We've looked at the wavefunction for a particle in a box. Soon we will lookat other systems with different constraints and types of motion, whichhave a different wavefunction. For example, a particle rotating on a ringhas w(0) =1eimo where m= 0, ± 1, + 2,... and ø is the angleof rotation (analagous to x in the particle in a box problems). For-n? d?21 do2rotational motion the kinetic energy operator is E,whereI is the moment of inertia (analagous to mass). Use the Schrödingerequation to calculate the energy of this particle if V = 0.E=2mh?m?E=21m2E =21h?m²E=21

Given that: ψ(ϕ)=12πeimϕEk^=-h22Id2dϕ2V=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.

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.