论文标题

阻尼振荡器的潜在量化程序

A Potential Based Quantization Procedure of the Damped Oscillator

论文作者

Márkus, Ferenc, Gambár, Katalin

论文摘要

如今,最繁荣的物理学领域是量子计算和旋转的。在这两种情况下,信息的丧失和耗散都起着至关重要的作用。在目前的工作中,我们制定了耗散振荡器的量化,该振荡器有助于对上述提到的理解,并创建了一个理论上的框架来克服这些问题。基于阻尼弹簧系统的Lagrangian框架,获得了系统的共轭对和系统的Hamiltonian,可以启动量化程序并始终如一地应用。结果,推导了耗散振荡器的阻尼量子波方程,通过该方程获得该方程的精确阻尼波解。因此,我们得出了这样一种不可逆的量子理论,可以通过其中描述量子损失。

Nowadays, two of the most prospering fields of physics are quantum computing and spintronics. In both, the loss of information and dissipation plays a crucial role. In the present work we formulate the quantization of the dissipative oscillator, which aids understanding of the above mentioned, and creates a theoretical frame to overcome these issues in the future. Based on the Lagrangian framework of the damped spring system, the canonically conjugated pairs and the Hamiltonian of the system are obtained, by which the quantization procedure can be started and consistently applied. As a result, the damping quantum wave equation of the dissipative oscillator is deduced, by which an exact damping wave solution of this equation is obtained. Consequently, we arrive at such an irreversible quantum theory by which the quantum losses can be described.

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