The norm of these quantities is necessarily equal to 1, and the square
 of the magnitude of this quantity at any given state is the probability of the system existing at that state.
In the particle-in-a-box model, this quantity is equal to the sum of A sin k x plus B cos k x quantity times
 e to the i omega t, and for the hydrogen atom model this quantity contains the product of a spherical
 harmonic and a Laguerre polynomial. The norm of these quantities is necessarily equal to 1, and the square
 of the magnitude of this quantity at any given state is the probability of the system existing at that state. In
 one interpretation, observation of a system causes the eigenstates of this value to be replaced by a single
 eigenstate. The Hamiltonian operator of this quantity is equal to the total energy of the system times this
 quantity; that equation is named for Schrodinger. For 10 points, name this quantity symbolized psi and used
 to describe the state of a quantum mechanical system.
In the particle-in-a-box model, this quantity is equal to the sum of A sin k x plus B cos k x quantity times
 e to the i omega t, and for the hydrogen atom model this quantity contains the product of a spherical
 harmonic and a Laguerre polynomial.
{wavefunction}