Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field

Based on the newly constructed state |l,r>> FAN et al., Chin. Phys. Lett. 16(1999)706, where l is the angular mometum quantum number and r denotes the electron's orbit radius in a uniform magnetic field, we propose a new angular momentum-phase coherent state by introducing a new operator A. A and A^† are annihilation and creation operator in the |l,r>> space, respectively. The coherent state is A's eigenket and possesses non-orthonormal and overcomplete properties, it is constructed on the certain superposition of zero-angular momentum states along the radius direction.