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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 ana-log 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 ana-log 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?