wave function (x,t). Consider a particle described by a time-independent, Gaussian wavefunction:(x) = Ne-ax²where a is a positive constant.a) Find the normalization constant N using )* (x)Þ(x)dxcomplex conjugate of . You can choose N to be real. In this case, ý is also real: * = b.1, where * is theb) Determine the mean value of the position x of the particle:a/* (x)x½(x)dx.c) Determine the mean value of x2:gi* (x )a²u(x)dx.

Given: A particle described by a time-independent, Gaussian wave function: Ψ(x)=Ne-αx2…

Answered: wave function (x,t). Consider a…

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