Energy eigenstates

Energy eigenstates

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,

:hat{H}Psi_n=E_nPsi_n

:where hat{H} is the time-independent Hamiltonian operator,

:Psi 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.


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