For a particle in a box, the average value of this quantity is the integral of psi-star times the Hamiltonian of psi, and is minimized at h squared over eight times the mass times the length squared.
In reduced units, the operator for this quantity for the hydrogen atom is often expressed as one over the radius minus one half del-squared. For a particle in a box, the average value of this quantity is the integral of psi-star times the Hamiltonian of psi, and is minimized at h squared over eight times the mass times the length squared. This quantity does not commute with time, in a common expression of the uncertainty principle. (*) Degeneracy occurs for two states where this quantity is the same. H psi equals this quantity times psi, according to the time-independent Schrodinger equation. For 10 points, name this quantity that is quantized by Planck's constant, and which is measured in electron-volts or Joules.
In reduced units, the operator for this quantity for the hydrogen atom is often expressed as one over the radius minus one half del-squared.
energy [or total energy; or E; or kinetic energy; or Hamiltonian until it is read]