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Problem 2.20 A free particle has the initial wave function Y (r, 0) = Ae-alxl. where A and a are positive real constants. (a) Normalize V (x, 0). (b) Find ø(k). (c) Construct Y (x, t), in the form of an integral. (d) Discuss the limiting cases (a very large, and a very small).

Problem 2.20 A free particle has the initial wave function Y (r, 0) = Ae-alxl. where A and a are positive real constants. (a) Normalize V (x, 0). (b) Find ø(k). (c) Construct Y (x, t), in the form of an integral. (d) Discuss the limiting cases (a very large, and a very small).

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Problem 2.20 A free particle has the initial wave function Y (r, 0) = Ae-alxl. where A and a are positive real constants. (a) Normalize V (x, 0). (b) Find ø(k). (c) Construct Y (x, t), in the form of an integral. (d) Discuss the limiting cases (a very large, and a very small).
Transcribed Image Text:Problem 2.20 A free particle has the initial wave function Y (r, 0) = Ae-alxl. where A and a are positive real constants. (a) Normalize V (x, 0). (b) Find ø(k). (c) Construct Y (x, t), in the form of an integral. (d) Discuss the limiting cases (a very large, and a very small).
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