,Quasi-exactly Solvable Cases of the N-Dimensional Symmetric Quartic Anharmonic Oscillator

• 作 者: PAN Feng XIE Ming-Xia SHI Chang-Liang J. P. DRAAYER
• 机 构: Department of Physics, Liaoning Normal University, Dalian 116029“,”Department of Physics and Astrono
• 出 处: 中国物理快报（英文版）
• 发表日期: 2012年7期

The O( N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction parameter satisfies special conditions.The problem is directly related to that of a quantum double well anharmonic oscillator in an exteal field.A finite dimensional matrix equation for the problem is constructed explicitly,along with analytical expressions for some excited states in the system.The corresponding Niven equations for determining the polynomial solutions for the problem are given.