Notes The partial wave theory of low energy s wave n-p scattering The partial wave theory of low-energy s-wave neutron-proton (n-p) scattering is a theoretical framework used to describe the interactions between neutrons and protons when they are scattered at low …
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 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 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 ...
Notes Entropy of a classical ideal gas using the concept of microcanonical ensemble The microcanonical ensemble describes a system that is isolated and has a fixed total energy. For an ideal gas, the total energy of the system is the sum of the ...
Notes Gibb's paradox and its resolution Gibbs' paradox is a problem in statistical mechanics that arises when attempting to calculate the entropy of a mixture of two ideal gases. The paradox is that the entropy of ...
