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Main Question or Discussion Point
Structure and dynamics in the microcosm are inherently connected by the laws of quantum mechanics.
Take, for example, a particle put in a superposition of its
ground state
0
x of energy W 0
and the first excited
state
1
x of energy W 1
. Such a superposition state is
referred to as a wave packet. Change in the position of
its center of mass is the closest quantum mechanical analog of classical motion. Solution of the Schrödinger
equation for the particle’s wave function x yields an
oscillatory motion with the oscillation period T
osc
=2 / W , where W = W 1
− W 0
. The larger the energy
separation W between the two eigenstates, the faster is
the particle’s motion in the superposition state.
would you please explain why?
Take, for example, a particle put in a superposition of its
ground state
0
x of energy W 0
and the first excited
state
1
x of energy W 1
. Such a superposition state is
referred to as a wave packet. Change in the position of
its center of mass is the closest quantum mechanical analog of classical motion. Solution of the Schrödinger
equation for the particle’s wave function x yields an
oscillatory motion with the oscillation period T
osc
=2 / W , where W = W 1
− W 0
. The larger the energy
separation W between the two eigenstates, the faster is
the particle’s motion in the superposition state.
would you please explain why?
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