Consider the wave packet (x) = V(x, t = 0) given by (x) = Ceipox/he-x1/(24x) where...

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Consider the wave packet (x) = V(x, t = 0) given by (x) = Ceipox/he-x1/(24x) where C is a normalisation constant. (a) Normalise (x) to unity. (b) Obtain the corresponding momentum space wave function (px) and verify that it is normalised to unity according to (2.44). (c) Suggest a reasonable definition of the width Apx of the momentum distribution and show that AxApx h. Consider the momentum space wave function 2.2 p(px) = 0, IPx - Pol > Y C, IPx - Poly where C and y are constants. 2 A detailed discussion of the uncertainty principle can be found in Heisenberg's book The Physical Principles of the Quantum Theory (1949). Consider the wave packet (x) = V(x, t = 0) given by (x) = Ceipox/he-x1/(24x) where C is a normalisation constant. (a) Normalise (x) to unity. (b) Obtain the corresponding momentum space wave function (px) and verify that it is normalised to unity according to (2.44). (c) Suggest a reasonable definition of the width Apx of the momentum distribution and show that AxApx h. Consider the momentum space wave function 2.2 p(px) = 0, IPx - Pol > Y C, IPx - Poly where C and y are constants. 2 A detailed discussion of the uncertainty principle can be found in Heisenberg's book The Physical Principles of the Quantum Theory (1949).