preceding problems to calculate the product of the uncertainties in
the position and momentum of the particle in the first state
excited of the considered system. (b) Compare with the product of
uncertainties when the particle is in the lowest energy state of
the exercise 3 system ΔxΔp = 0,57h). Explain why the products of
uncertainties are different.
- 1 Use The Quantities Calculated In The Two Preceding Problems To Calculate The Product Of The Uncertainties In The 1 (3.36 KiB) Viewed 31 times
V(x) illustrated in Fig. below, which has a rectangular region of
depth V0 and width a, in which the particle may be
bound. These parameters are related to the mass m of the particle
in such a way that the lowest energy state possible E1
is at an energy of approximately V0/4 above the
"bottom". use qualitative arguments to make an outline of the
approximate form of the corresponding eigenfunction 𝛹1
(x).
- 1 Use The Quantities Calculated In The Two Preceding Problems To Calculate The Product Of The Uncertainties In The 2 (2.5 KiB) Viewed 31 times
top of the figure below. (which of the three potentials illustrated
at the bottom of the figure could lead to such a eigenfunction ?
give arguments qualitative that justify its answer.
(b) The eigenfunction shown is not the corresponding to the
lowest energy state possible to the potential. draw a sketch of the
form of the eigenfunction that corresponds to the lowest
energy.
(c) Indicate in another sketch the range of energies in which
you would expect possible energy states discrete and the range of
energies in which you would expect that the energy states possible
were distributed continuously.
- 1 Use The Quantities Calculated In The Two Preceding Problems To Calculate The Product Of The Uncertainties In The 3 (18.21 KiB) Viewed 31 times
V(x) v. E. X -a/2 / 0 +a/2
V(x) V(x) x 0 V(x) X 0 V(x) X 0