The Super Quick Spin: What Fraction Stagger Right Through?

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SUMMARY

The discussion centers on calculating the probability of a fraction staggering right through in a quantum mechanics context. The user initially calculates the probability as 1/16, based on the probabilities of passing through two states, |1,x> and |-1,z>, each with a probability of 1/4. After reevaluating, they suggest a revised calculation of 1/48, indicating a deeper exploration of quantum state measurements and their implications on probability outcomes.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically state measurements.
  • Familiarity with probability calculations in quantum systems.
  • Knowledge of quantum states notation, such as |1,x> and |-1,z>.
  • Basic grasp of fractions and their manipulation in mathematical contexts.
NEXT STEPS
  • Research quantum mechanics state measurement techniques.
  • Explore advanced probability theory as applied to quantum systems.
  • Study the implications of quantum entanglement on measurement outcomes.
  • Learn about the mathematical representation of quantum states and their transformations.
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Students and professionals in physics, particularly those focused on quantum mechanics, as well as mathematicians interested in probability theory applications in quantum contexts.

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Homework Statement



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The Attempt at a Solution



So I'm trying to answer the final q - what fraction stagger right through?

The answer I get is 1/16... is this right? It just seems quite small..

My reasoning was that the probability of getting through the first is 1/4 and then if its in the state |1,x> the probability of measuring |-1,z> is also a quarter.. therefore it is 1/4 times 1/4 i.e. 1/16 right?
 

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Sorry. it should be 1/3 times 1/16 right?

so 1/48?

Thanks
 

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