Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find...

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants

a) find the normalized wave function Φ(p) un the momentum space associated to Ψ(x)

b) use Φ(p) yo compute the expected values for p, p², and σ_p

c) verify if this state fulfills the Heisenberg uncertainty principle

Expert Solution

All the parts have been attempted. The expectation values of <x> and <x^2>, though not asked in the question, are important to prove the uncertainty principle. Thus, they have been discussed in brief and the integrals involved can be solved very easily.

genius_generous answered 2 years ago

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Question

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find...

Solutions

Expert Solution

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