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Analytic Dynamics MSc-III (MATH-637), BS-VII (MATH-425), BS-VII (Ex-PPP)
Week 10 Hamilton Jacobi theory, Hamilton Jacobi theorem
Week 10 Hamilton Jacobi theory, Hamilton Jacobi theorem
D.T. Greenwood.
Classical Dynamics.
(Prentice-Hall, Inc. 1965)
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289-324.pdf (3.56 MB )
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Course Material
Week 1 Generalized coordinates, Constraints, Degree of freedom
Week 2 non-Holonomic systems, Hamilton’s Holonomic and principle,
Week 3 Derivation of Lagrange equation from Hamilton’s principle
Week 4 Derivation of Hamilton’s equation from a variational principle
Week 5 Equations of Gauge transformation,
Week 6 Examples of canonical transformations Orthogonal point transformations, The principle of least action
Week 7 Applications of Hamilton’s equation to central force problems Applications to Hamiltonian formulism,
Week 8 Lagrange bracket and Poisson brackets with application
Week 9 Mid Term Exam
Week 10 Hamilton Jacobi theory, Hamilton Jacobi theorem
Week 11 Hamilton Jacobi equation for Hamilton characteristics Functions
Week 12 Bilinear co-variant
Week 13 Quasi coordinates, transpositional relations for Quasi coordinates
Week 14 Lagrange’s equation for Quasi coordinates
Week 15 Appel’s equation for Quasi coordinates
Week 16 Whittaker equation with applications
Week 17 Chaplygain system and equation
Week 18 Final Term Exam
Chapters
18
Department
Mathematics
Teacher
Dr. Tahir Nazir