d) The operator of the r-component of the momentum of the particle is given by (-ih). Accordingly, -ih)- = Prv. Determine the mean value of the momentum pr of the particle: Pz = * (#)(-ih)v(x)dr. e) Determine the mean value of p?: 第= * (xr)(-ih)². dr2 (x)dr.
d) The operator of the r-component of the momentum of the particle is given by (-ih). Accordingly, -ih)- = Prv. Determine the mean value of the momentum pr of the particle: Pz = * (#)(-ih)v(x)dr. e) Determine the mean value of p?: 第= * (xr)(-ih)². dr2 (x)dr.
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N was found to be (2)1/2 (alpha/pi )1/4
Transcribed Image Text:d) The operator of the r-component of the momentum of the particle is given by (-ih).
Accordingly,
-ih)- = Prv.
Determine the mean value of the momentum p, of the particle:
Pz = * (#)(-ih)v(2)dr.
e) Determine the mean value of p?:
V*(x)(-ih)².
dr2 (x)dr.
Transcribed Image Text:wave function (x, t). Consider a particle described by a time-independent, Gaussian wave
function:
(x) = Ne-az²,
where a is a positive constant.
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