Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel.
J Chem Phys. 2012 Jan 21;136(3):031102. doi: 10.1063/1.3680558.
We present a self-contained formulation of spin-free non-relativistic quantum mechanics that makes no use of wavefunctions or complex amplitudes of any kind. Quantum states are represented as ensembles of real-valued quantum trajectories, obtained by extremizing an action and satisfying energy conservation. The theory applies for arbitrary configuration spaces and system dimensionalities. Various beneficial ramifications-theoretical, computational, and interpretational-are discussed.
我们提出了一种自洽的无自旋非相对论量子力学表述，完全不使用波函数或任何形式的复振幅。量子态表示为实数值量子轨迹的集合，通过极值化作用量并满足能量守恒来获得。该理论适用于任意的构型空间和系统维数。讨论了各种有益的推论——理论、计算和解释。
