Notes Fourier series In mathematics, a Fourier series is a way to represent a periodic function as the sum of simple sine and cosine functions. It is named after Joseph Fourier, who introduced ...
Notes Kepler's problem by H-J method Kepler's problem is basically a problem related to central force. For simplicity we take inverse square force between nucleus of charge 'Ze' and electron of charge 'e'. One of the ...
Notes Poisson Bracket ELI5: Imagine you have a big toy box filled with different toys like cars, dolls, action figures, etc. Each toy represents a different thing, like the position and speed of ...
Notes Poisson's Second Theorem Statement: '' The poisson bracket of two constant of motion is itself a constant of motion.''If u and v are constant of motions then their poisson's bracket is also ...
Notes Freely falling particle using the H-J method To determine the motion of a particle falling vertically in a uniform gravitational field, the Hamiltonian is given byH = T + V = p²/ 2m + mgy .........1...
Notes Free vibrations of a linear triatomic molecule Fig: Model of a linear symmetric triatomicLet us consider two atoms of mass m are symmetric triatomic located on each side of an atom of mass M. All three ...
Notes Small oscillations Lagrangian approach is suitable for the system with small oscillation about an equilibrium position. The theory of small oscillation about equilibrium position is applicable in molecular spectra, …
Notes Introduction to continuous systems and fields Certain mechanical issues require a continuous system. For instance, consider the issue of an elastic solid that is vibrating. Here, the oscillation is caused by each point of the continuous ...
