Notes Addition of two spins We consider a system of two spin that half particle only with spin degree of freedom. Let the particles be independent to each other. They do not interact with each ...

Notes Spiners and Expectation values When analyzing spin dynamics, particularly in the context of magnetic resonance or quantum computing, it's often beneficial to describe the system from a rotating frame of reference. This allows for …

Notes Precession of an electron in magnetic field We consider an electron which has only spin degree of freedom. The electron has spin. The electron is negatively charged particle. So it has magnetic moment 𝜇_s due to spin. ...

Notes Inclusion of spin in wave function Including spin in the wave function is crucial in systems where particles possess intrinsic angular momentum, such as electrons, protons, and neutrons. Spin is a fundamental property of particles, …

Notes Magnetic Resonance We consider an electron with only spin degree of freedom in a region where a large static magnetic field Bo is along the z axis and a small oscillating field ...

Notes Clebsch - Gordan coefficients The Clebsch-Gordan coefficients are mathematical quantities used in quantum mechanics to determine the composition of angular momentum states in composite quantum systems. They play a crucial role in …

Notes Recursion relation To solve the radial part of the Schrödinger equation for a spherically symmetric potential, we often encounter the need to solve the angular part separately. This typically involves solving for ...

Notes The hydrogen atom A hydrogen atom consists of proton and electron. The electron is orbiting round the nucleus and the nucleus also in general is in motion. So we assign coordinates for both ...