Notes a year ago Flag 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 a year ago Flag 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 a year ago Flag 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 a year ago Flag Particle in a centrally symmetric potential field A particle in a centrally symmetric potential field is a classical and quantum mechanical problem that describes the motion of a particle under the influence of a force that depends ...
Notes a year ago Flag 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 a year ago Flag 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 a year ago Flag 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 a year ago Flag 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 ...