Calculating Total Probability in Hydrogen Atom

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SUMMARY

The discussion focuses on calculating the total probability of finding an electron in a hydrogen atom across different quantum states, specifically varying principal quantum numbers (n values). The probability density function is represented as P(r) = dP/dr = r^2R(r)^2, where R(r) is the radial wave function. The conversation highlights the importance of understanding probability in quantum mechanics, emphasizing that the calculation involves integrating the probability density over a specified volume.

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  • Quantum mechanics fundamentals
  • Understanding of hydrogen atom wave functions
  • Integration techniques in calculus
  • Familiarity with probability density functions
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  • Study the derivation of hydrogen atom wave functions
  • Learn about probability density functions in quantum mechanics
  • Explore integration methods for calculating probabilities
  • Investigate the significance of quantum states and principal quantum numbers
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Students of quantum mechanics, physicists, and anyone interested in the mathematical foundations of atomic structure and probability calculations in quantum systems.

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Homework Statement


In general, how would one calculate total probability/ in Hydrogen atom in two different states (n values)?

Homework Equations


P(r) = dP/dr = r^2R(r)^2?

The Attempt at a Solution


?
 
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That question doesn't even make sense. It's like asking, "How do you calculate the total probability of a pair of dice?"

You calculate the probability of events, e.g., the probability of rolling a 7.
 

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