Symmetry-adapted perturbation theory or SAPT is a methodology in electronic structure theory developed to describe non-covalent interactions between atoms and/or molecules. SAPT is a member of the family of methods known as energy decomposition analysis (EDA). Most EDA methods decompose a total interaction energy that is computed via a supermolecular approach, such that: where is the total interaction energy obtained via subtracting isolated monomer energies and from the dimer energy . A key deficiency of the supermolecular interaction energy is that it is susceptible to basis set superposition error (BSSE). The major difference between SAPT and supermolecular EDA methods is that, as the name suggests, SAPT computes the interaction energy directly via a perturbative approach. One consequence of capturing the total interaction energy as a perturbation to the total system energy rather than using the subtractive supermolecular method outlined above, is that the interaction energy is made free of BSSE in a natural way. Being a perturbation expansion, SAPT also provides insight into the contributing components to the interaction energy. The lowest-order expansion at which all interaction energy components are obtained is second-order in the intermolecular perturbation. The simplest such SAPT approach is called SAPT0 because it neglects intramolecular correlation effects (i.e., it is based on Hartree–Fock densities). SAPT0 captures the classical electrostatic interaction of two charge densities and exchange (or Pauli repulsion) at first-order, and at second-order the terms for electrostatic induction (the polarization of the molecular orbitals in the electric field of the interacting atom/molecule) and dispersion (see London dispersion) appear, along with their exchange counterparts. Higher terms in the perturbation series can be accounted for using many-body perturbation theory or coupled-cluster approaches. Alternatively, density functional theory variants of SAPT have been formulated. The higher-level SAPT methods approach supermolecular coupled-cluster singles, doubles, and perturbative triples [CCSD(T)] in accuracy. (Wikipedia).
OHM2013: Introduction to Quantum Perturbation
For more information visit: http://bit.ly/OHM13_web To download the video visit: http://bit.ly/OHM13_down Playlist OHM 2013: http://bit.ly/OHM13_pl Speaker: Karnei Gozman A birds eye view of the diagrammatic representation of Rayleigh-Schrödinger Perturbation Theory(RSPT), a general form
From playlist OHM 2013
Feynman Diagrams and Perturbation Theory: Calculating in Particle Physics
In this video, we talk about how physicists perform calculations in particle physics using perturbation theory and Feynman diagrams. We discuss what perturbation theory is, how it relates to Feynman diagrams, how to read Feynman diagrams and how one actually gets a mathematical result out
From playlist Standard Model
Quantum Field Theory 4d - Second Quantization IV
We end our discussion of second quantization with the details of perturbation theory.
From playlist Quantum Field Theory
Perturbation Theory in Quantum Mechanics - Cheat Sheet
In this video we present all the equations you need to know when you want to do time (in)dependent, (non-)degenerate perturbation theory in non-relativistic #QuantumMechanics References: [1] Sakurai, Napolitano, "Modern Quantum Mechanics". Table of Contents: 00:00 Introduction 00:57 T
From playlist Quantum Mechanics, Quantum Field Theory
Teach Astronomy - Gravitational Perturbations
http://www.teachastronomy.com/ Newton's law of gravity is written for the idealized situation of two bodies in space with no other gravitational influences, but in the solar system, as in elsewhere in astronomy and in the universe, there are often more than two objects involved. Typically
From playlist 11. Interplanetary Bodies
(PP 6.5) Affine property, Constructing Gaussians, and Sphering
Any affine transformation of a (multivariate) Gaussian random variable is (multivariate) Gaussian. How to construct any (multivariate) Gaussian using an affine transformation of standard normals. How to "sphere" a Gaussian, i.e. transform it into a vector of independent standard normals.
From playlist Probability Theory
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
The Physics of Morphogenesis (Part 2) by Erez Braun
Discussion Meeting Thirsting for Theoretical Biology (ONLINE) ORGANIZERS: Vaishnavi Ananthanarayanan (UNSW & EMBL Australia), Vijaykumar Krishnamurthy (ICTS-TIFR, India) and Vidyanand Nanjundiah (Centre for Human Genetics, India) DATE: 11 January 2021 to 22 January 2021 VENUE: Online
From playlist Thirsting for Theoretical Biology (Online)
Maxim Kazarian - 2/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Sergiu Klainerman - Remarks on the stability of Kerr for axisymetryc perturbations
Remarks on the stability of Kerr for axisymetryc perturbations Licence: CC BY NC-ND 4.0
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Phase transitions and symmetry breaking in current distributions of diffusive systems by Yariv Kafri
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
The Weak Cosmic Censorship Conjecture: Status Report by Pau Figueras
PROGRAM Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE) ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Sc
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (Online)
Commensurability in quantum many-body systems (Lecture 3) by Masaki Oshikawa
SEMINAR: Commensurability in quantum many-body systems SPEAKER: Masaki Oshikawa (University of Tokyo) DATE: Wed, 18 December 2019 VENUE: Emmy Noether Seminar Room, ICTS Campus, Bangalore In condensed matter physics, we are interested in a macroscopic number of quantum-mechanical particles
From playlist Seminar Series
Marco SERONE - A look at \phi^4_2 using perturbation theory
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”
Lattice Supersymmetric Field Theories (Lecture 1) by David Schaich
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022
Three problems not too far from equilibrium: from passive to active systems by Cesare Nardini
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Learning movement and relearning after stroke
Dr. Amy Bastian of John Hopkins explains normal and abnormal motor learning and how we can use this information to improve rehabilitation for individuals with neurological damage. Human motor learning depends on a suite of brain mechanisms that are driven by different signals and operate
From playlist Wu Tsai Neurosciences Institute
B-mode Grab Bag - M. Kamionkowski - 5/16/2014
Workshop on Primordial Gravitational Waves and Cosmology (May 16 - 17, 2014) Learn more about this workshop: http://burkeinstitute.caltech.edu/workshops Produced in association with Caltech Academic Media Technologies. © 2014 California Institute of Technology
From playlist Walter Burke Institute for Theoretical Physics - Workshop on Primordial Gravitational Waves and Cosmology (May 16 - 17, 2014)
L9.4 Setting up perturbation theory
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L9.4 Setting up perturbation theory License: Creative Commons BY-NC-SA Mo
From playlist MIT 8.06 Quantum Physics III, Spring 2018
CFTs with U(m)xU(n) Global Symmetry in 3D and the Chiral Phase Transition of QCD by Andy Stergiou
PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II
From playlist NUMSTRING 2022