-
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...
- the
eigenstate of the
Hamiltonian with
eigenvalue E α {\displaystyle E_{\alpha }} . We will
refer to
these states simply as "energy
eigenstates." For...
- 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...
- as a sum or
superposition of the
eigenstates of an
Hermitian operator, like the Hamiltonian,
because the
eigenstates form a
complete basis: | α ⟩ = ∑...
- of
different energies). It is also
called energy eigenvector,
energy eigenstate,
energy eigenfunction, or
energy eigenket. It is very
similar to the concept...
- states" or "energy
eigenstates"; in
chemistry they are
called "atomic orbitals" or "molecular orbitals".
Superpositions of
energy eigenstates change their properties...
- can be
absorbed into each
quark field (both of the m****
eigenstates, and of the weak
eigenstates), but the
matrix is
independent of a
common phase. Hence...
- zero
magnetic field, the
transition dipole moment between two
energy eigenstates ψa and ψb can
alternatively be
written in
terms of the
momentum operator...
- wave function—initially in a
superposition of
several eigenstates—reduces to a
single eigenstate due to
interaction with the
external world. This interaction...
