and Interference Patterns in the Double Slit Experiment

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In summary, the concept of "all possible paths" according to Richard Feynman means considering the paths through slit A and B, as well as the paths through both A and B individually. The interference pattern can be calculated by adding the amplitudes of these paths and then taking the square of the result. However, it may be easier to solve the Schrödinger equation for the two-slit problem.
  • #1
San K
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Does "all possible paths", per fenyman, mean (say in a single particle double slit):

Slit a & b
or does it mean
slit a & b plus slit a plus slit b

how is the interference pattern calculated?

also when we try to get which way :
Could we say that now some of the paths now are no longer possible/valid and hence no interference pattern?
 
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  • #2
It means that the probability of detection at a given location is calculated by adding the amplitude associated with the path through A (from the emitter to the given location) to the amplitude associated with the path through B, and then taking the square of the absolute value of the result.

I recommend the book "QED: The strange theory of light and matter" by Richard Feynman, and the videos of the lectures that this book is based on.

The interference pattern could in principle be calculated this way, but I suspect that it's easier to just solve the Schrödinger equation for the two-slit problem. I have never calculated it myself though.
 

FAQ: Possible Paths and Interference Patterns in the Double Slit Experiment

What is the meaning of all possible paths?

The meaning of all possible paths refers to the idea that every decision or action we take in life leads us down a certain path, with a multitude of other paths that could have been taken. It represents the endless possibilities and outcomes that exist in our lives.

Why is it important to consider all possible paths?

Considering all possible paths allows us to make more informed decisions and understand the consequences of our actions. It also helps us to be more open-minded and adaptable, as we are aware that there are always other options and opportunities available.

What factors influence the different paths we take?

The paths we take are influenced by a variety of factors, including our personal values, beliefs, experiences, and external influences such as societal norms and expectations. Our choices and decisions are shaped by these factors and ultimately determine the path we end up on.

Can we control the path we take?

While we may not have control over every external factor that influences our paths, we do have the power to make choices and decisions that can alter our course. We can also choose to change our perspective and mindset, which can lead us down a different path.

How do we find meaning in the path we have taken?

Finding meaning in the path we have taken is a personal and subjective experience. It can come from reflecting on our journey, learning from our experiences, and finding purpose and fulfillment in our choices and actions. It is a continuous process of self-discovery and growth.

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