Tru Physics

Tag: Spherical Harmonics

  • Spherical Harmonics

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    Introduction Spherical harmonics are mathematical functions that play a significant role in various fields, including quantum mechanics, electrodynamics, and computer graphics. They arise when solving Laplace’s equation in spherical coordinates, leading to a separation of variables solution. Definition and Mathematical Formulation of Spherical Harmonics Spherical harmonics can be defined in terms of the associated Legendre…

  • Zonal Harmonics

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    Zonal harmonics are a special class of spherical harmonics, which are functions that play a vital role in many areas of physics, including quantum mechanics, electrodynamics, and many areas of theoretical physics. Introduction to Spherical Harmonics Spherical harmonics are functions defined on the surface of a sphere that solve the angular part of Laplace’s equation.…