rwooduk said:when calculating the momentum expectation value the term i(h-bar)d/dx goes inbetween the complex PSI and the 'normal' PSI, so do you differentiate the normal PSI and then multiply by the complex PSI?
vanhees71 said:Another hint:
[tex]\hat{p}=-\mathrm{i} \frac{\mathrm{d}}{\mathrm{d} x}.[/tex]
Note the sign!
Momentum expectation value is a measure of the average momentum of a particle or system. It is calculated by multiplying the momentum of each possible state by its probability and summing these values.
Momentum expectation value is calculated by taking the integral of the momentum operator with respect to the wave function. This integral is then divided by the integral of the wave function itself.
Momentum expectation value is an important quantity in quantum mechanics as it provides information about the average momentum of a particle or system. It is also used to calculate other important properties such as the uncertainty in momentum.
Yes, momentum expectation value can be negative. This means that the system is more likely to have a negative momentum than a positive one. However, the magnitude of the negative value is still a measure of the average momentum of the system.
Momentum expectation value is related to Heisenberg's uncertainty principle in that it is used to calculate the uncertainty in momentum. According to the uncertainty principle, the more precisely we know the momentum of a particle, the less precisely we can know its position, and vice versa. Momentum expectation value helps to quantify this relationship.