Examples of "eigenfunction"
is the eigenfunction of the derivative operator. Note that in this case the eigenfunction is itself a function of its associated eigenvalue. In particular, note that for "λ" = 0 the eigenfunction "f"("t") is a constant.
The main eigenfunction article gives other examples.
Quantization condition: An eigenfunction on the graph
is the eigenfunction of the derivative operator, where "f" is a parameter that depends on the boundary conditions. Note that in this case the eigenfunction is itself a function of its associated eigenvalue λ, which can take any real or complex value. In particular, note that for λ = 0 the eigenfunction "f"("t") is a constant.
then an eigenfunction is supported on a single graph edge
The spherical function Φ is an eigenfunction of the Laplacian:
Also since electronic wave function Φis an eigenfunction of L,
A refinable function is an eigenfunction of that operator.
The spherical function φ is an eigenfunction of the Laplacian:
The next smallest eigenvalue and eigenfunction can be obtained by minimizing "Q" under the additional constraint
As in the continuum limit, the eigenfunction of also happens "to be an exponential",
is a "K"-invariant eigenfunction of Δ on "G"/"K". When
The eigenfunction of the "q"-derivative is the "q"-exponential "e"("x").
where "f" is the eigenfunction and formula_61 is the eigenvalue, a constant.
As the eigenfunction is stationary under the quantum evolution a quantization
If "Y" is a joint eigenfunction of L and "L", then by definition
and so our absorption problem is reduced to an eigenfunction problem.
Hence molecular wave function Ψ is also an eigenfunction of L with eigenvalue ±Λ"ħ".
where "f" is the eigenfunction and formula_61 is the eigenvalue, a constant.
A straightforward approach is to discretize an eigenfunction of the continuous Fourier transform,