Chapter 7: Quantum Theory

Operator

something that carries out a mathematical operation on a function

Hamiltonian Operator

an operator corresponding to the total energy of a quantum system, used in the Schrödinger equation to determine the system's evolution.

Eigen Function

A function that satisfies the eigenvalue equation $\text{Ω}Ψ=ωΨ$ where $Ψ$ is an unknown function associated with a specific eigenvalue $ω$.

Eigen value

A scalar constant $ω$ in the eigenvalue equation $\text{Ω}Ψ=ωΨ$, representing the factor by which the eigenfunction is scaled.