Quantum mechanical systems

Create an organized data sheet for each of the following quantum mechanical systems: 1D particle in a box 3D particle in a box ideal harmonic oscillator 2D rigid rotor 3D rigid rotor hydrogen-like atom For each system: - give the general formula for the wavefunction - identify all variables and give their allowed values when appropriate - give the general formula for the energy of the system - identify all variables and give their allowed values when appropriate - State whether the (angular) momentum of the system is solvable analytically - give a generic equation or a result for the momentum - state any unusual considerations (for example, maybe only the square of the angular momentum can be solved analytically. If so, does it allow a value to be determined for the total angular momentum? - identify all variables and give their allowed values when appropriate - give a summary of any quantum numbers that are needed by the system and give their allowed values.