Question

Explain the term “Stationary State” in the context of the Schrödinger amplitude
function.

19 Aug 2026
Answer :
Word Count : 235
In quantum chemistry, a stationary state is a quantum state in which the probability distribution of finding a particle at different positions remains unchanged with time. It is represented by a wavefunction that is an eigenfunction of the time-independent Schrödinger equation: [ \hat{H}\psi = E\psi ] where (\hat{H}) is the Hamiltonian operator, (\psi) is the Schrödinger amplitude function (wavefunction), and (E) is the corresponding energy eigenvalue. For a stationary state, the complete time-dependent wavefunction can be written as [ \Psi(\mathbf{r},t)=\psi(\mathbf{r})e^{-iEt/\hbar} ] Here,
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