Consider a quantum harmonic oscillator.
a. What happens to the spacing between the nodes of the wave function as |x| increases? Why?
b. What happens to the heights of the antinodes of the wave function as |x| increases? Why?
c. Sketch a reasonably accurate graph of the n=8 wave function of a quantum harmonic oscillator.
Electron's quantum state after partition is
Energy of particle confined in a box of length =
= energy of state,
= plank's constant,
mass of particle,
length of box and
denotes the state of particle (harmonics) (n=1,2,3 ...)
From the law of conservation of energy,
the energy in section should be equal to the energy in section.
Thus, the electron's quantum state after partition =
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