- Part B Please 1 (82.03 KiB) Viewed 25 times
part b please
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answerhappygod
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part b please
part b please
In this problem we will calculate the average and spread of position and momentum of a particle in 3-D. Consider a particle of mass M prepared in the state V(x, y, z) = abenn - (2-²2 +1²+(²-20)²) iky (1) a) Show that is normalised. b) Compute (x), (y), (z), (x²), (y²), (2²), (Pr), (Py), (Pz), (p²), (p²), (p²). c) Compute the spreads Ax, Apa, Ay, Apy, Az, Apz. d) Compute the product AxApz Show that by choosing suitably the parameters a and c, this product can be made as small as we wish, hence there is no uncertainty relation between them (that is, we can make both x and pz as well defined as we want.
In this problem we will calculate the average and spread of position and momentum of a particle in 3-D. Consider a particle of mass M prepared in the state V(x, y, z) = abenn - (2-²2 +1²+(²-20)²) iky (1) a) Show that is normalised. b) Compute (x), (y), (z), (x²), (y²), (2²), (Pr), (Py), (Pz), (p²), (p²), (p²). c) Compute the spreads Ax, Apa, Ay, Apy, Az, Apz. d) Compute the product AxApz Show that by choosing suitably the parameters a and c, this product can be made as small as we wish, hence there is no uncertainty relation between them (that is, we can make both x and pz as well defined as we want.
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