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Hamiltonian Mechanics Fundamentals

Engineering

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Dynamics of Classical and Quantum Fields Intro Video

Lec 1 Introduction

Lec 2 Lagrangian Formalism

Lec 3 Hamiltonian Mechanics

Lec 4 Flows and Symmetries

Lec 5 Examples of Continuum Systems

Lec 6 Symmetries and Noether s Theorem

Lec 7 Dynamical Symmetries

Lec 8 Symmetries in Field Theories

Lec 9 The Relativistic Electromagnetic Field

Lec 10 Stress Energy Energy Momentum Tensor

Lec 11 Green s Theorem and Green s Functions

Lec 12 Diffraction Theory

Lec 13 Introduction to Elasticity Theory

Lec 14 Solution of the rubber band problem

Lec 15 The Stress Function Method

Lec 16 Strain Energy

Lec 17 The Euler Equation

Lec 18 Bernoulli s Principle

Lec 19 Matter Momentum and Energy Transport

Lec 20 Stokes Drag I

Lec 21 Stokes Drag II

Lec 22 Towards Quantum Fields

Lec 23 Right and Left Movers

Lec 24 Functional Integration I

Lec 25 Functional Integration II

Lec 26 Perturbation theory

Lec 27 Quantum Mechanics using Lagrangians

Lec 34 Particle and Hole Green functions

Lec 35 Current Algebra

Lec 36 Tight Binding Models I

Lec 37 Tight Binding Models II

Lec 38 Order Parameters

Lec 39 Schrieffer Wolff Transformation

Lec 28 Path Integrals Formalism

Lec 29 Path Integrals Free particles

Lec 30 Path Integrals Harmonic oscillator

Lec 40 Matsubara Green functions I

Lec 41 Matsubara Green functions II

Lec 42 Self Energy and Spectral Functions

Lec 43 S Matrix Perturbation Theory

Lec 44 Keldysh Contour

Lec 45 Bosonic Coherent States

Lec 46 Fermionic Coherent States

Lec 47 Nonlocal particle hole operators Bosons

Lec 48 Nonlocal particle hole operators Fermions

Lec 31 Creation and annihilation operators Excitations

Lec 32 Creation and annihilation operators Photons

Lec 33 Creation and annihilation operators Many body physics

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Djamal Khelifi 

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2025-09-04

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Hamiltonian Mechanics course in hindi, in this course we explore advanced principles of classical mechanics, emphasizing the Hamiltonian formulation and its applications in physics and engineering.

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Engineering Mechanics