I Can you identify these equations?

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The discussion centers on identifying two equations believed to be related to physics, specifically involving Planck's constant and the speed of light. The top equation is identified as the Dirac equation for a charged particle in a vector potential, while the bottom equation is suggested to represent the time-reversal operator. Participants express uncertainty about the equations' meanings and seek clarification. There is a mention of gamma factors in relation to the equations, indicating a complexity that some find challenging to understand. Overall, the conversation highlights the need for further explanation and verification of the equations' roles in physics.
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I have come across these equations elsewhere, but the context didn't give anything away about what they actually are. I assume they're both from a similar area, but that may not be necessarily true.

I guess they're physics equations because of the presence of Planck's constant and c (speed of light?)

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That's Dirac equation of a charged particle in a vector potential ##A## and scalar potential ##eA_0(x)##. I hope there are other members correcting me in case I am wrong or add something.
 
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Thanks, is that just the top one, and is the bottom one involved as well? I had a look at Wikipedia and it seemed to involve gamma in some way, but it is well beyond my level of understanding.
 
Luxor123 said:
Thanks, is that just the top one, and is the bottom one involved as well? I had a look at Wikipedia and it seemed to involve gamma in some way, but it is well beyond my level of understanding.
About the top equation, I agree with blue_leaf77. The bottom one seems to be the definition of time-reversal operator to me where ## \hat K ## is the complex conjugation operator.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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