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23 Nov 2019
Consider an electron in an infinite well of width L and in anenergy eigenstate characterized by the quantum number n. Calculateand . Show that the product is independent of L. How does thisproduct depend on n? Hint: sai=(v(2/l))sin(npx/L) =sai(x2)sai =sai(p2)sai =sai(-ih d/dx)2sai
Consider an electron in an infinite well of width L and in anenergy eigenstate characterized by the quantum number n. Calculateand . Show that the product is independent of L. How does thisproduct depend on n?
Hint: sai=(v(2/l))sin(npx/L)
=sai(x2)sai
=sai(p2)sai
=sai(-ih d/dx)2sai
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