The annihilation-creation operators $a^{(\pm)}$ are defined as the positive/negative frequency parts of the exact Heisenberg operator solution for the `sinusoidal coordinate'. Thus $a^{(\pm)}$ are hermitian conjugate to each other and the relative weights of various terms in them are solely determined by the energy spectrum. This unified method applies to most of the solvable quantum mechanics of single degree of freedom including those belonging to the `discrete' quantum mechanics.
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机译：an灭创造算子$ a ^ {（\ pm）} $被定义为“正弦坐标”精确Heisenberg算子解的正/负频率部分。因此，$ a ^ {（\ pm）} $是埃尔米特共轭的，它们中各个术语的相对权重仅由能谱确定。这种统一的方法适用于大多数单自由度可解量子力学，包括那些属于“离散”量子力学的量子力学。
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