-
different eigenstates does in
general have
quantum uncertainty for the
given observable.
Using bra–ket notation, this
linear combination of
eigenstates can...
- {H}}=\hbar \omega \left(N+{\frac {1}{2}}\right),} so the
eigenstates of N are also the
eigenstates of energy. To see that, we can
apply H ^ {\displaystyle...
- series. The
degenerate eigenstates with a
given energy eigenvalue form a
vector subspace, but not
every basis of
eigenstates of this
space is a good...
- the
eigenstate of the
Hamiltonian with
eigenvalue E α {\displaystyle E_{\alpha }} . We will
refer to
these states simply as "energy
eigenstates." For...
- of
different energies). It is also
called energy eigenvector,
energy eigenstate,
energy eigenfunction, or
energy eigenket. It is very
similar to the concept...
- wave function—initially in a
superposition of
several eigenstates—reduces to a
single eigenstate due to
interaction with the
external world. This interaction...
- as a sum or
superposition of the
eigenstates of an
Hermitian operator, like the Hamiltonian,
because the
eigenstates form a
complete basis: | α ⟩ = ∑...
- states" or "energy
eigenstates"; in
chemistry they are
called "atomic orbitals" or "molecular orbitals".
Superpositions of
energy eigenstates change their properties...
-
final state is
composed of a
linear superposition of many
different eigenstates of H ^ ( t ) {\displaystyle {\hat {H}}(t)}
which sum to
reproduce the...
-
stand out to the eye in some
eigenstates of
classically chaotic systems, but are
quantified by
projection of the
eigenstates onto
certain test states, often...
