Perturbation theory | Mathematical analysis

Stationary phase approximation

In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to the limit as . This method originates from the 19th century, and is due to George Gabriel Stokes and Lord Kelvin.It is closely related to Laplace's method and the method of steepest descent, but Laplace's contribution precedes the others. (Wikipedia).

Video thumbnail

A Stationary Phase Method for a Class of Nonlinear Equations - Yen Do

Yen Do Georgia Institute of Technology October 26, 2010 In this talk I will describe a real-variable method to extract long-time asymptotics for solutions of many nonlinear equations (including the Schrodinger and mKdV equations). The method has many resemblances to the classical stationa

From playlist Mathematics

Video thumbnail

C64 Transient and steady state terms

Showing that the solution to simple harmonic motion problems have transient and steady-state terms

From playlist Differential Equations

Video thumbnail

Linear Approximations and Differentials

Linear Approximation In this video, I explain the concept of a linear approximation, which is just a way of approximating a function of several variables by its tangent planes, and I illustrate this by approximating complicated numbers f without using a calculator. Enjoy! Subscribe to my

From playlist Partial Derivatives

Video thumbnail

Time Derivatives in Inertial and Rotating Frames (9.3)

In this video, I write down a relationship between the time derivatives of a vector quantity in the inertial and rotating frames.

From playlist Intermediate Classical Mechanics

Video thumbnail

Phase Constant

The Phase Constant is demonstrated. Want Lecture Notes? http://www.flippingphysics.com/phase-constant.html This is an AP Physics C: Mechanics topic. Next Video: Simple Pendulum - Simple Harmonic Motion Derivation using Calculus http://www.flippingphysics.com/SHM-derivation-pendulum.html

From playlist Simple Harmonic Motion - AP Physics C: Mechanics

Video thumbnail

C67 The physics of simple harmonic motion

See how the graphs of simple harmonic motion changes with changes in mass, the spring constant and the values correlating to the initial conditions (amplitude)

From playlist Differential Equations

Video thumbnail

Determine Function from Stationary Points

More resources available at www.misterwootube.com

From playlist Applications of Differentiation

Video thumbnail

Nandini Ananth - Quantum dynamics from classical trajectories - IPAM at UCLA

Recorded 14 April 2022. Nandini Ananth of Cornell University, Chemistry, presents "Quantum dynamics from classical trajectories" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: Semiclassical approximations based on the path integral formulation of quantum mechanics emplo

From playlist 2022 Model Reduction in Quantum Mechanics Workshop

Video thumbnail

Lec 2 | MIT 5.74 Introductory Quantum Mechanics II

Spectroscopic Pertubations, Predissociation, and Autoionization View the complete course at: http://ocw.mit.edu/5-74S04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.74 Introductory Quantum Mechanics II, Spring 2004

Video thumbnail

Yury Stepanyants: The asymptotic approach for ocean wave patterns

SMRI Applied Mathematics Seminar: Yury Stepanyants (University of Southern Queensland) Abstract: The asymptotic approach is suggested for the description of interacting surface and internal oceanic solitary waves. This approach allows one to describe a stationary moving wave patterns cons

From playlist SMRI Seminars

Video thumbnail

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

Video thumbnail

Lec 3 | MIT 5.74 Introductory Quantum Mechanics II

Semiclassical Methods for Calculating Vibrational Overlap Integrals View the complete course at: http://ocw.mit.edu/5-74S04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 5.74 Introductory Quantum Mechanics II, Spring 2004

Video thumbnail

Dynamical Phases and Quantum Correlations in an Emitter-Waveguide System... by Beatriz Olmos-Sanchez

PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a

From playlist Non-Hermitian Physics (ONLINE)

Video thumbnail

Differential Calculus | Sketching Curves using Derivatives

In this lesson we go over the how to find stationary points (alternatively called critical points) and extend this finding to sketch a curve.

From playlist Differential Calculus - MAM Unit 2

Related pages

Complex conjugate | Contour integration | Hessian matrix | Laplace's method | Metric signature | Mathematics | Fresnel integral | Bump function | Second derivative | Fubini's theorem | Riemann–Lebesgue lemma | Method of steepest descent | Taylor series | Critical point (mathematics) | Airy function | Asymptotic analysis