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On a phase space quantum description of the spherical 2-brane

机译:关于球形2-硼烷的相空间量子描述

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The quantum properties of the two-dimensional relativistic spherical membrane in phase space are analyzed using the Wigner function. Specifically, the true vacuum and rigid bubble nucleation cases are treated. Inspired by quantum cosmology, the Hartle-Hawking, Linde and Vilenkin boundary conditions are employed to calculate the bubble wave functions and their corresponding Wigner functions. Furthermore, the asymptotic behavior of the wave function using three different methods is explored and the Wigner functions are calculated numerically. Some aspects of the semiclassical properties for each boundary condition and their possible implications for quantum cosmology are discussed.
机译:使用维格纳函数分析了二维相对论球形膜在相空间中的量子性质。具体而言,对真正的真空和刚性气泡成核情况进行了处理。受量子宇宙学的启发,采用Hartle-Hawking,Linde和Vilenkin边界条件来计算气泡波函数及其相应的维格纳函数。此外,探索了使用三种不同方法的波动函数的渐近行为,并通过数值计算了维格纳函数。讨论了每个边界条件的半经典性质的某些方面及其对量子宇宙学的可能含义。

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