We've looked at the wavefunction for a particle in a box. Soon we will look at other systems with different constraints and types of motion, which have a different wavefunction. For example, a particle rotating on a ring has w(p) =. 1 e'mø where m=0, ± 1, ± 2,... and ¢ is the angle of rotation (analagous to x in the particle in a box problems). For -n? d? 21 do2 rotational motion the kinetic energy operator is E where I is the moment of inertia (analagous to mass). Use the Schrödinger equation to calculate the energy of this particle if V = 0.
We've looked at the wavefunction for a particle in a box. Soon we will look at other systems with different constraints and types of motion, which have a different wavefunction. For example, a particle rotating on a ring has w(p) =. 1 e'mø where m=0, ± 1, ± 2,... and ¢ is the angle of rotation (analagous to x in the particle in a box problems). For -n? d? 21 do2 rotational motion the kinetic energy operator is E where I is the moment of inertia (analagous to mass). Use the Schrödinger equation to calculate the energy of this particle if V = 0.
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Transcribed Image Text:We've looked at the wavefunction for a particle in a box. Soon we will look
at other systems with different constraints and types of motion, which
have a different wavefunction. For example, a particle rotating on a ring
has w(0) =
1
eimo where m= 0, ± 1, + 2,... and ø is the angle
of rotation (analagous to x in the particle in a box problems). For
-n? d?
21 do2
rotational motion the kinetic energy operator is E,
where
I is the moment of inertia (analagous to mass). Use the Schrödinger
equation to calculate the energy of this particle if V = 0.
E=
2m
h?m?
E=
21
m2
E =
21
h?m²
E=
21
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