By using an exact analytical non-Hermitian formalism involving the full set of resonance (quasinormal) states and complex energy eigenvalues for quantum tunneling decay, we show that unitarity holds at any instant of time for the nonstationary decaying probability density in the whole space, thus providing a fundamental description of the quantum mechanical decay process.

中文翻译：

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用于解析精确非厄米共振态方法的量子隧穿衰变的幺正性

通过使用涉及量子隧穿衰变的全套共振（准正规）态和复杂能量特征值的精确解析非厄米形式主义，我们表明对于整个空间中的非平稳衰变概率密度，幺正性在任何时刻都成立，因此提供量子力学衰变过程的基本描述。