In mathematics and mathematical physics, Slater integrals are certain integrals of products of three spherical harmonics. They occur naturally when applying an orthonormal basis of functions on the unit sphere that transform in a particular way under rotations in three dimensions. Such integrals are particularly useful when computing properties of atoms which have natural spherical symmetry. These integrals are defined below along with some of their mathematical properties. (Wikipedia).
Quantum Integral. Gauss would be proud! I calculate the integral of x^2n e^-x^2 from -infinity to infinity, using Feynman's technique, as well as the Gaussian integral and differentiation. This integral appears over and over again in quantum mechanics and is useful for calculus and physics
From playlist Integrals
What is the constant rule of integration
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Dirichlet Eta Function - Integral Representation
Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna
From playlist Integrals
What is an integral and it's parts
👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which the upper and the lower li
From playlist The Integral
How to find the integral of an exponential function using u sub
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Definite Integral Using Limit Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.
From playlist Calculus
Find the area enclosed by the two curves using two integrals
Keywords 👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite integral. A definite integral is an integral in
From playlist Evaluate Integrals
Find the integral with inverse trig
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Lecture 02-Jack Simons Electronic Structure Theory- Hartree-Fock
Slater-Condon rules; the Hartree-Fock approximation; Coulomb and exchange interactions; Koopmans theorem, the meaning of orbital energies; Brillouin theorem; molecular orbitals are delocalized; reminder on the limitations of single determinant wave functions. (1)Jack Simons Electronic S
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Everything to know about Mellin-Barnes Integrals - Part 2: Live with the R&D Team
Begins at 1:00 In this stream, Oleg Marichev will be covering a more convenient form of general Mellin-Barnes Integrals, that he refers to as SlaterH functions and are equivalent to FoxH functions. Stay up-to-date on upcoming livestreams: https://wolfr.am/RDlive For more information abo
From playlist Live with the R&D Team
Francis Brown - Introduction to Feynman Amplitudes
In this talk, aimed at master's and Ph.D students, I will explain how to assign integrals to certain graphs representing physical processes. After discussing the standard integral representations and their underlying geometry, I will give an overview of what is presently known and not know
From playlist 5e Séminaire Itzykson : "Feynman Integrals"
Lecture 07-Jack Simons Electronic Structure Theory- Configuration interaction theory
Configuration interaction (CI) and multi-configuration self-consistent field (MCSCF) methods; strengths and weaknesses; two-electron integral transformation. (1)Jack Simons Electronic Structure Theory- Session 1- Born-Oppenheimer approximation http://www.youtube.com/watch?v=Z5cq7JpsG8I
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Lecture 04-Jack Simons Electronic Structure Theory- Linear combinations of atomic orbitals
The Hartree-Fock molecular orbitals; LCAO-MO expansion; Hartree-Fock equations in matrix form; one- and two-electron integrals; the iterative SCF process; scaling with basis set size; how virtual orbitals change with basis set; core, valence, polarization, and diffuse basis functions; Slat
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Everything to know about Mellin-Barnes Integrals: Live with the R&D team [Part 1]
Begins at 1:15 In this stream, Oleg Marichev will be describing Mellin-Barnes Integrals, show how to convert many special functions into such integrals, evaluate them and discuss how to build conditions of their existence and evaluation. Stay up-to-date on future livestreams, find pre
From playlist Live with the R&D Team
Lecture 01-Jack Simons Electronic Structure Theory- Born-Oppenheimer approximation
The Born-Oppenheimer approximation; non-adiabatic couplings; the electronic and vibration-rotation Schrodigner equations; atomic units; electronic cusps, electronic wave functions and energy surfaces; orbitals and spin-orbitals, Slater determinants; effects of antisymmetry; problems arisin
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Lecture 06-Jack Simons Electronic Structure Theory- Møller-Plesset perturbation theory
Determining the CI amplitudes using Moller-Plesset perturbation theory (MPn); Brillouin theorem; strengths and weaknesses of MPn; non-convergence of MPn can give crazy results. (1)Jack Simons Electronic Structure Theory- Session 1- Born-Oppenheimer approximation http://www.youtube.com/
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
Entropy bounds for reduced density matrices of fermionic states - Elliott Lieb
Elliott Lieb Princeton Univ April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Chem 131A. Lec 20. Quantum Principles: Hartree-Fock Calculations, Spin, and Slater Determinants
UCI Chem 131A Quantum Principles (Winter 2014) Lec 20. Quantum Principles -- Hartree-Fock Calculations, Spin, and Slater Determinants -- View the complete course: http://ocw.uci.edu/courses/chem_131a_quantum_principles.html Instructor: A.J. Shaka, Ph.D License: Creative Commons BY-NC-SA T
From playlist Chem 131A: Week 8
Integrate the a rational expression using logarithms and u substitution
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Vikram Gavini - DFT 1 - Density functional theory - IPAM at UCLA
Recorded 14 March 2023. Vikram Gavini of the University of Michigan presents "DFT 1 - Density functional theory" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematics-for-th
From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials