Jan 19, 2011 · An eigenfunction of an operator T:V->V (V being your function space) is a function f satisfying the equation Tf=\lambda Tf for some scalar \lambda. \lambda is called the eigenvalue of …

Dec 6, 2018 · Each eigenfunction (of the Hamiltonian) is the state of the system when its energy is equal to the associated eigenvalue. This can be compared to the study of a vibrating string in classical …

Feb 10, 2022 · This question is an additional point of clarification to my previous question about adding position and momentum eigenstates. For simplicity, suppose I had a particle in an eigenstate of …

Feb 25, 2009 · 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. Specifically, …

Dec 5, 2007 · The discussion focuses on finding the eigenfunction and kinetic energy of a particle in the ground state of an infinite square well, defined over the interval x ∈ [0,a]. The eigenfunction in the …

Jun 30, 2012 · What is the difference between eigenfunction and wave function? I'm always get confused when i am asked to write wave function and eigenfunction..

Nov 4, 2020 · The discussion revolves around the relationship between eigenfunctions and wave functions in quantum mechanics, specifically in the context of the time-independent Schrödinger …

Feb 20, 2021 · The discussion confirms that the spherical harmonic function Y 1, 1 (θ, ϕ) is an eigenfunction of the operators L ^ 2 and L z ^, with corresponding eigenvalues of 2 ℏ 2 and ℏ, …

Sep 3, 2007 · The discussion revolves around determining whether the function u (x) = exp (-x²/2) is an eigenfunction of the operator \hat {A} = d²/dx² - x². Participants explore the nature of eigenfunctions …

Is there a difference between "eigenfunction" and "eigenstate"? They seem to be used interchangeably in texts, which is confusing. My guess is that an "eigenfunction" has an explicit representation/