Search results with tag "Hermite polynomials"
Time and Frequency Domains
www.magazines007.comThere is a whole class of functions called orthonormal functions, or sometimes called eigenfunctions or basis functions, which could be used to describe any time-domain waveform. Other orthonormal functions are Hermite Polynomials, Legendre Polynomials, Laguerre Polynomials, and Bessel Functions.
9. Harmonic Oscillator - MIT OpenCourseWare
ocw.mit.edu31 For more details on Hermite Polynomials and their generator function, look on Cohen-Tannoudji. Online information from: Eric W. Weisstein. Hermite Polynomial. From MathWorld–A Wolfram Web Resource. 82. 9.1.4 Heisenberg picture We want now to study the time-evolution of the h.o. We first start with analyzing the evolution of the operators in
Quantum Mechanics with Mathematica
physics.weber.eduSpecial functions such as Hermite polynomials and spherical harmonics are built into Mathematica. Mathematica provides easy-to-use routines for numerical integration, solving ODEs, and diagonalizing matrices. Coding a PDE-solving algorithm is no harder in Mathematica than in any other language (although execution speed can sometimes be an issue).
Hermite and Laguerre Polynomials
williamsgj.people.cofc.eduHermite and Laguerre Polynomials In this chapter we study two sets of orthogonal polynomials, Hermite and Laguerre polynomials. These sets are less common in mathematical physics than the Legendre and Bessel functions of Chapters 11 and 12, but Hermite polynomials occur in solutions of the simple harmonic oscillator of quantum