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.