Question: A free particle has the initial wave function ( x, 0 ) = Ae -alxl , where A and a are positive real constants

A free particle has the initial wave function

Ψ ( x, 0 )  =  Ae-alxl , where A and a are positive real constants

1. Normalize Ψ ( x, 0 )

2. Find Φ ( k )

3. Construct Ψ ( x, t ), in the form of an integral

4. Discuss the limiting cases ( a very large, and very small )

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