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A QUANTUM MECHANICAL MODEL FOR THE RATE OF RETURN

机译:收益率的量子力学模型

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摘要

In their activity, the traders approximate the rate of return by integer multiples of a minimal one. Therefore, it can be regarded as a quantized variable. On the other hand, there is the impossibility of observing the rate of return and its instantaneous forward time derivative, even if we consider it as a continuous variable. We present a quantum model for the rate of return based on the mathematical formalism used in the case of quantum systems with finite-dimensional Hilbert space. The rate of return is described by a discrete wave function and its time evolution by a Schroedinger type equation.
机译:在他们的活动中,交易员用最小整数的整数倍近似回报率。因此,可以将其视为量化变量。另一方面,即使我们将收益率视为连续变量,也无法观察收益率及其瞬时向前时间导数。我们基于具有有限维希尔伯特空间的量子系统的情况下所使用的数学形式主义,提出了一种收益率的量子模型。回报率由离散波函数描述,其时间演化由Schroedinger型方程式描述。

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