Is Eigenstate An Eigenfunction? An eigenstate is a vector in the Hilbert space of a system, things we usually write like | >. An eigenfunction is an element of the space of functions on some space, which forms a vector space since you can add functions (pointwise) and multiply them by constants. Is eigenstate an
What Are The Eigenvalues And Eigenfunctions Of The Sturm-Liouville Problem? (p(x)y′)′ + (q(x) + λr(x))y = 0, a < x < b, (plus boundary conditions), is called an eigenfunction, and the corresponding value of λ is called its eigenvalue. The eigenvalues of a Sturm-Liouville problem are the values of λ for which nonzero solutions exist.
What Does Eigenfunction Mean? What does Eigenfunction mean? The eigenfunctions φk of the Hamiltonian operator are stationary states of the quantum mechanical system, each with a corresponding energy Ek. They represent allowable energy states of the system and may be constrained by boundary conditions. What does Eigen function represent? The eigenfunctions φk of the Hamiltonian