EXACTNESS OF SEMICLASSICAL BOUND STATE ENERGIES FOR SUPERSYMMETRIC QUANTUM MECHANICS
EXACTNESS OF SEMICLASSICAL BOUND STATE ENERGIES FOR SUPERSYMMETRIC QUANTUM MECHANICS
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DOI：
10.1016/0370-2693(85)90160-1
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发表时间：
1985-01
影响因子：
4.4
通讯作者：
A. Comtet;A. Bandrauk;D. Campbell
中科院分区：
文献类型：
--
作者：
A. Comtet;A. Bandrauk;D. Campbell
我们证明了超对称量子力学的结构激发了一维哈密顿量的修正的半经典量子化条件。将某些著名的量子系统写成超对称形式，我们发现这个量子化规则给出了几个势的精确能量本征值，而传统的WKB不能给出准确的结果。
We show that the structure of supersymmetric quantum mechanics motivates a modified semiclassical quantization condition for one-dimensional hamiltonians. Writing certain well-known quantum systems in supersymmetric form, we discover that this quantization rule gives the exact energy eigenvalues for several potentials for which conventional WKB does not give exact results.