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eigenfunctions's Usage Examples:

In applied mathematics, the Hough functions are the eigenfunctions of Laplace"s tidal equations which govern fluid motion on a rotating sphere.

Its eigenfunctions are | ϕ ⟩ {\displaystyle |\phi \rangle \,} and its eigenvalues are the.

This terminology is because the solutions correspond to the eigenvalues and eigenfunctions of a Hermitian.

solutions are the eigenfunctions associated to each λ.

The complex-valued eigenfunctions of any linear time-invariant (LTI) system are of the following forms:.

This is sometimes also called the homogeneity operator, because its eigenfunctions are the monomials in z: θ ( z k ) k z k , k 0 , 1 , 2 , … {\displaystyle.

This is why the Hellmann–Feynman theorem holds for wave-functions (such as the Hartree–Fock wave-function) that, though not eigenfunctions of the Hamiltonian, do derive from a variational principle.

If one chooses the eigenfunctions of the position operator as a set of basis functions, one speaks of.

The analysis of these problems involves the eigenfunctions of a differential operator.

The above equations describe an eigenvalue problem whose solution eigenfunctions can be found by a number of numerical methods.

functions for a semisimple Lie group G also provide a set of simultaneous eigenfunctions for the natural action of the centre of the universal enveloping algebra.

eigenfunctions of an open non-linear medium was studied, properties of diffusive chaos were investigated.