Description
Advanced Classical Mechanics is a course on the deeper theoretical foundations and mathematical structures of classical physics published by Udemy Online Academy. This is a rigorous and conceptual course that goes beyond introductory mechanics to explore the deeper theoretical foundations and mathematical structures of classical physics. You will explore advanced topics such as Lagrangian and Hamiltonian formalisms, generalized coordinates, canonical transformations, and conservation laws, and gain insight into how physical systems can be described in ways that simplify complex motion. The course also covers small oscillations and normal states, rigid body dynamics, central force problems, and perturbation methods, while connecting these ideas to real-world applications in fields such as astrophysics, engineering, and modern physics.
The central force is a non-rotational, conserved force that always acts radially and can be either attractive or repulsive. Under the influence of this central force, the motion of the particle is confined to a plane and the orbit of the particle must be in two dimensions. The motion will be constrained by conservation of energy and angular momentum, and here the best application of such a central force problem is in the motion of planets and satellites. At the end of this content, the Hamiltonian of the system is defined through the dual Legendre transformation, and then the canonical Hamiltonian equations of Hamiltonian dynamics, which is specifically the third generation of classical mechanics, are obtained from the basic properties of the Hamiltonian, and finally these canonical equations are applied to the analysis of several conserved systems.
What you will learn in Advanced Classical Mechanics:
- This content – Advanced Classical Mechanics basically covers Lagrangian and Hamiltonian dynamics and their applications to the analysis of several classical systems.
- Here the discussion begins with the motion of a particle under a central force, where the force is constant and always acts in the radial direction. The trajectory will be planned.
- The best application of the central force problem is the motion of a planet around the sun and the motion of a satellite around a planet via conservation of energy.
- Then in this content, constrained motion is discussed here, where the motion of a particle or system of particles is constrained by some conditions.
- And …
Course specifications
Publisher: Udemy
Instructors: Shyamal Mukherjee
Language: English
Level: Introductory to Advanced
Number of Lessons: 30
Duration: 5 hours and 26 minutes
Course topics
Advanced Classical Mechanics Prerequisites
This content of Advances Classical Mechanics is basically a total discussion on Motion under central force, Constrained motion and the Lagrangian and Hamiltonian dynamics.
Pictures
Advanced Classical Mechanics introduction video
Installation guide
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Subtitle: None
Quality: 720p
Downloadly link
Rapidgator link
File password (s): www.downloadly.ir
Size
7.3 GB
