For linear motion, you have seen how the

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Presentation transcript:

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 (D) nodes form “circles of longitude” on the sphere; the number of nodes

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 (D) nodes form “circles of longitude” on the sphere; the number of nodes