N-维氢原子的超对称量子力学方法

Method of SQM in N-dimensional hydrogen atoms

对于N维氢原子,应用超对称量子力学方法,不用求解N维薛定谔方程,直接构造了一个特殊的超势W(r)和伙伴势V±(r),从而在形不变势的条件下,得到N维氢原子的能量本征值.并用超势的特性,得到了N维氢原子的本征函数.

Supersymmetry is one of the most important concepts in the quantum field theory, string theory and high energy physics. Supersymmetry Quantum Mechanics is introduced from supersymmetry in theoretical physics by Witter and Cooper. A special superpotential W(r) and (V_±(r)) is constructed for N_dimensional hydrogen atoms. Under shape invariance potential condition, The energy eigenvalues and eigenfunction of N-dimensional hydrogen atoms are obtained.