Exact Spin Coherent State Path Integral for a Neutral Spinning Particle Interacting with a Rotating Magnetic Field and a Scalar Potential

摘要

Exact solutions of the neutral spinning particle in interaction with rotating magnetic field and a scalar potential using path integral formalism have been found. The propagator is first written in the standard Feynman form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ, Φ). Then we use the phase-space and rotations in the space of spin coherent states to simplify the calculations. Thus the exact energy spectrum with a corresponding wave functions are deduced.