Energy eigenstates

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The Energy eigenstates of a quantum system are the set of eigenvalues and eigenvectors obtained by solving the time-independent Schrödinger equation for the system in question,

where is the time-independent Hamiltonian operator,

Ψ is the nth energy eigenvector (also known as eigenfunction or wavefunction),

and E_n is the nth energy eigenvalue.

In the case of a system with a time-independent Hamiltonian operator, this set of eigenvalues are also called stationary states, because they are time-independent.