In Dirac notation, after the equation B|ø)=b\¢)is solved, we often write the solutions as {|Pn}} and {bn}. The name given to {b,} is it is the spectrum of the operator B. Essentially problem 5 and problem 6 are describing identical situations. What is the relationship between on (x) and |Pn)? To answer this, give a mathematical answer and a physical interpretation of what it means. Hint: If you do not know how to answer this off the top of your head as being obvious, review my notes on Dirac notation and how vectors are used in quantum mechanics.

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6. In Dirac notation, after the equation Bø) = b|p)is solved, we often write the solutions as {|Øn)} and
{bn}. The name given to {b,} is it is the spectrum of the operator B . Essentially problem 5 and problem
6 are describing identical situations. What is the relationship between pn (x) and |Øn)? To answer this,
give a mathematical answer and a physical interpretation of what it means. Hint: If you do not know how
to answer this off the top of your head as being obvious, review my notes on Dirac notation and how
vectors are used in quantum mechanics.
Transcribed Image Text:6. In Dirac notation, after the equation Bø) = b|p)is solved, we often write the solutions as {|Øn)} and {bn}. The name given to {b,} is it is the spectrum of the operator B . Essentially problem 5 and problem 6 are describing identical situations. What is the relationship between pn (x) and |Øn)? To answer this, give a mathematical answer and a physical interpretation of what it means. Hint: If you do not know how to answer this off the top of your head as being obvious, review my notes on Dirac notation and how vectors are used in quantum mechanics.
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