Unformatted text preview: x,t ) | 2 as time goes on? (d) Find h x i , h p i , h x 2 i , h p 2 i , σ x and σ p . (e) Does the uncertainty principle hold? At what time t does the system come closest to the uncertainty limit? 3. A particle of mass m in the inﬁnite square well (of width a ) is (at t = 0) equally likely to be found at any point in that region. (a) What is its initial wave function, Ψ( x, 0)? (Assume it is a real function.) (b) What is the probability that a measurement of the energy would yield the value π 2 ¯ h 2 2 ma 2 . —— End ——...
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- Spring '11
- mechanics, Uncertainty Principle, initial wave function