PHYS2DQuiz7Solutions

PHYS2DQuiz7Solutions - 1a.) Write down the wave functions...

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Unformatted text preview: 1a.) Write down the wave functions and energies for the states n=1 and n=2. ? ? = 2 sin ? 2 ; ? = ? 2 2 2 2 2 Using the trig identity: sin a + b = sin a cos b + sin b cos (a) ? ? = 2 sin ? cos ? 2 + cos ? sin ? 2 ? 1 = 2 cos ; 1 = 2 2 2 2 ? 2 = 2 sin 2 ; 2 = 4 2 2 2 2 1b.) write down the values of x at which the probability of finding the particle is greatest. maxima occur when, ? ? = 0 ? 1 = 2 sin = 0 ,1 = ? , 2 ? 2 ,1 = 0 ? 2 = 2 2 cos 2 = 0 ,2 = ? + 1 2 2 , 2 ? + 1 2 2 2 ,2 = 4 1c.) Calculate < p >, < p 2 >, and p for each of these states....
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PHYS2DQuiz7Solutions - 1a.) Write down the wave functions...

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