The variational principle and simple properties of the ground-state wave function
The variational principle and simple properties of the ground-state wave function
复制标题
基态波函数的变分原理和简单性质
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
F. Mazzanti
中科院分区：
文献类型：
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作者：
J. Mur;A. Polls;F. Mazzanti
利用变分原理证明了具有实势的单体薛定谔方程的基态波函数是实数、不改变符号且是非简并的。因此，如果哈密顿量在旋转和宇称变换下不变，则基态必须具有正宇称和零角动量。
The variational principle is used to show that the ground-state wave function of a one-body Schrodinger equation with a real potential is real, does not change sign, and is nondegenerate. As a consequence, if the Hamiltonian is invariant under rotations and parity transformations, the ground state must have positive parity and zero angular momentum.