论文标题
理想量子QA中的布朗运动
The Brownian Motion in an Ideal Quantum Qas
论文作者
论文摘要
考虑了理想量子气中的布朗粒子。均方根位移（MSD）被得出。与经典的布朗尼运动相比，除了麦克斯韦 - 波尔兹曼分布以外，Bose-Einstein或Fermi-Dirac分布提供了不同的随机力。 MSD取决于热波长和中等颗粒的密度，它明确反映了对布朗粒子的量子效应。结果表明，理想的bose气体中的MSD比费米气体中的MSD短。随着温度的升高，量子布朗粒子的行为恢复了经典的布朗粒子。在低温下，量子效应变得明显。例如，由于费米尼交换相互作用，即使温度接近绝对零，因此布朗粒子的随机运动。
A Brownian particle in an ideal quantum gas is considered. The mean square displacement (MSD) is derived. The Bose-Einstein or Fermi-Dirac distribution, other than the Maxwell-Boltzmann distribution, provides a different stochastic force compared with the classical Brownian motion. The MSD, which depends on the thermal wavelength and the density of medium particles, reflects the quantum effect on the Brownian particle explicitly. The result shows that the MSD in an ideal Bose gas is shorter than that in a Fermi gas. The behavior of the quantum Brownian particle recovers the classical Brownian particle as the temperature raises. At low temperatures, the quantum effect becomes obvious. For example, there is a random motion of the Brownian particle due to the fermionic exchange interaction even the temperature is near the absolute zero.
