What is the significance of the number 137 in quantum physics?

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SUMMARY

The number 137 is significant in quantum physics as it relates to the fine structure constant (α), which is approximately 1/137.036 and determines the strength of electromagnetism. This constant is intricately linked to fundamental constants, including the Rydberg constant and the binding energy of the electron in hydrogen. The discussion highlights the misconception that the fine structure constant can be used to calculate electron mass, clarifying that it actually allows for the calculation of the Rydberg constant based on known electron mass.

PREREQUISITES
  • Understanding of the fine structure constant (α)
  • Familiarity with quantum physics concepts
  • Knowledge of the Rydberg constant
  • Basic principles of electromagnetism
NEXT STEPS
  • Research the implications of the fine structure constant in quantum electrodynamics
  • Explore the relationship between the Rydberg constant and electron mass
  • Study the historical context of the number 137 in physics
  • Investigate the role of fundamental constants in quantum mechanics
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Physicists, quantum mechanics students, and anyone interested in the foundational principles of electromagnetism and quantum theory.

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What is the significance of the number 137 in quantum physics??

What is the significance of the number 137 in quantum physics??
 
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The fine structure constant (roughly 1/137) basically sets how strong electromagnetism is
 


We wanted it to be 1337 but that was already taken :biggrin:
 


"It would be less unsettling if the relationship between all these important concepts turned out to be one or three or maybe a multiple of pi, but 137?"

This is a pretty strange comment, because it strongly suggests that the number is exactly 137. If it had been exactly pi (or exactly anything that's defined in a completely different context), that would have been a lot more remarkable than the actual fact, which is that the fine structure constant is approximately 1/137.036.
 


This may help show the physical significance of the factor 137.

mc2 = 511,000 eV = 2·1372·13.6 eV

where 13.6 eV is the binding energy of the electron in the hydrogen atom, and mc2 is the rest mass of the electron.

Bob S
 


That's so misleading I have to jump in. The fine structure constant is absolutely not a way to calculate the electron mass given the Rydberg constant: it's a way of calculating the Rydberg constant given the electron mass.
 

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