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[Solved]: [6] 7. Write the Heisenberg equation of motion for
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(Solved): [6] 7. Write the Heisenberg equation of motion for a Heisenberg operator hat(A)_(H) which does not d ...


[6] 7. Write the Heisenberg equation of motion for a Heisenberg operator

hat(A)_(H)

which does not depend explicitly on time. Determine the equations of motion for the operator

(:hat(x):)

and

(:hat(P):)

for a particle of mass

m

in a gravitational field with the Hamiltonian

hat(H)=(hat(P)^(2))/(2m)+mghat(x)

. Solve the equations of motion to get

hat(x)(t)

and

hat(P)(t)

, using the conditions



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