Noun
eigenket (plural eigenkets)
(physics) A ket
|
K
⟩
{\displaystyle |K\rangle }
such that
α
|
K
⟩
{\displaystyle \alpha |K\rangle }
=
a
|
K
⟩
{\displaystyle a|K\rangle }
for some linear operator
α
{\displaystyle \alpha }
and number
a
{\displaystyle a}
.
Then is an energy eigenket with the same eigenvalue, since : Since U is nontrivial, at least one pair of and must represent distinct states. Source: Internet
To see this, suppose that is an energy eigenket. Source: Internet