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Fund Quantum Mechanics Lect &amp; HW Solutions 65

# Fund Quantum Mechanics Lect &amp; HW Solutions 65 - 4.3...

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4.3. EXPECTATION VALUE AND STANDARD DEVIATION 47 or multiplying out ( 2p x | 2p x ) = 1 2 ( ( ψ 211 | ψ 211 ) + (− ψ 211 | ψ 21 1 ) + ( ψ 21 1 | − ψ 211 ) + ( ψ 21 1 | ψ 21 1 ) ) or using the orthonormality of ψ 211 and ψ 21 1 . ( 2p x | 2p x ) = 1 2 (1 + 0 + 0 + 1) = 1 . For the state 2p y , remember that i comes out of the left side of the inner product as i: ( 2p y | 2p y ) = i 2 2 ( ψ 211 + ψ 21 1 | ψ 211 + ψ 21 1 ) The rest goes the same way. 4.3 Expectation Value and Standard Deviation 4.3.1 Statistics of a die 4.3.1.1 Solution esda-a Question: Suppose you toss a coin a large number of times, and count heads as one, tails as two. What will be the expectation value? Answer:
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