Use the Heisenberg uncertainty principle to estimate the
uncertainty in momentum resulting from confining an electron to an
atom (~10-10 m) and to the size of an atomic nucleus
(~10-15 m). Calculate the corresponding uncertainty in
the energy (in eV) of the confined electron and briefly comment on
the physical implications of your results.
Use the Heisenberg uncertainty principle to calculate Δx for an
electron with Δv = 0.380 m/s.
By what factor is the uncertainty of the (above) electron's
position larger than the diameter of the hydrogen atom? (Assume the
diameter of the hydrogen atom is 1.00×10-8 cm.)
Use the Heisenberg uncertainty principle to calculate Δx for a
ball (mass = 108 g, diameter = 7.90 cm) with Δv = 0.380 m/s.
The uncertainty of the (above) ball's position is equal to what...
The most basic explanation for the Heisenberg Uncertainty
Principle is that the momentum and position of a quantum particle
is not very distinct when an attempt is made to measure them
together. But what is it that causes the uncertainty? Because if
there is no change in the momentum, then it would be the same as
measuring the two separately. So what causes this change in the
instantaneous perceived momentum. A change in mass? Velocity? Or
net composition of the...
One form of the Heisenberg Uncertainty Principle is
ΔxΔpx ≥ h/4π, where Δx is the uncertainty in the
system’s location and Δpx is the uncertainty in the
system’s momentum along the same coordinate axis. Use this equation
to show that exact knowledge of the system is not possible.
True or False.
(a) According to the Heisenberg Uncertainty Principle, it is
impossible to know simultaneously both the exact
momentum of the electron and its exact location in space.
Answer: ____________
(b) According to Born, taking the square root of ψ would give the
probability of finding the electron in a certain
region of space at a given time.
Answer: ____________
(c) Based on the results from blackbody radiation, Max Planck
assumed that energy can only be emitted in
discrete...
Which experiment setup can you demonstrate the existence of the
"Heisenberg uncertainty principle" in the Laboratory you work?
Describe in detail how you can demonstrate the principle in
question.
Consider the asymmetric 1/2 harmonic oscillator. use the
Variational Principle to estimate the ground state energy of this
potential. Use as your trial function Axe^bx^2
Explain why in the case of the quantum harmonic oscillator the wave
function can cross the potential barrier and why does the same not
happen in the case of the infinite potential well?
Explain in detail