Classical Mechanics (Alpha Science)

A course in Classical Mechanics is normally considered to be difficult because of the formal nature and the associated mathematical complexities. A problem-based course, however, can be considerably easy to comprehend. The author has succeeded in presenting a smooth transition from simpler ideas to more complex concepts. Intricate topics such as the transformation theory, Poisson brackets and Hamilton Jacobi theory are dealt in considerable detail. Their intimate connections with the discoveries in Quantum mechanics are emphasized, enabling the student to have a deeper understanding of Quantum mechanics.

Table of Contents

• Preface
• Revision
• Conservation Laws, Elementary Rotational Motion
• Illustrations of Newton's Laws
• D' Alembert's Principle
• Lagrangian Formulation
• Velocity dependent Potentials
• Canonical Momentum
• Variational Principle
• Undetermined Multipliers
• Motion in Central Potential
• Qualitative discussion about Orbital Motion
• Scattering
• Rutherford Scattering
• Lab. And CM. Frame
• Moving Coordinate System
• Rigid Dynamics
• Hamilton's Equation
• Routh's Procedure
• Transformation Theory
• Canonical Transformation
• Poisson's Bracket
• Further properties of Poisson Bracket
• Motion as successive Canonical Transformation
• Action
• Hamilton Jacobi Equation
• Small Oscillations