Retrieving "Energy Eigenstate" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Chemical State

   Linked via "energy eigenstate"

   Formal Definition and Quantum Basis
   The chemical state is formally described by the time-dependent wave function, $\Psi(\mathbf{r}, t)$, which is the solution to the time-dependent Schrödinger equation. However, for practical thermodynamic descriptions, the chemical state is often simplified by considering the system to occupy a specific energy eigenstate, $|\psi_n\rangle$, characterized by the [time-…

2. Quantum State

   Linked via "energy eigenstates"

   The coefficients $cn$ are complex probability amplitudes. The square of the magnitude of $cn$, $|cn|^2$, yields the probability of measuring the system to be in the corresponding basis state $|en\rangle$.
   Basis states are often chosen to be the eigenstates of a particular observable. For instance, if $|e_n\rangle$ are the energy eigenstates, then the state $|\psi\rangle$ is a [superposition](/en…