Notes Theorem of equipartition of energy (Boltzman equipartition) From generalized equipartition theorem< xi, ∂H/∂xj > = ðij KBT...................1Many physical system have Hamiltonian which in classical transformation can be expressed aswhere Ai and Bi are …
Notes Hamiltonian for a particle in a central force field and obtaining equation of motion of the particle In a central force field, force is always directed towards the centre. Potential energy is conservative so that Hamiltonian represents the total energy.As the motion is always confined in ...
Notes Hamilton-Jacobi Theory Canonical transformations may be used to provide a general procedure for solving mechanical problems. Two methods have been suggested. If the Hamilton is conserved, the solution could be obtained by …
