Some atomic processes can result in the emission of an electron from the atom. Electrons emitted in this way can have discrete values of kinetic energy, which depend on the atomic energy levels. The probability that the electron has a particular value depends on interactions within the atom.
Suppose a particular atomic process results in three values of the electron kinetic energy:
• Ψ₁, has Ee = 10 eV, with probability 0.2..
• Ψ₂, has Ee = 16 eV, with probability 0.3.
• Ψ₃, has Ee = 34 eV, with probability 0.5.
The electron's wave function can be written as a quantum superposition:
Ψ = aΨ₁ + bΨ₂ + cΨ₃
What are the magnitudes of a, b, and c?