In this video, I graph out the real spherical harmonics using the amazing Desmos graphing calculator via a project someone made. I do a quick breakdown of the formulas they used, noting the added normalization

In this video, I graph out the real spherical harmonics using the amazing Desmos graphing calculator via a project someone made. I do a quick breakdown of the formulas they used, noting the added normalization

In this video, I derive the real spherical harmonics by excluding the imaginary complex i terms from the complex spherical harmonics. The real spherical harmonics are what are typically plotted when graphing

In this video, I derive the real spherical harmonics by excluding the imaginary complex i terms from the complex spherical harmonics. The real spherical harmonics are what are typically plotted when graphing

In this video, I go over the actual spherical harmonics equations, which exclude the radial terms from the solid spherical harmonics I had derived earlier. The spherical harmonics can be combined into

In this video, I go over the actual spherical harmonics equations, which exclude the radial terms from the solid spherical harmonics I had derived earlier. The spherical harmonics can be combined into

In this video, I go over the derivation of the solid spherical harmonics, which are solutions to the Laplace equation in spherical harmonics. They are referred to as "solid" because they include

In this video, I go over the derivation of the solid spherical harmonics, which are solutions to the Laplace equation in spherical harmonics. They are referred to as "solid" because they include

In this video I derive the Laplace Operator or Laplacian in spherical coordinates by applying the Laplacian in polar coordinates twice: once for the azimuthal (ф) angle and once for the polar angle (θ).

In this video I derive the Laplace Operator or Laplacian in spherical coordinates by applying the Laplacian in polar coordinates twice: once for the azimuthal (ф) angle and once for the polar angle (θ).

In this video I derive the Laplace Operator or Laplacian in polar coordinates, which will come in handy when I derive the Laplacian in spherical coordinates in the next video. Since polar coordinates are

In this video I derive the Laplace Operator or Laplacian in polar coordinates, which will come in handy when I derive the Laplacian in spherical coordinates in the next video. Since polar coordinates are

In this video I go over a quick math review of the terms involved in the Laplace equation in 3D rectangular coordinates. Laplace's equation is defined as the divergence of the gradient of a function set

- Telegram - YouTube - Summary In this video I go over a quick math review of the terms involved in the Laplace equation in 3D rectangular coordinates. Laplace's equation is defined as the divergence of

In this video, I go over an overview of how spherical harmonics show up in the equations for atomic orbitals and magnetic fields. The Schrödinger equation is a partial differential equation that governs

In this video, I go over an overview of how spherical harmonics show up in the equations for atomic orbitals and magnetic fields. The Schrödinger equation is a partial differential equation that governs

In this video, I go over an introduction to spherical harmonics by giving an overview of how they are obtained from the solution to Laplace's equation in spherical coordinates. #math #sphericalharmonics

In this video, I go over an introduction to spherical harmonics by giving an overview of how they are obtained from the solution to Laplace's equation in spherical coordinates. The general solution to

In this video, I go over a deep dive into the famous spherical harmonics, which are the solutions to Laplace’s equation in spherical coordinates and are very prevalent in physics, especially in the quantized

In this video, I go over a deep dive into the famous spherical harmonics, which are the solutions to Laplace’s equation in spherical coordinates and are very prevalent in physics, especially in the quantized