For linear motion, you have seen how the

1
For linear motion, you have seen how the
deBroglie wavelength changes as the momentum of
the particle changes (e.g. number of nodes for
PIB). Consider a particle confined to the
surface of a sphere, which can be described by
the rigid rotator model. What do you expect for
the shape of the wave function describing a
pole-to-pole motion? (A) nodes form circles of
latitude on the sphere the number of nodes
increases with angular momentum (B) nodes form
circles of latitude on the sphere the number
of nodes decreases with angular momentum (C)
nodes form circles of longitude on the sphere
the number of nodes increases with angular
momentum (D) nodes form circles of longitude
on the sphere the number of nodes decreases
with angular momentum
2
For linear motion, you have seen how the
deBroglie wavelength changes as the momentum of
the particle changes (e.g. number of nodes for
PIB). Consider a particle confined to the
surface of a sphere, which can be described by
the rigid rotator model. What do you expect for
the shape of the wave function describing a
pole-to-pole motion? (A) nodes form circles of
latitude on the sphere the number of nodes
increases with angular momentum ... nodal lines
are always perpendicular to the direction of
motion (B) nodes form circles of latitude on
the sphere the number of nodes decreases with
angular momentum (C) nodes form circles of
longitude on the sphere the number of nodes
increases with angular momentum (D) nodes form
circles of longitude on the sphere the number
of nodes decreases with angular momentum