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What is Eigenfunctions Notes about?

Eigenfunctions are defined by the equation Oψ = λψ, where O is an operator and λ is the corresponding eigenvalue. Examples include the exponential function e^(kx) with eigenvalue k, the particle in a box with eigenfunctions ψ_n(x) and energy E_n, and the harmonic oscillator with eigenfunctions ψ_n and energy levels E_n. Other examples include the momentum operator acting on e^(ikx) and the second derivative of sin x yielding an eigenvalue of -1.

Author

umathuwal313

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EN