What would be the result of a kinetic energy measurement on a free quantum particle? (i.e....
What would be the result of a kinetic energy measurement on a free quantum particle?
(i.e. potential energy V(x) = 0) of mass m with a wave-function ψ(x) = e^(-x^2)
A hint for this question:
Consider only the kinetic energy operator. Is the given function an eigenfunction of this operator?
If yes, what will be the result of the measurement?
If not an eigenfunction, what would be the result of the measurement?
Homework Answers
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What would be the result of a kinetic energy measurement on a
free quantum particle?
(i.e....
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Write a functional programme in Python for the following
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Write a functional programme in Python for the following
task:
Consider the quantum mechanical problem of a particle encountering a potential step of height V. The particle with wave number enters from the left and meets the potential step at 0. If the kinetic energy Eof the particle is larger than V, it can either pass the step and continue with a smaller wave number or be reflected keeping its kinetic energy. The formulae for the probability of transmission (T)...
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Given the formula of the kinetic energy of a particle m
with
speed v:
KE = 1⁄2mv2 ,
and the formula of the gravitational potential energy:
PE = -GMEm/R,
where G is gravitational constant and ME and R=6378 km are the
mass and the radius of Earth. Now the particle is shot from Earth
surface to space. Find the minimum required initial speed for this
particle to completely escape the influence of Earth gravity (i.e.
PE=0). Notice that the gravitational...
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