Variational Theorem
The function with the lowest possible variational energy is the ground-state wavefunction of the system. This is a very useful result for finding approximations to the true ground-state wavefunction, when it can't be obtained directly.

▶︎
Variational Approach

▶︎
Variational Principle Introduction

▶︎
Variation Theorem - Proof and Illustration

▶︎
Introduction to Variational Calculus - Deriving the Euler-Lagrange Equation

▶︎
Deriving 1st Order Perturbation Theory (Energy and Wavefunction Corrections)

▶︎
William Dunham, A tribute to Euler

▶︎
The most beautiful formula not enough people understand

▶︎
Mod-06 Lec-38 Variation Method - Introduction

▶︎
Stokes' Theorem and Green's Theorem

▶︎
Quantum Chemistry 8.1 - Variational Principle

▶︎
Electrons Don't Actually Orbit Like This

▶︎
The Dirac Equation: The Most Important Equation You’ve Never Heard Of

▶︎
The Physicist Who Uncovered "Negative" Time

▶︎
Understanding Lagrange Multipliers Visually

▶︎
L1.1 General problem. Non-degenerate perturbation theory

▶︎
A Simple yet Powerful Math Trick

▶︎
Understanding Quantum Mechanics #2: Superposition and Entanglement

▶︎
An Exact Formula for the Primes: Willans' Formula

▶︎
The problem with pretending quantum mechanics makes sense | Sean Carroll

▶︎
