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Hamiltonian Mechanics Fundamentals

Track :

Engineering

Lessons no : 49

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What will you learn in this course?
  • Master Hamiltonian formulation to analyze complex mechanical systems and predict their behavior accurately in physics and engineering contexts
  • Apply Hamiltonian principles to solve real-world problems involving energy conservation, phase space, and dynamical systems
  • Utilize Hamiltonian equations to model and simulate classical mechanics scenarios in engineering and physics projects
  • Interpret phase space and energy landscapes to understand stability, chaos, and system evolution in Hamiltonian mechanics
  • Implement canonical transformations to simplify Hamiltonian systems for easier analysis and problem-solving
  • Analyze the role of symmetries and conservation laws within Hamiltonian mechanics for advanced physics applications
  • Develop computational skills to solve Hamiltonian equations using numerical methods and software tools
  • Evaluate the impact of Hamiltonian mechanics on modern physics, including quantum mechanics and statistical mechanics

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Lessons | 49
Dynamics of Classical and Quantum Fields Intro Video
00:07:56

Dynamics of Classical and Quantum Fields Intro Video
Lec 1 Introduction
00:21:54

Lec 1 Introduction
Lec 2 Lagrangian Formalism
00:39:17

Lec 2 Lagrangian Formalism
Lec 3 Hamiltonian Mechanics
00:35:36

Lec 3 Hamiltonian Mechanics
Lec 4 Flows and Symmetries
00:47:21

Lec 4 Flows and Symmetries
Lec 5 Examples of Continuum Systems
00:44:32

Lec 5 Examples of Continuum Systems
Lec 6 Symmetries and Noether s Theorem
00:44:14

Lec 6 Symmetries and Noether s Theorem
Lec 7 Dynamical Symmetries
00:35:09

Lec 7 Dynamical Symmetries
Lec 8 Symmetries in Field Theories
00:44:31

Lec 8 Symmetries in Field Theories
Lec 9 The Relativistic Electromagnetic Field
00:32:51

Lec 9 The Relativistic Electromagnetic Field
Lec 10 Stress Energy Energy Momentum Tensor
00:25:25

Lec 10 Stress Energy Energy Momentum Tensor
Lec 11 Green s Theorem and Green s Functions
00:47:08

Lec 11 Green s Theorem and Green s Functions
Lec 12 Diffraction Theory
00:47:05

Lec 12 Diffraction Theory
Lec 13 Introduction to Elasticity Theory
00:36:14

Lec 13 Introduction to Elasticity Theory
Lec 14 Solution of the rubber band problem
00:49:34

Lec 14 Solution of the rubber band problem
Lec 15 The Stress Function Method
00:47:51

Lec 15 The Stress Function Method
Lec 16 Strain Energy
00:28:57

Lec 16 Strain Energy
Lec 17 The Euler Equation
00:46:44

Lec 17 The Euler Equation
Lec 18 Bernoulli s Principle
00:31:43

Lec 18 Bernoulli s Principle
Lec 19 Matter Momentum and Energy Transport
00:43:02

Lec 19 Matter Momentum and Energy Transport
Lec 20 Stokes Drag I
00:38:38

Lec 20 Stokes Drag I
Lec 21 Stokes Drag II
00:32:22

Lec 21 Stokes Drag II
Lec 22 Towards Quantum Fields
00:33:12

Lec 22 Towards Quantum Fields
Lec 23 Right and Left Movers
00:40:31

Lec 23 Right and Left Movers
Lec 24 Functional Integration I
00:36:51

Lec 24 Functional Integration I
Lec 25 Functional Integration II
00:47:15

Lec 25 Functional Integration II
Lec 26 Perturbation theory
00:34:01

Lec 26 Perturbation theory
Lec 27 Quantum Mechanics using Lagrangians
00:40:26

Lec 27 Quantum Mechanics using Lagrangians
Lec 34 Particle and Hole Green functions
00:26:45

Lec 34 Particle and Hole Green functions
Lec 35 Current Algebra
00:44:21

Lec 35 Current Algebra
Lec 36 Tight Binding Models I
00:46:09

Lec 36 Tight Binding Models I
Lec 37 Tight Binding Models II
00:42:21

Lec 37 Tight Binding Models II
Lec 38 Order Parameters
00:33:24

Lec 38 Order Parameters
Lec 39 Schrieffer Wolff Transformation
00:32:41

Lec 39 Schrieffer Wolff Transformation
Lec 28 Path Integrals Formalism
00:39:16

Lec 28 Path Integrals Formalism
Lec 29 Path Integrals Free particles
00:41:37

Lec 29 Path Integrals Free particles
Lec 30 Path Integrals Harmonic oscillator
00:51:42

Lec 30 Path Integrals Harmonic oscillator
Lec 40 Matsubara Green functions I
00:50:49

Lec 40 Matsubara Green functions I
Lec 41 Matsubara Green functions II
00:34:48

Lec 41 Matsubara Green functions II
Lec 42 Self Energy and Spectral Functions
00:30:35

Lec 42 Self Energy and Spectral Functions
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Djamal Khelifi

Good course 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.