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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.

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Variational Approach
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Variational Approach

Variational Principle Introduction
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Variational Principle Introduction

Variation Theorem - Proof and Illustration
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Variation Theorem - Proof and Illustration

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

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

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

The most beautiful formula not enough people understand
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The most beautiful formula not enough people understand

Mod-06 Lec-38 Variation Method - Introduction
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Mod-06 Lec-38 Variation Method - Introduction

Stokes' Theorem and Green's Theorem
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Stokes' Theorem and Green's Theorem

Quantum Chemistry 8.1 - Variational Principle
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Quantum Chemistry 8.1 - Variational Principle

Electrons Don't Actually Orbit Like This
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Electrons Don't Actually Orbit Like This

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

The Physicist Who Uncovered "Negative" Time
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The Physicist Who Uncovered "Negative" Time

Understanding Lagrange Multipliers Visually
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Understanding Lagrange Multipliers Visually

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

A Simple yet Powerful Math Trick
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A Simple yet Powerful Math Trick

Understanding Quantum Mechanics #2: Superposition and Entanglement
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Understanding Quantum Mechanics #2: Superposition and Entanglement

An Exact Formula for the Primes: Willans' Formula
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An Exact Formula for the Primes: Willans' Formula

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

He Atom Schrödinger Equation
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He Atom Schrödinger Equation

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