John S, Wilson J W
Vigyan, Inc., Hampton, Virginia 23666-1325, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Jan;49(1):145-56. doi: 10.1103/physreve.49.145.
The quantum Liouville equation is solved in the Wigner representation using generalized Monte Carlo techniques. For small increments of time, the solution is represented as a sequential classical evolution in phase space followed by a quantum "jump" distribution in momentum space, with the latter simulated via a stochastic method. Extending the work initiated by John and Remler [Ann Phys. (N.Y.) 180, 152 (1987)] the technique is developed and validated for higher dimensions. Also, an alternative algorithm is developed and applied to study motion of a quantum system in an anharmonic quartic potential well, with significantly improved results.
利用广义蒙特卡罗技术在维格纳表象中求解量子刘维尔方程。对于小时间增量，解表示为相空间中的连续经典演化，随后是动量空间中的量子“跳跃”分布，后者通过随机方法模拟。扩展约翰和雷姆勒[《物理学年鉴》（纽约）180, 152 (1987)]开创的工作，该技术被开发并在更高维度上得到验证。此外，还开发了一种替代算法，并将其应用于研究量子系统在非谐四次势阱中的运动，结果有显著改善。
